{"id":13,"date":"2024-04-04T00:12:00","date_gmt":"2024-04-03T21:12:00","guid":{"rendered":"https:\/\/sisu.ut.ee\/samm\/aegrea-esmasanaluus\/"},"modified":"2025-09-17T17:19:37","modified_gmt":"2025-09-17T14:19:37","slug":"aegrea-esmasanaluus","status":"publish","type":"page","link":"https:\/\/sisu.ut.ee\/samm\/aegrea-esmasanaluus\/","title":{"rendered":"Aegrea esmasanal\u00fc\u00fcs"},"content":{"rendered":"<p class=\"has-text-align-right\">Liina-Mai Tooding<br>2020<\/p>\n\n\n\n<p><strong>Kuidas kajastatakse andmeis aega?<\/strong><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Aeg on oluline n\u00e4itaja sotsiaalses anal\u00fc\u00fcsis \u2013 muutuja, mis v\u00f5rreldes staatiliste andmetega ilma kahtluseta rikastab j\u00e4reldusi, kuid samaaegselt lisab erin\u00f5udeid ning piiranguid andmeanal\u00fc\u00fcsi. Aega arvestatakse m\u00f5\u00f5tmisel mitmetel eri viisidel, nt teatud ajamomendil kirjeldatakse staatust (andmed \u00fcli\u00f5pilaste andmebaasis \u00fcli\u00f5pilase kohta:<i> 2015<\/i>\u2013<i>bakalaureuse\u00f5pe, 2016<\/i>\u2013<i>bakalaureuse\u00f5pe, 2017<\/i>\u2013<i>magistri\u00f5pe<\/i>) v\u00f5i fikseeritakse teatud s\u00fcndmuse toimumisel ajamoment (<i>Mis kell algas intervjuu?<\/i> <i>Mis aastal asusite elama Elvasse<\/i>?). Sageli vajatakse suhestamist teise ajamomendi v\u00f5i normiga (<i>Kas kolisite Tartusse enne \u00fclikoolis \u00f5ppima asumist? Kas intervjuu toimus ennel\u00f5unal?<\/i>). Suhestamise tulemuseks on sageli kestus (<i>Kui kaua kestis intervjuu? Kui kaua enne sellesse elupaika asumist olite elanud Tartus?<\/i>). Oluline kestuse t\u00f5lgendus on vanus. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Aja m\u00f5\u00f5tmine sotsioloogilistes andmetes toimub sageli omasuiste \u00fctluste p\u00f5hjal. See toob kaasa mitmed aja spetsiifikast tulenevad probleemid: ajaskaala on subjektiivne (\u201ehiljuti\u201c ei ole \u00fchtmoodi m\u00e4\u00e4ratletav), t\u00f5lgenduslik (vrd eri vanuses inimeste ajaperspektiivi), t\u00e4nap\u00e4eval k\u00f5neldakse kiirenevast ajast ajad\u00fcnaamika tajumisel. Ajaskaala on sageli suhteline.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Vaatleme p\u00f5gusalt praktikas sagedamini esinevaid ajast s\u00f5ltuvate andmete korrastamise viise.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Aegrida (ik <i>time series<\/i>) \u2013 aja jooksul muutuvate andmete rida. \u00dcksiktunnust fikseeritakse paljukordselt teatud ajavahemike j\u00e4rel, mis sageli on v\u00f5rdse pikkusega (aasta, tund, p\u00e4ev). T\u00fc\u00fcpiliselt on korraga vaadeldavaid aegridu (tunnuseid) v\u00e4he. Uuritavast objektist tekib d\u00fcnaamiline ettekujutus, kuid see on enamasti \u00fchek\u00fclgne. T\u00e4htis uurimis\u00fclesanne aegridade puhul on ajalise p\u00f5hisuundumuse (trendi) kirjeldamine. Riiklik statistika esitatakse enamjaolt aegridadena. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Paneelandmestik (kordusm\u00f5\u00f5tmised; ik <i>panel data, repeated measures<\/i>) \u2013 tunnuseid m\u00f5\u00f5detakse aja jooksul mitmel korral, kusjuures ajamomendid on valitud uuritavate isikute v\u00f5i objektide seisukohalt formaalselt, uurija tahte kohaselt. Indiviidide valik v\u00f5ib olla \u00fcks ja sama v\u00f5i erisugune, sageli on see osaliselt uuendatav teatud rotatsioonireegli kohaselt. Tunnuste valik on sama v\u00f5i osaliselt uuendatav. T\u00e4htis uurimis\u00fclesanne on kirjeldada muutust teatud indiviidir\u00fchma tasandil. Selle andmestikut\u00fc\u00fcbi n\u00e4iteks sobivad Eesti sotsiaaluuringu andmed (<i>Eesti sotsiaaluuring \u2026<\/i>) ja Euroopa sotsiaaluuringu andmed (<i>European Social Survey \u2026<\/i>).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Longituudandmestik (ik <i>longitudinal data<\/i>) \u2013 tunnuseid m\u00f5\u00f5detakse aja jooksul mitmel korral, kusjuures ajamomendid on valitud uuritavate isikute v\u00f5i objektide seisukohalt formaalselt. Indiviidide hulk on \u00fcks ja sama, mis v\u00f5imaldab j\u00e4lgida individuaalset d\u00fcnaamikat. Spetsiifiliseks uurimisobjektiks on \u00fche indiviidi olekute, staatuste, arvandmete jm ajalises j\u00e4rjekorras olevad jadad, kuid oluline on ka indiviidir\u00fchmade kokkuv\u00f5tete vaatlemine. Tunnuste valik on sama v\u00f5i osaliselt uuendatav, sageli ka uurimiskonteksti muutuse t\u00f5ttu, sest longituuduuring on tavaliselt pikaealine. T\u00e4htis uurimis\u00fclesanne on muutuse uurimine indiviidi tasandil. Selle uurimisviisi n\u00e4iteks on Eesti eluteeuuringud algusaastatega 1965 ja 1982 (uurimisr\u00fchma juht professor Mikk Titma; vt Titma 1999, Titma 2002, Kenkmann &amp; Saarniit 1998) ja hilisematest praeguseni kestvatest t\u00f6\u00f6dest Eesti laste isiksuse-, k\u00e4itumise- ja terviseuuring (ELIKTU, uurimisr\u00fchma juht professor Jaanus Harro, vt Harro jt 2015, vt ka <\/span><a href=\"http:\/\/www.ecpbhs.ee\/\">ELIKTU kodulehte<\/a><span style=\"line-height: normal;\">). <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Kestust kajastavaid andmeid kogutakse sageli s\u00fcndmusp\u00f5hiselt<b> <\/b>episoodide kaupa (ik <i>events history data<\/i>). Andmed fikseeritakse siis, kui meid huvitavate omaduste poolest on indiviidi olukorras toimunud teatav muutus (s\u00fcndmus). Aega ja s\u00fcndmust kirjeldavaid n\u00e4itajaid m\u00f5\u00f5detakse s\u00fcndmuse toimudes. Joonisel 1 on toodud n\u00e4ide m\u00f5\u00f5tmisest episoodide kaupa, kus perioodi katmiseks l\u00e4ks vaja nelja episoodi, millest viimane l\u00f5peb uuringu l\u00f5pu, mitte uue s\u00fcndmusega. <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"727\" height=\"207\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_15.59.56.png\" alt=\"Joonis 1. S\u00fcndmusp\u00f5hised andmed\" class=\"wp-image-235\" title=\"Joonis 1. S\u00fcndmusp\u00f5hised andmed\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_15.59.56.png 727w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_15.59.56-300x85.png 300w\" sizes=\"auto, (max-width: 727px) 100vw, 727px\"><figcaption class=\"wp-element-caption\">Joonis 1. S\u00fcndmusp\u00f5hised andmed<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Eri liiki s\u00fcndmustest (t\u00f6\u00f6koha omandamine, perekonnas\u00fcndmus, palgamuutus, elukoha muutus jne) kujunevad eri liiki episoodide jadad. S\u00fcndmuste anal\u00fc\u00fcsis (ik <i>event history analysis<\/i>) tegeldakse episoodi pikkuse modelleerimisega. Meetodi l\u00e4hteks on biomeetriast p\u00e4rinev eluea anal\u00fc\u00fcs (elukestusanal\u00fc\u00fcs, elulemisanal\u00fc\u00fcs, ik <i>survival analysis<\/i>) ja s\u00fcndmuste anal\u00fc\u00fcsi laiem levik sotsiaalteadustes algas m\u00f6\u00f6dunud sajandi viimases veerandis (Tuma 2004). <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Selles tekstis vaatleme l\u00e4hemalt aegrida, piirdudes esmasanal\u00fc\u00fcsi v\u00f5tetega aegrea anal\u00fc\u00fcsimisel. N\u00e4ited on koostatud paketi SPSS abil ja osutatud ka, mis v\u00f5imalused on paketis SPSS aegridade esmasanal\u00fc\u00fcsiks. See ei kata selle paketi aegridade anal\u00fc\u00fcsi k\u00f5iki v\u00f5imalusi.<\/span><\/p>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253df1-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253df1-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253df1-collapse\"><a>Aegrea komponendid<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253df1-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253df1-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<p><span style=\"line-height: normal;\">Aegrea m\u00e4\u00e4ratlused eri s\u00f5nastuses \u201eajast s\u00f5ltuvate vaatlustulemuste kogum\u201c, \u201en\u00e4htuse ajalist muutumist iseloomustavate arvandmete rida\u201c, \u201e\u00fcksteisele j\u00e4rgnevatel ajaintervallidel\/ajamomentidel m\u00f5\u00f5detud v\u00e4\u00e4rtuste rida\u201c jt sisaldavad kolme aegridade omadust: m\u00f5\u00f5tmiste j\u00e4rgnevus \u00fcksteisele ja sageli ka \u00fchesugused ajavahed, (enamjaolt) arvulisus ning p\u00fcsiv m\u00f5\u00f5tmisviis ja m\u00f5\u00f5tmistingimused. Formaalses t\u00e4histuses on aegrida indeksiga varustatud m\u00f5\u00f5tmiste <i>x<sub>t<\/sub><\/i>, <i>t<\/i> = 0, 1, 2, \u2026, <i>n<\/i> jada <i>x<\/i><sub>0<\/sub>, <i>x<\/i><sub>1<\/sub>, \u2026, <i>x<sub>n<\/sub><\/i>,<i> <\/i>mille \u00fcksikm\u00f5\u00f5tmist nimetatakse aegrea liikmeks v\u00f5i aegrea olekuks. Indeksit nimetatakse enamasti ajaks, kuigi selle t\u00e4henduseks v\u00f5ib olla ka m\u00f5ni muu j\u00e4rgnevust m\u00e4\u00e4rav n\u00e4itaja (nt kaugus t\u00e4iskilomeetrites Tallinnast). Kui aja \u00fchikuks on \u00fcksikmoment, siis k\u00f5neldakse vahel momentreast, kui ajavahemik, siis vahemikreast.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Joonisel 2 on kujutatud Eesti rahvaarvu aegrida sajandipikkusel perioodil. Aegrea kulg on mitmekesine: suhteline stabiilsus kuni Teise Maailmas\u00f5jani, katkemine, ligikaudu lineaarne t\u00f5us m\u00f6\u00f6dunud sajandi 90. aastateni ja seej\u00e4rel mittelineaarne langus stabiliseerumise v\u00f5i koguni t\u00f5usu m\u00e4rkidega. <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"807\" height=\"384\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.01.34.png\" alt=\"Joonis 2. Eesti rahvaarv aastatel 1919\u20132020 aasta alguse seisuga. Allikas: Eesti statistika andmebaas, tabel RV021, 29.02.2020; sama allikas kogu tekstis\" class=\"wp-image-236\" title=\"Joonis 2. Eesti rahvaarv aastatel 1919\u20132020 aasta alguse seisuga. Allikas: Eesti statistika andmebaas, tabel RV021, 29.02.2020; sama allikas kogu tekstis\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.01.34.png 807w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.01.34-300x143.png 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.01.34-768x365.png 768w\" sizes=\"auto, (max-width: 807px) 100vw, 807px\"><figcaption class=\"wp-element-caption\">Joonis 2. Eesti rahvaarv aastatel 1919\u20132020 aasta alguse seisuga. Allikas: Eesti statistika andmebaas, tabel RV021, 29.02.2020; sama allikas kogu tekstis<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Rahvaarvu aegrea detailsemaks kirjeldamiseks peaksime seda anal\u00fc\u00fcsima osade kaupa, sest eri osadel on erinev iseloom. Ka on selge, et m\u00f5isted, mille abil nendest osadest k\u00f5nelda, peaksid olema erinevad: alguses teatavast rahvaarvu tasemest ja k\u00f5ikumisest selle \u00fcmber, seej\u00e4rel kasvu\/kahanemise kiirusest ja laadist. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Aegreas eristatakse kolme osa:<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><i>e<sub>t<\/sub> <\/i>\u2013 juhuslik komponent ehk m\u00fcra (ik <i>random component, noise<\/i>)<i>,<\/i><\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><i>T<sub>t<\/sub> <\/i>\u2013 trend ehk suundumus, s\u00fcstemaatiline osa (ik<i> trend)<\/i>,<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><i>S<sub>t<\/sub><\/i> \u2013 sesoonne osa, perioodiline osa (ik<i> seasonal variation component).<\/i><\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Peale nende eristatakse pikemaajalisi v\u00e4hem selgeid kordusi ts\u00fcklitena (ik <i>cyclic variations<\/i>), nt majanduse arenguts\u00fcklite n\u00e4ol. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Aegrea anal\u00fc\u00fcs seisneb selle osade eritlemises. Osade kaudu v\u00f5ib aegrida vaadelda aditiivsena (liituvana):<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"108\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-5.png\" alt=\"\" class=\"wp-image-2039\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">v\u00f5i multiplikatiivsena (korrutisena):<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"94\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-6.png\" alt=\"\" class=\"wp-image-2040\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">mis logaritmides annab aditiivse mudeli:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"161\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-7.png\" alt=\"\" class=\"wp-image-2042\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-7.png 161w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-7-150x19.png 150w\" sizes=\"auto, (max-width: 161px) 100vw, 161px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Korrutismudel sobib<span style=\"color: black;\">, kui aegrea osad <\/span>on omavahel seotud, nt sesoonne osa on v\u00f5rdeline trendiga. K\u00f5iki osi ei pruugi aegreas alati leiduda. Aegrea anal\u00fc\u00fcsi \u00fclesanded on (1) aegrea osade kirjeldamine, sh v\u00e4ga sageli graafiliselt, (2) ilmnenud suundumuste seletamine kas m\u00f5ne teise aegrea v\u00f5i t\u00f5lgenduslikult taustateabe abil, ja (3) v\u00f5imaluse korral aegrea edasise kulu prognoos. Prognoosi v\u00f5imalikkuse m\u00e4\u00e4rab see, kuiv\u00f5rd p\u00fcsiv on suundumus aegreas.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Vaadeldavas rahvaarvu n\u00e4ites on selgelt olemas trendi sisaldavad perioodid (1950\u20131990, 1990\u20132015) ja samuti juhuslik komponent, kuid sesoonsust ja ts\u00fcklilisust ei ole m\u00e4rgata. Vaatlemegi allpool seda aegrida eraldi perioodidena, kus vaja l\u00e4heb eri liiki anal\u00fc\u00fcsiv\u00f5tteid. Selle aegrea puhul on ilmekalt n\u00e4ha elementaarne p\u00f5him\u00f5te, mida peaks j\u00e4rgima aegrea graafiku joonistamisel: aeg peab kulgema \u00fchetaoliselt, j\u00e4rjest. Ettekujutus rahvaarvust oleks hoopis teine, kui s\u00f5ja-aastad vahel j\u00e4tta. Seda vaevalt siin keegi teeks, aga m\u00f5ne v\u00e4hemn\u00e4htava katkestuse korral v\u00f5iks nii juhtuda. <\/span><\/p>\n\n\n\n<p><\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253e0c-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253e0c-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253e0c-collapse\"><a>Kuidas kirjeldada kokkuv\u00f5tlikult aegrida?<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253e0c-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253e0c-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<p><span style=\"line-height: normal;\">Vaatleme, milliseid aegrea statistilisi kokkuv\u00f5tteid v\u00f5iks tuua esile siis, kui aegrida kulgeb ajas suhteliselt stabiilselt, kindla suundumuseta. N\u00e4itena kasutame rahvaarvu perioodil 1923\u20131940, mis on kujutatud joongraafikuna joonisel 3 eraldi meeste ja naiste arvuna (1940. aasta andmed rahvaarvu kohta olid osutatud allikas olemas, aga naiste ja meeste kohta eraldi mitte). J\u00e4tsime selles alaosas oma v\u00e4\u00e4rtuslikust andmebaasist perioodi algusaastad 1919\u20131922 k\u00f5rvale sellep\u00e4rast, et neil aastail toimus m\u00e4rgatav rahvaarvu kasv, aga n\u00e4itajad, mida soovime vaadelda, eeldavad v\u00f5imalikult p\u00fcsivat aegrida.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><span lang=\"ET\" style=\"color: black;\">Jooniselt 3 n\u00e4htub, et ka sel perioodil on aegreas kasvav suundumus, kuid n\u00f5rgalt, 12<\/span>\u2013<span style=\"color: black;\">15 tuhande inimese piires. See \u00f5igustab perioodi kokkuv\u00f5tet keskmiselt. <\/span><\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"636\" height=\"384\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.11.58.png\" alt=\"Joonis 3. Rahvaarv Eestis aastatel 1923\u20131940. Allikas: Eesti statistika andmebaas, tabel RV021, 22.12.2019\" class=\"wp-image-240\" title=\"Joonis 3. Rahvaarv Eestis aastatel 1923\u20131940. Allikas: Eesti statistika andmebaas, tabel RV021, 22.12.2019\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.11.58.png 636w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.11.58-300x181.png 300w\" sizes=\"auto, (max-width: 636px) 100vw, 636px\"><figcaption class=\"wp-element-caption\">Joonis 3. Rahvaarv Eestis aastatel 1923\u20131940. Allikas: Eesti statistika andmebaas, tabel RV021, 22.12.2019<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Kui eeldada aegrea p\u00fcsivat taset ja trendi puudumist, siis saab esitada aegrea kokkuv\u00f5tte keskmise ja standardh\u00e4lbe kaudu. Kui on antud aegrida <i>x<\/i><sub>0<\/sub><i>, x<\/i><sub>2<\/sub><i>, \u2026, x<sub>t<\/sub>, \u2026, x<sub>n<\/sub><\/i>, siis selle aegrea aritmeetiliseks keskmiseks<i> <\/i>on <i>m<\/i>, mis leitakse valemist<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"107\" height=\"49\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-8.png\" alt=\"\" class=\"wp-image-2044\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Vajadusel v\u00f5ib ajamomentidele lisada sisuliselt p\u00f5hjendatud kaalud ja kasutada kaalutud keskmist. Eelnev valem on vahetult rakendatav diskreetsete ajamomentide jaoks. Kui aega k\u00e4sitletakse pideval skaalal, siis v\u00f5ib aegrea keskmise (nimetatakse ka kronoloogiliseks keskmiseks) leida aegrida \u00fchepikkusteks perioodideks jagades perioodikeskmiste keskmisena. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">M\u00f5nikord vaadeldakse tsentreeritud aegrida: elementide <i>x<sub>t<\/sub><\/i> asemel rida elementidest <i>x<sub>t<\/sub><\/i> \u2013 <i>m<\/i>, <i>t<\/i> = 0, 1, 2, \u2026, <i>n<\/i>. Selline aegrida n\u00e4itab olekuid keskmise oleku suhtes. Aegrea dispersiooniks on tsentreeritud v\u00e4\u00e4rtuste ruutude keskmine ja standardh\u00e4lbeks <i>s<\/i> ruutjuur sellest:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"159\" height=\"70\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-9.png\" alt=\"\" class=\"wp-image-2046\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Aegrea keskmise p\u00fcsivuse m\u00f5te seondub aegrea statsionaarsuse m\u00f5istega, mis t\u00e4hendab \u00fcldjoontes seda, et aegrea omadused aja jooksul ei muutu. Tuntakse mitmeid statsionaarsuse m\u00e4\u00e4ratlusi, olenevalt sellest, kui rangelt omadusi piiritletakse: nt eeldades, et keskmine ja dispersioon j\u00e4\u00e4vad p\u00fcsivaks aegrea eri l\u00f5ikudel, v\u00f5i eeldades, et aegrea elementide jaotus on p\u00fcsiv (vt huvi korral l\u00e4hemalt matemaatilist k\u00e4sitlust Kangro 2016, ptk 3). Need on teoreetilised eeldused, mille alusel on v\u00e4lja arendatud aegridade mudelid, sh aegridade prognoosimiseks. <\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">Tabel 1. Rahvaarv Eestis aastatel 1923\u20131940, tuhandetes<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"99\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.13.45.png\" alt=\"Tabel 1. Rahvaarv Eestis aastatel 1923\u20131940, tuhandetes\" class=\"wp-image-243\" title=\"Tabel 1. Rahvaarv Eestis aastatel 1923\u20131940, tuhandetes\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.13.45.png 750w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.13.45-300x40.png 300w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Tabelis 1 on esile toodud perioodi 1923\u20131940 keskmine rahvaarv ja selle standardh\u00e4lve. Mehi on sel perioodil keskmiselt 68,3 tuhande v\u00f5rra v\u00e4hem kui naisi. Naiste arv on sel perioodil kasvanud perioodi algusega v\u00f5rreldes enam kui meestel (vt haaret, sest v\u00e4him rahvaarv oli perioodi alguses ja suurim l\u00f5pus), mida kinnitab ka suurem standardh\u00e4lve. S\u00f5jaeelsel perioodil oli aastakeskmine naiste arv 660 tuhat ja meeste arv 530 tuhat.<\/span><\/p>\n\n\n\n<a href=\"#\" data-bs-toggle=\"modal\" data-bs-target=\"#popup-modal\" data-title=\"Kuidas joonistada paketis SPSS aegrea graafikut aegrea anal\u00fc\u00fcsi eriv\u00f5tete abil?\" data-content=\"&lt;\/p&gt;\n\n\n\n&lt;p&gt;Valida k\u00e4surida &lt;em&gt;Analyze \u2013 Forecasting \u2013 Sequence charts.&lt;\/em&gt;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Variables&lt;\/em&gt; \u2013 kanda v\u00e4ljale tunnused, mis kujutavad soovitavat aegrida (soovitavaid aegridu).&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Time Axis Labels &lt;\/em&gt;\u2013 kanda v\u00e4ljale tunnus, milles on olekutele vastavad aja v\u00e4\u00e4rtused.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Transform &lt;\/em&gt;\u2013 v\u00f5imalus teisendada aegrida:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Natural log transform&lt;\/em&gt; \u2013 arvutatakse aegrea elementide naturaallogaritmid (alus &lt;em&gt;e&lt;\/em&gt;);&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Difference&lt;\/em&gt; \u2013 arvutatakse aegrea elementide etteantud j\u00e4rku vahed (j\u00e4rk 1 \u2013 kahe j\u00e4rjestikuse oleku vahed, j\u00e4rk 2 \u2013 1. j\u00e4rku vahede aegrea vahed jne);&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Seasonally difference&lt;\/em&gt; \u2013 sesoonsete vahede arvutus, st vahede arvutus etteantud perioodilisuse reegli abil.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;One chart per variable&lt;\/em&gt; \u2013 selle valiku korral joonistatakse mitme kujutatava aegrea juhul iga diagramm eraldi.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Time Lines&lt;\/em&gt; \u2013 aknas saab m\u00e4\u00e4rata erihuvi pakkuvaid ajamomente m\u00e4rkivate joonte t\u00f5mbamise reegli:&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;No reference lines&lt;\/em&gt; \u2013 selliseid jooni ei t\u00f5mmata;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Lines at each change of&lt;\/em&gt; \u2013 kanda v\u00e4ljale &lt;em&gt;Reference variable&lt;\/em&gt; tunnus, mille iga muutuse korral t\u00f5mmatakse joon; kui selleks on aega m\u00e4rkiv tunnus, siis t\u00f5mmatakse joon iga ajamomendi kohta;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Line at date&lt;\/em&gt; \u2013 kirjutada ajamomendi number, mille korral t\u00f5mmata joon.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Format&lt;\/em&gt; \u2013 aknas saab m\u00e4\u00e4rata joonise vormi:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Time on horizontal axis&lt;\/em&gt; \u2013 valiku korral on ajateljeks horisontaaltelg, mitte valides \u2013 p\u00fcsttelg;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Single Variable Chart(s)&lt;\/em&gt; \u2013 aegrea joonistamiseks valitakse kas joondiagramm &lt;em&gt;Line Chart&lt;\/em&gt; v\u00f5i pinddiagramm &lt;em&gt;Area chart&lt;\/em&gt;;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Reference line at the mean of series&lt;\/em&gt; \u2013 valiku korral t\u00f5mmatakse aegrea keskmise kohale joon;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Multiple Variable Chart&lt;\/em&gt; \u2013 mitme aegrea kujutamisel v\u00f5ib teha valiku &lt;em&gt;Connect cases between variables&lt;\/em&gt; \u00fchendamaks eri aegridade olekuid ajamomentide kaupa.&lt;\/p&gt;\n\n\n\n&lt;p&gt;\">Kuidas joonistada paketis SPSS aegrea graafikut aegrea anal\u00fc\u00fcsi eriv\u00f5tete abil?<\/a>\n\n\n\n<p><\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253e27-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253e27-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253e27-collapse\"><a>Kuidas kirjeldada muutusi aegreas?<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253e27-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253e27-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<p><span style=\"line-height: normal;\">Kui aegrida ei ole p\u00fcsiv, siis tekib vajadus kirjeldada selle muutust. Praktikas on selleks kasutusel mitmeid intuitiivselt h\u00e4sti m\u00f5istetavaid n\u00e4itajaid, millest allpool vaatleme kesksemaid. Lisalugemist on rohkesti v\u00f5imalik leida igast majandusstatistika k\u00e4siraamatust (Sauga 2019, 2017, rohkesti n\u00e4iteid; Paas 1995).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><i>Absoluutne juurdekasv<\/i> (ik <i>difference, growth<\/i>)<i> d<sub>t<\/sub><\/i> ajamomendil <i>t <\/i>on k\u00e4esoleva oleku <i>x<sub>t<\/sub><\/i> ja eelmise oleku <i>x<sub>t<\/sub><\/i><sub>-1 <\/sub>vahe: <i>d<sub>t<\/sub><\/i> = <i>x<sub>t<\/sub><\/i> \u2013 <i>x<sub>t<\/sub><\/i><sub>-1<\/sub>, , <i>t<\/i> = 1, 2, \u2026, <i>n. <\/i>Absoluutne (mittesuhteline) juurdekasv n\u00e4itab, kui palju erineb aegrida antud ajamomendil aegrea v\u00e4\u00e4rtusest eelmisel ajamomendil. Negatiivne juurdekasv t\u00e4hendab aegrea kahanemist ja positiivne kasvu. Nulljuurdekasv t\u00e4hendab p\u00fcsivat aegrida. Absoluutse juurdekasvu m\u00f5\u00f5t\u00fchik on sama mis aegreal. Absoluutsetest juurdekasvudest tekib omakorda aegrida (\u00fche elemendi v\u00f5rra l\u00fchem kui algne aegrida \u2013 esimesel liikmel ei ole eelnevat liiget), mida v\u00f5ib vajadusel anal\u00fc\u00fcsida nagu tavalist aegrida.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><i>Kasvutempo (ahelindeks)<\/i> <i>k<sub>t<\/sub><\/i> ajamomendil <i>t<\/i> saadakse aegrea antud v\u00e4\u00e4rtuse jagamisel eelmise v\u00e4\u00e4rtusega; <i>k<sub>t<\/sub><\/i> = <i>x<sub>t<\/sub><\/i> \/ <i>x<sub>t<\/sub><\/i><sub>-1<\/sub>, kus <i>x<sub>t<\/sub><\/i> on <i>n<\/i> ajamomendi aegrida, <i>t<\/i> = 1, 2, \u2026, <i>n.<\/i> Arvust 1 v\u00e4iksem kasvutempo t\u00e4hendab kahanemist, arvust 1 suurem kasvutempo kasvu ja arvuga 1 v\u00f5rduv kasvutempo aegrea p\u00fcsivust antud ajamomendil. Kasvutempo n\u00e4itab, kui mitu korda \u00fcletab antud v\u00e4\u00e4rtus eelmist (kasvamisel) v\u00f5i kui suure osa moodustab eelmisest (kahanemisel). Kasvutempode v\u00e4\u00e4rtustest moodustub omakorda aegrida, mida v\u00f5ib anal\u00fc\u00fcsida tavap\u00e4rasel viisil. Lisame, et keskmise kasvutempo arvutamisel kasutatakse tavaliselt geomeetrilist keskmist: <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"189\" height=\"53\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-10.png\" alt=\"\" class=\"wp-image-2048\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Eelneva v\u00f5rduse viimane osa tuleb lihtsalt v\u00e4lja, kui panna kasvutempo asemele avaldis aegrea liikmete kaudu. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><i>Suhteline juurdekasv ehk juurdekasvutempo<\/i> (ik <i>growth rate<\/i>) on antud ajamomendi absoluutse juurdekasvu suhe aegrea eelmise ajamomendi liikmesse: <i>a<sub>t<\/sub><\/i> = <i>d<sub>t<\/sub><\/i> \/ <i>x<sub>t<\/sub><\/i><sub>-1<\/sub>, <i>t<\/i> = 0, 1, 2, \u2026, <i>n<\/i>. Lihtne algebraline arvutus v\u00f5imaldab n\u00e4idata, et juurdekasvutempo avaldub kasvutempo kaudu j\u00e4rgmiselt: <i>a<sub>t<\/sub><\/i> =<i> k<sub>t<\/sub> \u2013 <\/i>1. Kui kasvutempo on 1, siis on juurdekasvutempo 0. Kui juurdekasvutempo on positiivne arv, siis juurdekasvutempo n\u00e4itab mitmendiku v\u00f5rra aegrea liikmest eelmisel ajamomendil aegrida kasvas. Kui juurdekasvutempo on negatiivne, siis juurdekasvutempo n\u00e4itab, mitmendiku v\u00f5rra aegrea liikmest eelmisel ajamomendil aegrida kahanes. Suhtelist juurdekasvu v\u00e4ljendatakse sageli protsentides.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Sageli vaadeldakse aegrea muutust teatava alusajamomendi suhtes (jaanuar, I kvartal, perioodi algusaasta, parim aasta jne). Sel juhul asendatakse eelnevates m\u00f5istetes eelmine ajamoment alusajamomendiga ja k\u00f5neldakse vastavalt alusjuurdekasvust<i> (<\/i>ik<i> base growth), <\/i>aluskasvutempost (alusindeksist) ja<i> <\/i>suhtelisest alusjuurdekasvust<i> <\/i>ehk alusjuurdekasvutempost <i>(<\/i>i.k.<i> base growth rate)<\/i>. Alusjuurdekasv n\u00e4itab aegrea antud momendi liikme erinevust alusmomendi liikmest. Aluskasvutempo n\u00e4itab, kui mitmekordne on aegrea liige k\u00e4esoleval momendil v\u00f5rreldes alusmomendiga v\u00f5i, negatiivse kasvutempo korral, kui suure osa moodustab aegrea liikmest alusmomendil. Suhteline alusjuurdekasv n\u00e4itab, kui suure osa v\u00f5rra alusmomendi liikmest on aegrea k\u00e4esoleva momendi liige suurem (v\u00f5i v\u00e4iksem negatiivse aluskasvutempo korral) alusmomendi liikmest.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Tabelis 2 on toodud kahe n\u00e4ite korral eelnevate m\u00f5istete kohaseid arvutusi (<i>n<\/i> = 4, viie ajamomendi kasvav ja kahanev aegrida). Juurdekasvu, kasvutempot ja juurdekasvutempot v\u00f5ib iseloomustada kui ahelindikaatoreid, sest arvutuse alus nihkub aegrea iga liikme korral.<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">Tabel 2. N\u00e4iteid aegrea muutust kirjeldavate statistikute kohta<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"779\" height=\"592\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.22.07.png\" alt=\"Tabel 2. N\u00e4iteid aegrea muutust kirjeldavate statistikute kohta\" class=\"wp-image-245\" title=\"Tabel 2. N\u00e4iteid aegrea muutust kirjeldavate statistikute kohta\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.22.07.png 779w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.22.07-300x228.png 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.22.07-768x584.png 768w\" sizes=\"auto, (max-width: 779px) 100vw, 779px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Esimese aegrea geomeetriline keskmine kasvutempo on 1,457 ja teise aegrea geomeetriline keskmine kasvutempo (st kahanemistempo) on 0,69. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">P\u00f6\u00f6rdume tagasi rahvaarvu n\u00e4ite juurde ja vaatleme, kuidas esitatud m\u00f5istete abil iseloomustada Eesti rahvaarvu muutust perioodil 1950\u20131990. Uurime esmalt, milline n\u00e4eb v\u00e4lja absoluutsete juurdekasvude aegrida, mille moodustame esialgsest aegreast liikmete j\u00e4rjestikuse lahutamise teel (paketis SPSS on ulatuslikud v\u00f5imalused aegridade teisendamiseks, vt vastavat tekstikasti). Rahvaarvu juurdekasv on kuni 1955. aastani kiire, sealt edasi j\u00e4\u00e4b 10\u201318 tuhande piiresse ja alates 1975. aastast k\u00fcmne tuhande \u00fcmbrusse (joonis 4). Kui perioodi algusaastad k\u00f5rvale j\u00e4tta, siis v\u00f5iksime k\u00f5nelda perioodi keskosas suhteliselt p\u00fcsivast ning alguses ja l\u00f5pus aeglustuvast juurdekasvust. Sama j\u00e4relduse saame teha rahvaarvu kasvutempo vaatlemisel (joonis 5), aga teisest vaatenurgast.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"856\" height=\"504\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/pilt-103.png\" alt=\"\" class=\"wp-image-1895\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/pilt-103.png 856w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/pilt-103-300x177.png 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/pilt-103-768x452.png 768w\" sizes=\"auto, (max-width: 856px) 100vw, 856px\"><figcaption class=\"wp-element-caption\">Joonis 4. Rahvaarvu absoluutne juurdekasv Eestis 1950.\u20131990. aastatel<\/figcaption><\/figure>\n\n\n\n<p class=\"body\"><span lang=\"ET\">Rahvaarvu kasvutempo on vaadeldaval perioodil vahemikus 1,005 kuni 1,025, st iga j\u00e4rgnev aasta \u00fcletab eelmise (sama v\u00e4ljendasid positiivsed juurdekasvud joonisel 4). Juurdekasvutempo langeb alates 1955. aastast ja j\u00e4\u00e4b aja jooksul kergelt v\u00e4henedes 0,5% ja 1,5% vahele (meenutame: kasvutempo miinus 1, v\u00e4ljendatud protsentides). <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"726\" height=\"417\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.24.56.png\" alt=\"Joonis 5. Rahvaarvu kasvutempo 1950.\u20131990. aastatel\" class=\"wp-image-247\" title=\"Joonis 5. Rahvaarvu kasvutempo 1950.\u20131990. aastatel\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.24.56.png 726w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.24.56-300x172.png 300w\" sizes=\"auto, (max-width: 726px) 100vw, 726px\"><figcaption class=\"wp-element-caption\">Joonis 5. Rahvaarvu kasvutempo 1950.\u20131990. aastatel<\/figcaption><\/figure>\n\n\n\n<p class=\"body\"><a href=\"#\" data-bs-toggle=\"modal\" data-bs-target=\"#popup-modal\" data-title=\"Aegridade tuletamine antud aegreast paketi SPSS abil\" data-content=\"&lt;\/p&gt;\n\n\n\n&lt;p&gt;Osa selle tekstikasti sisust tuleb k\u00f5ne alla veidi hiljem.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Transform \u2013 Create time series&lt;\/em&gt; \u2013 kanda tunnus(ed), millest l\u00e4htudes koostada uus aegrida(read), v\u00e4ljale &lt;em&gt;Variable&lt;\/em&gt;\u2192&lt;em&gt;New Name&lt;\/em&gt;.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Variable&lt;\/em&gt;\u2192&lt;em&gt;New Name&lt;\/em&gt; \u2013 sellel v\u00e4ljal osutada uue aegrea nimi; pakutakse vaikimisi nime, mida saab ise muuta aknas &lt;em&gt;Name and Function&lt;\/em&gt;; nime j\u00e4rel osutatakse, mis laadi teisenduse abil moodustatakse uus aegrida; ka teisendust saab ise valida aknas &lt;em&gt;Name and Function&lt;\/em&gt;.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Name and Function &lt;\/em&gt;\u2013 uue aegrea defineerimine:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Name &lt;\/em&gt;\u2013 kl\u00f5psata aknas &lt;em&gt;Variable&lt;\/em&gt;\u2192&lt;em&gt;New Name &lt;\/em&gt;vajalik rida aktiivseks, kirjutada uue aegrea nimi tunnuse l\u00fchinime reeglite j\u00e4rgi, kui vaikimisi pakutu ei sobi;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Function&lt;\/em&gt; \u2013 valida teisendus, kui vaikimisi pakutu ei sobi; nime ja funktsiooni valiku l\u00f5petamisel kinnitada need k\u00e4suga &lt;em&gt;Change.&lt;\/em&gt;&lt;\/p&gt;\n\n\n\n&lt;p&gt;Funktsioonid on j\u00e4rgmised:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Difference &lt;\/em&gt;(vahed)\u2013 moodustatakse esialgse aegrea absoluutsetest vahedest koosnev aegrida; vahe j\u00e4rk m\u00e4\u00e4rata v\u00e4ljal &lt;em&gt;Order&lt;\/em&gt;; uues aegreas on vahe j\u00e4rguga v\u00f5rdne arv andmel\u00fcnki;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Seasonal Difference&lt;\/em&gt; (sesoonsed vahed)\u2013 moodustatakse esialgse aegrea sesoonsete (etteantud perioodiga) vahede aegrida; vahede j\u00e4rk m\u00e4\u00e4rata v\u00e4ljal &lt;em&gt;Order&lt;\/em&gt;; selle t\u00f6\u00f6 jaoks peab eelnevalt olema eraldi defineeritud k\u00e4sureaga &lt;em&gt;Data \u2013 Define Dates&lt;\/em&gt; sesoonsust v\u00e4ljendav aja tunnus; kui sellist tunnust ei ole m\u00e4\u00e4ratud, siis on aktiivselt n\u00e4ha tekst &lt;em&gt;Current Periodicity: None&lt;\/em&gt; ja moodustatakse absoluutsete vahede rida; uues aegreas on alguses nii mitu andmel\u00fcnka, nagu on perioodi ja j\u00e4rgu korrutis (nt kvartalisesoonsuse korral esimest j\u00e4rku sesoonsete vahede reas tekib neli andmel\u00fcnka);&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Cumulative Sum &lt;\/em&gt;(kumulatiivne summa) \u2013 moodustatakse esialgse aegrea liikmete kumulatiivsete summade aegrida; antud liikme kohal seisab kumulatiivne summa selle liikme kaasaarvamisel;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Lag &lt;\/em&gt;(nihe hilisemaks) \u2013 moodustatakse antud aegrea suhtes ajas tagasi nihutatud aegrida; viitaeg (see, mitme liikme v\u00f5rra nihutada), m\u00e4\u00e4ratakse v\u00e4ljal &lt;em&gt;Order&lt;\/em&gt;; aegrea alguses tekib viitajaga v\u00f5rdne arv andmel\u00fcnki;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Lead&lt;\/em&gt; (nihe varasemaks) \u2013 moodustatakse antud aegrea suhtes ajas ettepoole nihutatud aegrida; see, mitme liikme v\u00f5rra nihutada, m\u00e4\u00e4ratakse v\u00e4ljal &lt;em&gt;Order&lt;\/em&gt;; aegrea l\u00f5ppu tekib viitajaga v\u00f5rdne arv andmel\u00fcnki.&lt;\/p&gt;\n\n\n\n&lt;p&gt;Selle k\u00e4su \u00fclej\u00e4\u00e4nud v\u00f5imalusi tutvustatakse tekstikastis \u201eAegrea silumine paketi SPSS abil\u201c aegridade silumise alapeat\u00fcki juures.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;strong&gt;N\u00e4pun\u00e4ide absoluutsete vahede&lt;\/strong&gt; aegrea arvutamiseks: kasutada funktsiooni &lt;em&gt;Difference&lt;\/em&gt;.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;strong&gt;N\u00e4pun\u00e4ide kasvutempo&lt;\/strong&gt; arvutamiseks: moodustada viitajaga 1 hilisemaks nihutatud aegrida funktsiooniga &lt;em&gt;Lag&lt;\/em&gt; ja leida k\u00e4sureaga &lt;em&gt;Transform-Compute&lt;\/em&gt; esialgse ja nihutatud aegrea jagatis.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;strong&gt;N\u00e4pun\u00e4ide geomeetrilise keskmise&lt;\/strong&gt; arvutamiseks: &lt;em&gt;Compare Means \u2013 Means&lt;\/em&gt;, valida &lt;em&gt;Geometric mean.&lt;\/em&gt;&lt;\/p&gt;\n\n\n\n&lt;p&gt;\">Aegridade tuletamine antud aegreast paketi SPSS abil<\/a><\/p>\n\n\n\n<p><\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253e4e-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253e4e-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253e4e-collapse\"><a>Kuidas tuua esile aegrea p\u00f5hisuundumus ehk trend?<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253e4e-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253e4e-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<p class=\"body\"><span style=\"line-height: normal;\">Aegrea s\u00fcstemaatilise osa \u2013 trendi \u2013 teadmine v\u00f5imaldab aegrea kompaktset kirjeldust matemaatilise funktsiooni kujul ja selle kaudu ka teatud ulatuses ennustada aegrea tulevast k\u00e4iku. Trend peegeldab formaliseeritud kujul aegrea s\u00f5ltuvust ajast. Praktilistel kaalutlustel on alati m\u00f5istlik eelistada sobivatest trendi kirjeldavatest mudelitest v\u00f5imalikult lihtsat. Trend on ligil\u00e4hedane aegrea esitus ja seep\u00e4rast tuleks trendi t\u00e4iendavalt iseloomustada ka t\u00e4psuse poolest, nt vastava matemaatilise funktsiooni kirjeldusastme kaudu (kui suure osa aegrea hajuvusest kirjeldab valitud l\u00e4hendfunktsioon, kasutada determinatsioonikordajat aja seisukohalt). Trendi kirjeldamise \u00fclesanne on lahendatud ka sel juhul, kui trendi eritleda ei \u00f5nnestu, sest igas aegreas ei pruugi trendi olla. \u00d5igemini, trend on sel juhul ajast s\u00f5ltumatu konstandiga (aegrea keskmine) v\u00f5rduv funktsioon. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Millest k\u00f5neleb see, et rahvaarvu n\u00e4ites vahede aegrida aastatel 1950\u20131990 (joonis 4) on v\u00e4hemalt ositi suhteliselt p\u00fcsiv? Sellest, et rahvaarvu selle perioodi aegrida on v\u00e4hemalt ositi v\u00f5imalik k\u00fcllalt h\u00e4sti kirjeldada lineaarse trendiga. T\u00f5epoolest, kui aegrea trend avaldub aja suhtes lineaarselt ja iga t korral kehtib seos <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"75\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-11.png\" alt=\"\" class=\"wp-image-2050\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">kus <i>a<\/i> ja<i> b<\/i> on sobivalt leitud parameetrid, siis vahe<i> d<sub>t<\/sub><\/i> on p\u00fcsiv:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"279\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-12.png\" alt=\"\" class=\"wp-image-2051\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Lineaarse trendiga aegreas on juurdekasv p\u00fcsiv. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Vahede aegrea koostamine on lihtne v\u00f5te trendi eemaldamiseks. Kui j\u00e4rele j\u00e4\u00e4b juhuslik aegrida nullm\u00fcrataseme suhtes, siis v\u00f5ib j\u00e4reldada, et lineaarne trend on aegrea hea iseloomustaja. Seej\u00e4rel tasub uurida l\u00e4hemalt, missuguse matemaatilise v\u00f5rrandiga on see trend. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Kui vahede rida ei ole p\u00fcsiv, siis tasuks edasi uurida teist j\u00e4rku vahede aegrida ehk vahede vahedest moodustatud aegrida. Kui see on p\u00fcsiva k\u00e4iguga, siis v\u00f5iks olla heaks trendi l\u00e4hendiks ruutfunktsioon (selle p\u00f5hjendus on analoogiline \u00e4sjatoodule, ainult algebraliselt natuke t\u00fclikam). Ruuttrendi<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"110\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-13.png\" alt=\"\" class=\"wp-image-2053\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">korral ei ole juurdekasv (aegrea muutuse \u201ekiirus\u201c) p\u00fcsiv, vaid s\u00f5ltub ajast ja ruutliikme kordajast <i>c<\/i>. Juurdekasvude v\u00e4\u00e4rtustest moodustatud aegrea juurdekasv (aegrea muutuse \u201ekiirendus\u201c) on ruuttrendi korral p\u00fcsiv.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Aegrea l\u00e4hendk\u00f5verat<i> <\/i>sobitatakse praktikas ajast s\u00f5ltuvuse l\u00e4hendfunktsioonide laiast hulgast, mitte \u00fcksi pol\u00fcnoomidena aja suhtes, nagu \u00e4sja vaatlesime (nt eksponentsiaalne s\u00f5ltuvus ajast, logaritmiline trend). Tabav l\u00e4hendfunktsiooni valik on hea sobituse alus. Heaks abiliseks mudeli valikul on sageli aegrea diagramm, millelt tuleb otsida sarnasust m\u00f5ne matemaatilise funktsiooni graafikuga. Loomulikult on vaja sisuliselt m\u00f5ista modelleeritavat protsessi. Nagu juba eespool \u00f6eldud: kasutada nii lihtsat funktsiooni kui v\u00f5imalik, aga loomulikult olenevalt ka trendi leidmise eesm\u00e4rgist. \u00dcldise suundumuse selgitamisel on lihtne ajast s\u00f5ltuvuse reegel parem kui suure t\u00e4psusega keeruline mudel, kuid n\u00e4iteks f\u00fc\u00fcsikalise katse tulemusi kirjeldades v\u00f5i majandusprognoosi korral j\u00e4\u00e4ks sellest v\u00f5ib-olla vajaka. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Naaseme rahvaarvu muutuste juurde aastatel 1950\u20131990. Kui hoolikalt vaadelda joonist 2, siis on n\u00e4ha ka teatavat k\u00f5rvalekallet (kumerust) h\u00fcpoteetilisest sirgjoonelisest rahvaarvu kasvust. Seep\u00e4rast sobitame vastava aegrea trendina sirge k\u00f5rval ka teisi funktsioone. Kuidas seda teha paketi SPSS vahenditega, on kirjeldatud vastavas tekstikastis. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Tabelis 3 on esitatud tuhandetes v\u00e4ljendatud rahvaarvu lineaarse mudeli kohased tabelid paketi SPSS kasutamise tulemusena. Aega arvestatakse aasta j\u00e4rjekorranumbri kaudu alates 1940. aastast. Tulemused on esitatud kohati liiga suure t\u00e4psusega, aga nii on lugejal v\u00f5imalik soovi korral kaasa arvutada. Tabeli 3 esimene osa sisaldab trendi sobitusastet iseloomustava mitmese korrelatsioonikordaja aja suhtes (<i>R<\/i>, ik <i>multiple correlation coefficient<\/i>) ja selle ruudu (determinatsioonikordaja, ik <i>determination coefficient, R square<\/i>); korrigeeritud v\u00e4\u00e4rtus arvestab mudelis olevate tegurite arvu, praegu vabaliige ja aeg ning v\u00e4\u00e4rtus praktiliselt ei muutu). Determinatsioonikordaja on 100% l\u00e4hedal, mis k\u00f5neleb v\u00e4ga h\u00e4sti sobituvast trendist. Ka hinnangu standardh\u00e4lve ei ole aegrea liikmete suurusj\u00e4rku (rahvaarv tuhandetes) arvestades suur.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Tabeli 3 teise osa moodustab klassikaline <\/span><a title=\"\" href=\"http:\/\/samm.ut.ee\/dispersioonanalyys\" target=\"_blank\" rel=\"noopener\" data-url=\"http:\/\/samm.ut.ee\/dispersioonanalyys\">dispersioonal\u00fc\u00fcsi<\/a><span style=\"line-height: normal;\"> tabel, milles n\u00e4idatakse trendi lahknevust aegreast liikmeti summaarse ruuth\u00e4lbe osadena: trendi poolt kirjeldatud osa (regressioon, aegrea avaldis aja kaudu) ja j\u00e4\u00e4k (trendi poolt kirjeldamata osa). Determinatsioonikordaja n\u00e4itab trendi abil kirjeldatud osa suhet kogu h\u00e4lbesse. Dispersiooni lahutusega osadeks kontrollitakse h\u00fcpoteesi, et vaadeldav mudel aja kaudu on statistiliselt sama kirjeldusj\u00f5uga nagu ainult konstanti sisaldav mudel (st keskmisega v\u00f5rdumise mudel). Esitatakse sellekohane F-statistik ja olulisuse t\u00f5en\u00e4osus.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Tabeli 3 kolmandas osas kirjeldatakse trendijoone v\u00f5rrandit: <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"146\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-14.png\" alt=\"\" class=\"wp-image-2056\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">kus <i>t<\/i> on vaadeldava perioodi aasta j\u00e4rjekorranumber (v\u00f5i aasta, kui oleksime kasutanud aastanumbreid),<i> t<\/i> = 1, 2, \u2026, 41. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Lineaarse mudeli kohaselt kasvab rahvaarv aasta keskmiselt 13.35 tuhande v\u00f5rra. Lineaarse trendi kohane rahvaarv 1959. aastal on 1056,92 + 13,35 \u2219 10 = 1190,42 ja 1979. aastal 1056,92 + 13,35 \u2219 30 = 1457.42. Kui v\u00f5rrelda neid tegeliku rahvaarvuga neil aastail, mis on vastavalt 1191.43 ja 1464.48, siis v\u00f5iks \u00f6elda, et lineaarse prognoosi viga ei ole suur. Tabelis on esitatud veel ka standarditud andmeile vastav kordaja (v\u00f5rdub \u00fcheainsa seletava tunnuse korral korrelatsioonikordajaga) ja<i> t<\/i>-statistik (kordaja ja selle standardh\u00e4lbe suhe) kontrollimaks h\u00fcpoteesi kordaja v\u00f5rdumisest nulliga, mille tulemuseks esitatakse olulisuse t\u00f5en\u00e4osus. <\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">Tabel 3. 1950.\u20131990. aastate rahvaarvule lineaarse trendi sobitamine<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"734\" height=\"565\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.35.01.png\" alt=\"Tabel 3. 1950.\u20131990. aastate rahvaarvule lineaarse trendi sobitamine\" class=\"wp-image-252\" title=\"Tabel 3. 1950.\u20131990. aastate rahvaarvule lineaarse trendi sobitamine\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.35.01.png 734w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.35.01-300x231.png 300w\" sizes=\"auto, (max-width: 734px) 100vw, 734px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Katsetame ka teisi trendifunktsioone. Kui dispersioonanal\u00fc\u00fcsi detailset tabelit ei kasuta, siis tuuakse paketi SPSS korral mitut mudelit korraga sobitades esile k\u00f5igi kasutatud mudelite \u00fchine kokkuv\u00f5te (tabel 4), milles esitatakse determinatsioonikordaja, t\u00e4htsamad osad dispersioonanal\u00fc\u00fcsi tabelist (vrd lineaarse trendi rida tabeli 3 keskmise osaga) ja trendi mudeli kordajad (vrd lineaarse mudeli rida tabeliga 3). N\u00e4eme, et ruuttrendi kirjeldusaste on suurim ja logaritmilise trendi kasutamine on suhteliselt eba\u00f5nnestunum valik. Ruuttrendi v\u00f5rrand on: <\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><em>x<sub>t <\/sub><\/em>= 1017,77 + 18,81 <em>t <\/em>\u2013 0,130 <em>t<\/em><sup>2<\/sup>,<\/p>\n\n\n\n<p><span style=\"line-height: normal;\">kus <i>t<\/i> = 1, 2, \u2026, 41. Sellest n\u00e4htub, mida hilisem aasta, seda v\u00e4iksem on rahvaarvu kasv aja seisukohalt (aja ruudu kordaja on miinusm\u00e4rgiga, aja kordaja plussm\u00e4rgiga). V\u00e4henevat kasvutempot n\u00e4gime ka jooniselt 4 ja n\u00fc\u00fcd ilmnes aeglustuv rahvaarvu kasv ka teist laadi anal\u00fc\u00fcsi kaudu. <\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">Tabel 4. Erinevate trendide sobitamine 1950.\u20131990. aastate rahvaarvule<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" width=\"815\" height=\"348\" title=\"Tabel 4. Erinevate trendide sobitamine 1950.\u20131990. aastate rahvaarvule\" class=\"alignnone wp-image-254\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.36.24.png\" alt=\"Tabel 4. Erinevate trendide sobitamine 1950.\u20131990. aastate rahvaarvule\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.36.24.png 815w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.36.24-300x128.png 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.36.24-768x328.png 768w\" sizes=\"auto, (max-width: 815px) 100vw, 815px\"><span style=\"line-height: normal;\">L<\/span><\/p>\n\n\n\n<p class=\"has-text-align-left\">L<span style=\"line-height: normal;\">ogaritmilise trendi v\u00f5rrand on:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"163\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-15.png\" alt=\"\" class=\"wp-image-2060\"><\/figure>\n\n\n\n<p class=\"has-text-align-left\"><span style=\"line-height: normal;\">millest n\u00e4eme taas aeglustuvat kasvu aja seisukohalt (logaritmteisendus \u201esurub kokku\u201c suuremaid v\u00e4\u00e4rtusi, aga paraku intuitiivselt raskesti tajutavalt). Sobitamisel logaritmfunktsiooni kaudu ei liikunud m\u00f5te siiski v\u00e4ga vales suunas, sest saab lihtsalt n\u00e4idata, et sel juhul aegrea juurdekasvutempo on p\u00f6\u00f6rdv\u00f5rdeline ajaga. Siiski osutus regressioonimeetodil leitud parim logaritmiline trendik\u00f5ver kahanemises liiga j\u00e4rsuks. Seda n\u00e4eme jooniselt 6, kus on kujutatud tabelis 4 kirjeldatud trendijooned tegeliku aegrea k\u00f5rval.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Eksponentsiaalse trendi leidmisel sobitatakse l\u00e4hendjoont aegrea liikmete logaritmidest moodustatud aegreale, st ln <i>x<sub>t<\/sub><\/i> = ln <i>b<\/i><sub>0<\/sub> + <i>b<\/i><sub>1<\/sub><i>t<\/i>. N\u00e4eme, et sobitusaste on determinatsioonikordaja alusel k\u00f5rge, aga lahknevus aegrea punktidest (viga, prognoosij\u00e4\u00e4k) suurem kui lineaarse l\u00e4hendi korral (joonis 6). <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Ruuttrend j\u00e4rgib k\u00f5ige t\u00e4psemalt aegrida. Selgelt on n\u00e4ha lineaarse trendi viga perioodi alguses ja l\u00f5pus ning keskel (nimetasime eespool joone kumerust). Eelnevalt toodud n\u00e4ide lineaarse trendi hea t\u00e4psuse kohta oli meelega valitud kohast, kus sirgjoon l\u00e4bis vastavat punkti suhteliselt t\u00e4pselt (10. ja 30. aasta) ja seep\u00e4rast j\u00e4i mulje heast l\u00e4hendist. N\u00fc\u00fcd kummutasime selle pistelise mulje.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"753\" height=\"485\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.38.19.png\" alt=\"Joonis 6. Erinevate trendijoonte sobitamine rahvaarvu muutustele 1950.\u20131990. aastatel  T\u00f5lge: Linear \u2013 lineaarne funktsioon, Logarithmic \u2013 logaritmfunktsioon, Quadratic \u2013 ruutfunktsioon, Exponential \u2013 eksponentfunktsioon\" class=\"wp-image-256\" title=\"Joonis 6. Erinevate trendijoonte sobitamine rahvaarvu muutustele 1950.\u20131990. aastatel  T\u00f5lge: Linear \u2013 lineaarne funktsioon, Logarithmic \u2013 logaritmfunktsioon, Quadratic \u2013 ruutfunktsioon, Exponential \u2013 eksponentfunktsioon\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.38.19.png 753w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.38.19-300x193.png 300w\" sizes=\"auto, (max-width: 753px) 100vw, 753px\"><figcaption class=\"wp-element-caption\">Joonis 6. Erinevate trendijoonte sobitamine rahvaarvu muutustele 1950.\u20131990. aastatel<br>T\u00f5lge: <em>Linear<\/em> \u2013 lineaarne funktsioon, <em>Logarithmic<\/em> \u2013 logaritmfunktsioon, <em>Quadratic <\/em>\u2013 ruutfunktsioon, <em>Exponential <\/em>\u2013 eksponentfunktsioon<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Tabelis 5 on esile toodud trendi suhtes arvutatud j\u00e4\u00e4kide (aegrea liige miinus v\u00e4\u00e4rtus trendijoonel, p\u00fcstjoone pikkus punktist trendijooneni) statistika. Ruuttrendi viga j\u00e4\u00e4b -13.5 ja 11.7 vahele ja on m\u00e4rgatavalt v\u00e4iksem kui kahel \u00fclej\u00e4\u00e4nud mudelil. Vea keskmine on trendi konstruktsiooni kohaselt 0, aga standardh\u00e4lbed varieeruvad tugevalt, nt eba\u00f5nnestunult valitud logaritmtrendi puhul on see k\u00fcmnekordne ruuttrendiga. Ka eksponentsiaalse trendi vigade standardh\u00e4lve on suhteliselt suur.<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">Tabel 5. Erinevate trendide kohaste j\u00e4\u00e4kide statistika<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"113\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.39.03.png\" alt=\"Tabel 5. Erinevate trendide kohaste j\u00e4\u00e4kide statistika\" class=\"wp-image-257\" title=\"Tabel 5. Erinevate trendide kohaste j\u00e4\u00e4kide statistika\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.39.03.png 750w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.39.03-300x45.png 300w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\"><span lang=\"ET\" style=\"color: black;\">Kas trendi alusel v\u00f5iks teha ka prognoose <\/span>(ik <i>forecast, prognosis<\/i>, <i>prediction<\/i>)<span style=\"color: black;\">? P\u00f5him\u00f5tteliselt jah, kuid v\u00e4ga piiraval eeldusel: juhul, kui aegrea trend oluliselt ei muutu. Kui seda on v\u00f5imalik veenvalt t\u00f5endada, siis mida t\u00e4psemalt on m\u00e4\u00e4ratud senine trend, seda parema prognoosi saame. Praktikas, eriti suurte keeruliste s\u00fcsteemide korral n\u00f5uab ennustamine v\u00e4ga suurt ettevaatust ja on m\u00f5eldav vaid l\u00e4hituleviku jaoks. Vaadelge selle \u00fcle j\u00e4rele m\u00f5eldes veel kord rahvaarvu joonist 2 ja kujutlege, kui hea ennustuse saaksime \u2212 k\u00e4\u00e4nupunkte k\u00f5rvale j\u00e4ttes \u2013 m\u00f5ne formaalse trendijoone alusel, mis leitakse alates 1990. aastast kujunenud aegrea p\u00f5hjal.<\/span><\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><span lang=\"ET\" style=\"color: black;\">Aegrea sobitamine l\u00e4hendfunktsiooniga t\u00e4hendab aegrea asendamist selle \u00fche komponendiga, nimelt trendiga (koos sesoonsuse ja ts\u00fcklilisusega, kui need on olemas), j\u00e4ttes k\u00f5rvale juhusliku osa, juhusliku komponendi. J\u00e4rgmises osas vaatleme sisuliselt sama \u00fclesannet, millega \u00e4sja tegelesime, kuid lahendame seda teiselt poolt, juhusliku osa v\u00e4ljaj\u00e4tmise (v\u00e4hendamise) teel.<\/span><\/span><\/p>\n\n\n\n<a href=\"#\" data-bs-toggle=\"modal\" data-bs-target=\"#popup-modal\" data-title=\"Kuidas leida trendi aegreas paketi SPSS abil?\" data-content=\"&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Analyze \u2013 Regression \u2013 Curve Estimation &lt;\/em&gt;ja teha aknas valikud.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Dependent(s)&lt;\/em&gt; \u2013 sellele v\u00e4ljale kanda anal\u00fc\u00fcsitava aegrea tunnuse nimi \/ tunnuste nimed.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Independent &lt;\/em&gt;\u2013 sellele v\u00e4ljale kanda kas tunnus, mis sisaldab ajamomente (valik &lt;em&gt;Variable&lt;\/em&gt;), v\u00f5i teha valik &lt;em&gt;Time&lt;\/em&gt;, mille korral ajamomendid nummerdatakse alates arvust 1 ja eeldatakse olevat \u00fcksteisest \u00fchel kaugusel.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Case Labels&lt;\/em&gt; \u2013 siia kanda ajamomendi tunnus v\u00f5i m\u00f5ni muu aegrea liikme nimi.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Include constant in equation&lt;\/em&gt; \u2013 kui valitud, siis sisaldub mudelis ka vabaliige; soovitav valida.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Plot models&lt;\/em&gt; \u2013 sobitatava trendi graafikute esiletoomine.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Models&lt;\/em&gt; \u2013 sisaldab 11 v\u00f5imalust trendi sobitamiseks (vt &lt;em&gt;Curve Estimation Models. IBM Knowledge Center&lt;\/em&gt; &amp;#8230;), nimetame n\u00e4iteks neist m\u00f5ned:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Linear &lt;\/em&gt;\u2013 aegrida l\u00e4hendatakse aja seisukohalt lineaarse v\u00f5rrandi j\u00e4rgi: &lt;em&gt;x&lt;sub&gt;t&lt;\/sub&gt;&lt;\/em&gt;= &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;0&lt;\/sub&gt; + &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;1&lt;\/sub&gt;&lt;em&gt;t&lt;\/em&gt;, sobib rakendamiseks, kui aegrea kasv\/kahanemine on p\u00fcsiv;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Quadratic&lt;\/em&gt; \u2013 aegrida l\u00e4hendatakse aja seisukohalt ruutv\u00f5rrandi j\u00e4rgi: &lt;em&gt;x&lt;sub&gt;t&lt;\/sub&gt;&lt;\/em&gt;= &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;0&lt;\/sub&gt; + &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;1&lt;\/sub&gt;&lt;em&gt;t &lt;\/em&gt;+ &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;2&lt;\/sub&gt;&lt;em&gt;t&lt;\/em&gt;&lt;sup&gt;2&lt;\/sup&gt;, sobib rakendamiseks, kui aegrea kasv v\u00f5i kahanemine aja jooksul muutub p\u00fcsiva kiirusega;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Cubic &lt;\/em&gt;\u2013 aegrida l\u00e4hendatakse aja seisukohalt kuuppol\u00fcnoomiga;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Logarithmic &lt;\/em&gt;\u2013 aegrida l\u00e4hendatakse funktsiooniga &lt;em&gt;x&lt;sub&gt;t&lt;\/sub&gt;&lt;\/em&gt;= &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;0&lt;\/sub&gt; + &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;1&lt;\/sub&gt; ln(&lt;em&gt;t&lt;\/em&gt;), sobib kasutada, kui aegrea kasv v\u00f5i kahanemine on aja suhtes p\u00f6\u00f6rdv\u00f5rdeline;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Inverse &lt;\/em&gt;\u2013 aegrida l\u00e4hendatakse funktsiooniga &lt;em&gt;x&lt;sub&gt;t &lt;\/sub&gt;&lt;\/em&gt;= &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;0&lt;\/sub&gt; + &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;1&lt;\/sub&gt; \/ &lt;em&gt;t&lt;\/em&gt;;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Exponential&lt;\/em&gt; \u2013 aegrida l\u00e4hendatakse funktsiooniga &lt;em&gt;x&lt;sub&gt;t &lt;\/sub&gt;&lt;\/em&gt;= &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;0&lt;\/sub&gt; exp(&lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;1&lt;\/sub&gt;&lt;em&gt;t&lt;\/em&gt;) ehk ln &lt;em&gt;x&lt;sub&gt;t&lt;\/sub&gt;&lt;\/em&gt; = ln &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;0&lt;\/sub&gt; + &lt;em&gt;b&lt;\/em&gt;&lt;sub&gt;1&lt;\/sub&gt;&lt;em&gt;t&lt;\/em&gt;, sobib kasutada, kui aegrea juurdekasvutempo on ajas p\u00fcsiv.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Display Anova Table&lt;\/em&gt; \u2013 saab esile tuua l\u00e4hendusele vastava dispersioonanal\u00fc\u00fcsi tabeli selle klassikalisel kujul kontrollimaks h\u00fcpoteesi l\u00e4hendi statistilise olulisuse kohta (nullh\u00fcpotees: mudeli sobitus statistiliselt sama, mis konstantse mudeli korral, st juhul, kui trend on p\u00fcsiv, v\u00f5rdne aegrea keskmisega).&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Save &lt;\/em&gt;\u2013 on v\u00f5imalik salvestada trendifunktsioonile vastav aegrida:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Predicted values&lt;\/em&gt; \u2013 salvestatakse valitud funktsiooni kohane v\u00e4\u00e4rtus, sealjuures kas eelnevate liikmete kaudu (valik &lt;em&gt;Predict from estimation through last case&lt;\/em&gt;) v\u00f5i teatava \u00fcksikliikme j\u00e4rgi, mis tuleb siis ka osutada (&lt;em&gt;Predict through &amp;#8230; Observation&lt;\/em&gt;);&lt;\/p&gt;\n\n\n\n&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;em&gt;Residuals &lt;\/em&gt;\u2013 salvestatakse valitud funktsiooni kohasele prognoosile vastavad j\u00e4\u00e4gid (aegrea tegelik v\u00e4\u00e4rtus miinus prognoos sobitatava funktsiooni kohaselt); oluline uurida selle jaotust; &lt;em&gt;Prediction intervals&lt;\/em&gt; \u2013 salvestatakse prognoosi usaldusvahemik, mille jaoks valida usaldusnivoo; vaikimisi 95%.&lt;\/p&gt;\n\n\n\n&lt;p&gt;\">Kuidas leida trendi aegreas paketi SPSS abil?<\/a>\n\n\n\n<p><\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253e6e-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253e6e-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253e6e-collapse\"><a>Kuidas k\u00f5rvaldada aegreast juhuslik komponent?<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253e6e-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253e6e-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<p>Trendi mudeli leidmist v\u00f5ib oluliselt raskendada see, kui aegrea juhuslik komponent tuleb tugevalt esile ja aegrida on h\u00fcplik. Meenutage n\u00e4iteks 1950.\u20131990. aastate kasvutempo aegrida (joonis 5). Seep\u00e4rast v\u00f5iks k\u00f5ne alla tulla trendi leidmine ka alles p\u00e4rast juhusliku osa eemaldamist aegreast. Aegrea juhusliku osa matemaatiline k\u00fclg (statistiline jaotus jm) j\u00e4\u00e4b siinkohal k\u00f5rvale ja kirjeldame allpool v\u00f5imalusi juhusliku osa anal\u00fc\u00fcsiks aegrea silumise ehk tasandamise teel (ik <em>smoothing<\/em>). Silutud aegreas on kergem m\u00e4rgata trendi ja on ilmekas esile tuua muidki aegrea omadusi (kasvutempo, juurdekasvud). Silumise j\u00e4rel v\u00f5iks silutud aegrida trendi mudeli saamiseks l\u00e4hendada m\u00f5ne k\u00f5veraga ja \u00fcldse edasi anal\u00fc\u00fcsida nagu mis tahes teist aegrida. Silumine t\u00e4hendab uue, v\u00e4hem variatiivse juhusliku komponendiga aegrea moodustamist. Silumismeetodeid on mitmeid ja siinkohal tutvustame neist kaht: libiseva keskmise (v\u00f5i libiseva mediaaniga) silumist ja aegrea eelnevatele olekutele toetuvat eksponentsiaalset silumist. Libiseva keskmise meetodil on praktikas mitmeid variatsioone, sh kaalutud keskmist kasutades. Tutvustame sagedasimat varianti, mida teades ei ole ka v\u00f5imalikke modifikatsioone raske m\u00f5ista.<\/p>\n\n\n\n<p><em>Silumine tsentreeritud libiseva keskmise meetodil (<\/em>ik<em> central moving average method)<\/em>. Igas aegrea punktis (v\u00e4lja arvatud teatav arv esimesi ja viimaseid) leitakse meie poolt ette antud arvu naaberpunktide ja aegrea antud liikme keskmine. See v\u00e4\u00e4rtus v\u00f5etakse silutud aegreas vaadeldavas punktis silutud aegrea v\u00e4\u00e4rtuseks. V\u00e4ljavalitud ajal\u00f5iku nimetatakse ka aknaks ja selles olevate punktide arvu akna laiuseks (silumise sammuks). Aken libistatakse silumiseks liikmelt liikmele \u00fcle terve aegrea. Mida laiema aknaga siluda (st mida suurem arv naaberpunkte kaasata), seda siledam tuleb uus aegrida. Libisevat keskmist rakendatakse ka kaalutud keskmise vormis. Protseduur on lihtne siis, kui akna laius on paaritu arv ja \u201esilutav\u201c aegrea liige asub akna keskel. N\u00e4iteks aknaga 3 libiseva keskmise meetodil silumisel on silutav (\u00fclemine) ja silutud aegrida (alumine) j\u00e4rgmised (m\u00f5ned sammuga 3 moodustatud akna asendid on toonitud):<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"70\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/1-1-1024x70.jpg\" alt=\"\" class=\"wp-image-2063\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/1-1-1024x70.jpg 1024w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/1-1-300x20.jpg 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/1-1-768x52.jpg 768w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/1-1.jpg 1336w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<p>Esialgse aegrea suurim ja v\u00e4him v\u00e4\u00e4rtus olid vastavalt 5 ja 1 (haare 4) ning silutud reas 4 ja 7\/3=2,3 (haare 1.3), st h\u00fcplikkus tasandus. Paarituarvulise sammuga <em>k<\/em> siludes \u201el\u00fcheneb\u201c aegrida kummastki otsast (<em>k<\/em>-1)\/2 liikme v\u00f5rra (asendatakse andmel\u00fcngaga).<\/p>\n\n\n\n<p>Esialgse aegrea suurim ja v\u00e4him v\u00e4\u00e4rtus olid vastavalt 5 ja 1 (haare 4) ning silutud reas 4 ja 7\/3=2,3 (haare 1.3), st h\u00fcplikkus tasandus. Paarituarvulise sammuga <em>k<\/em> siludes \u201el\u00fcheneb\u201c aegrida kummastki otsast (<em>k<\/em>-1)\/2 liikme v\u00f5rra (asendatakse andmel\u00fcngaga).<\/p>\n\n\n\n<p>Paarisarvulise laiusega <em>k<\/em> akna puhul ei ole \u00fcheselt selge, millisele liikmele aknas olevate liikmete keskmine omistada, see koht asub kahe liikme vahel. Kirjeldame n\u00e4ite abil protseduuri, kus sellisel juhul silutakse aegrida kaks korda: esmalt koostatakse aegrida, kus paarisarvulise laiusega <em>k<\/em> akna liikmete keskmine omistatakse akna keskmesse j\u00e4\u00e4vate liikmete vahel olevale fiktiivsele liikmele, ja seej\u00e4rel silutakse seda rida akna laiusega 2 (st leitakse naaberliikmete keskmine). N\u00e4iteks aknaga 4 libiseva keskmise meetodil silumisel on silutav ja silutud aegrida j\u00e4rgmised:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"119\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/2-1024x119.jpg\" alt=\"\" class=\"wp-image-2065\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/2-1024x119.jpg 1024w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/2-300x35.jpg 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/2-768x89.jpg 768w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/2.jpg 1436w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<p>Saadud aegreas on m\u00e4rgatavalt v\u00e4iksem h\u00fcplikkus v\u00f5rreldes nii esialgse kui ka sammuga 3 silutud aegreaga. Paarisarvulise sammuga <em>k<\/em> siludes arvestatakse aegrea kummaski otsas <em>k<\/em>\/2 aegrea liiget andmel\u00fcngaks.<\/p>\n\n\n\n<p><em>Silumine eelnevate olekute libiseva keskmise meetodil (<\/em>ik<em> prior moving average method)<\/em>. Igas aegrea punktis (v\u00e4lja arvatud teatav arv esimesi) leitakse meie poolt ette antud arvu liikmete keskmine ja see arvestatakse silutud aegrea v\u00e4\u00e4rtuseks antud ajamomendil. Nii siludes r\u00f5hutatakse aegrea j\u00e4rjepidevust. N\u00e4iteks aknaga 3 eelnevate olekute libiseva keskmise meetodil silumisel on silutav ja silutud aegrida j\u00e4rgmised:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"71\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/3-1024x71.jpg\" alt=\"\" class=\"wp-image-2067\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/3-1024x71.jpg 1024w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/3-300x21.jpg 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/3-768x53.jpg 768w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/3.jpg 1336w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<p>Aegrea esimesed <em>k<\/em> liiget arvestatakse andmel\u00fcngaks.<\/p>\n\n\n\n<p><em>Silumine libiseva mediaani meetodil<\/em> <em>(<\/em>ik<em> moving median method)<\/em>. Meetod on sarnane tsentraalsele libiseva keskmise meetodile, kuid keskmise asemel leitakse mediaan. Paarisarvulise laiusega akna korral v\u00f5ib kasutusel olla erinevaid mediaani leidmise viise. N\u00e4iteks aknaga 3 libiseva mediaani meetodil silumisel on silutav ja silutud aegrida j\u00e4rgmised:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"70\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/4-1024x70.jpg\" alt=\"\" class=\"wp-image-2069\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/4-1024x70.jpg 1024w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/4-300x20.jpg 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/4-768x52.jpg 768w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/4.jpg 1337w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<p>Libiseva mediaani meetodit sobib rakendada libiseva keskmise meetodi asemel siis, kui aegrida on tugevalt h\u00fcplik. <em>Eksponentsilumine (exponential smoothing). <\/em>Eksponentsilumise korral asendatakse aegrea liige <em>x<sub>t<\/sub><\/em>uue v\u00e4\u00e4rtusega <em>y<sub>t<\/sub><\/em>, milles on arvestatud kaaluga <em>a<\/em> praegust liiget ja kaaluga 1 \u2013 <em>a<\/em> eelmist juba silutud liiget:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"148\" height=\"19\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-4.png\" alt=\"\" class=\"wp-image-1903\"><\/figure>\n\n\n\n<p><em>t<\/em> = 1, 2, \u2026, <em>n<\/em>, kus 0 &lt; <em>a <\/em>&lt; 1 ja <em>y<\/em><sub>0<\/sub> = <em>x<\/em><sub>1<\/sub>. Mida v\u00e4iksem on silumiskordaja <em>a<\/em>, seda siledam tuleb aegrida, sest aegrea esialgne v\u00e4\u00e4rtus omandab silutud v\u00e4\u00e4rtuses v\u00e4ikese kaalu ja eelmise ajamomendi juba silutud v\u00e4\u00e4rtus suurema. Suurust 1 \u2013 <em>a<\/em> nimetatakse ka sumbumisteguriks, sest see m\u00e4\u00e4rab, kuiv\u00f5rd tasandub aegrea h\u00fcplik k\u00e4ik. Kui silumiskordaja on nullil\u00e4hedane, siis on silutud aegrea liikmed ligikaudu v\u00f5rdsed esialgse aegrea esimese liikmega. Kui silumiskordaja on arvu 1 l\u00e4hedal, siis langeb silutud aegrida ligikaudu kokku esialgsega. H\u00fcpliku rea puhul on kasulik valida v\u00e4iksem ja suhteliselt tasase rea puhul suurem silumiskordaja.<\/p>\n\n\n\n<p>Eksponentsilumisel arvestatakse iga liikme leidmisel j\u00e4rjest eelmisi ja l\u00f5ppkokkuv\u00f5ttes osutub silutud v\u00e4\u00e4rtus eelnevate liikmete kaalutud summaks (vt nt Sauga 2017, lk 567, v\u00f5i ka Vikipeedia artikkel <em>Exponential smoothing<\/em>). Kaalud moodustavad sumbumiskordaja geomeetrilise progressiooni, millest tulebki meetodi nimi. Mida kaugem on aegrea liige silutavast liikmest, seda k\u00f5rgemas astmes olev sumbumiskordaja on kaaluks, st seda v\u00e4iksem m\u00f5ju silutud v\u00e4\u00e4rtuse arvutamisel antud silumiskordaja korral (silumiskordaja on v\u00e4iksem kui 1).<\/p>\n\n\n\n<p>Eelnevalt kasutatud n\u00e4ite aegrida ja eksponentsilumisel saadav aegrida on silumiskordajate 0,4 (allpool teine rida) ja 0,8 (allpool kolmas rida) korral j\u00e4rgmised (sumbumiskordajad vastavalt 0,6 ja 0,2):<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"102\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/5-1024x102.jpg\" alt=\"\" class=\"wp-image-2072\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/5-1024x102.jpg 1024w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/5-300x30.jpg 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/5-768x77.jpg 768w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/5.jpg 1339w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<p>Selle silumisviisi korral aegrida silumisega ei \u201el\u00fchene\u201c.<\/p>\n\n\n\n<p><span style=\"line-height: normal;\"><i>Kombineeritud silumismeetodid: <\/i>loominguline erinevate meetodite j\u00e4rjestikune kasutus, mil silutud reale rakendatakse m\u00f5nd silumismeetodit uuesti. \u00dcks sellekohane n\u00e4ide on paketi SPSS silumisprotseduur T4253H libiseva mediaani jm meetodite korduva rakendamise teel. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Tabelis 6 on esile toodud siinvaadeldud n\u00e4ite erinevate silumistulemuste kokkuv\u00f5te. Mida laiema aknaga libiseva keskmise meetodil siluda, seda l\u00fchemaks l\u00e4heb silutud aegrida, kuid \u00fchtlasi ka seda enam siledaks. Aknaga 4 silutud aegrea standardh\u00e4lve on poole v\u00e4iksem kui aknaga 3 silumise korral ja ka haare on v\u00e4iksem. \u00dclej\u00e4\u00e4nud aegridade puhul on standardh\u00e4lve 0,5\u20130,6 ringis, seega mitu korda v\u00e4iksem kui esialgses aegreas. Keskmine on vahemikus 3,0\u20133,2. Eksponentsilumisel on saavutatud suurema sumbumisfaktoriga siledam rida (v\u00e4iksem standardh\u00e4lve). Haare peegeldab h\u00fcplikkuse ulatust ja see on v\u00e4him sammu 4 korral ning suurim v\u00e4ikese sumbumisfaktoriga eksponentsilumisel. <\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">Tabel 6. Erinevate silumisviiside n\u00e4ite kokkuv\u00f5te<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"747\" height=\"350\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.43.46.png\" alt=\"Tabel 6. Erinevate silumisviiside n\u00e4ite kokkuv\u00f5te\" class=\"wp-image-264\" title=\"Tabel 6. Erinevate silumisviiside n\u00e4ite kokkuv\u00f5te\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.43.46.png 747w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.43.46-300x141.png 300w\" sizes=\"auto, (max-width: 747px) 100vw, 747px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Paketi SPSS abil on v\u00f5imalik rakendada k\u00f5iki siinkirjeldatud silumisviise, v\u00e4lja arvatud eksponentsilumine (vt tekstikasti \u201eAegridade silumine paketi SPSS abil\u201c). MS Office Excel v\u00f5imaldab nii libiseva keskmise meetodil kui ka eksponentmeetodil silumist (men\u00fc\u00fcst <i>Data \u2013 Data Analysis<\/i> ja sealt valida moodulid <i>Exponential Smoothing<\/i> ja <i>Moving Average<\/i>).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">P\u00f6\u00f6rdume tagasi rahvastikuarvu kasvu n\u00e4ite juurde. Joonisel 7 on n\u00e4idatud 1950.\u20131990. aastate rahvaarvu kasvutempo (ahelindeksi) esialgne ja libiseva keskmise meetodil silutud aegrida (silumisakna laius 5). N\u00e4eme langevat trendi ja seejuures terve perioodi v\u00e4ltel. Rahvastikukasv aeglustus. <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"765\" height=\"469\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.44.27.png\" alt=\"Joonis 7. Libiseva keskmise meetodil silutud rahvaarvu kasvutempo 1950.\u20131990. aastatel\" class=\"wp-image-265\" title=\"Joonis 7. Libiseva keskmise meetodil silutud rahvaarvu kasvutempo 1950.\u20131990. aastatel\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.44.27.png 765w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.44.27-300x184.png 300w\" sizes=\"auto, (max-width: 765px) 100vw, 765px\"><figcaption class=\"wp-element-caption\">Joonis 7. Libiseva keskmise meetodil silutud rahvaarvu kasvutempo 1950.\u20131990. aastatel<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Joonisel 8 on kujutatud sama aegrea silumine eksponentmeetodil kolme eri sumbumiskordaja korral. Suurem sumbumiskordaja annab siledama aegrea, mis algusaastate suure kasvutempo t\u00f5ttu lahkneb aegrea alguses \u00fcsnagi esialgsest aegreast. Siin oleks v\u00f5inud esimest k\u00fcmmet aastat k\u00e4sitleda eraldi. V\u00e4ike sumbumiskordaja aegrida suurt ei muuda. V\u00f5rdne osakaal \u2013 pool aegrea liikmest ja pool eelmisest silutud liikmest \u2013 tasandab suuremad h\u00fcpped, kuid j\u00e4rgib \u00fcsna hoolega aegrea k\u00e4iku. <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"789\" height=\"407\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.45.18.png\" alt=\"Joonis 8. Eksponentmeetodil silutud rahvaarvu kasvutempo 1950.\u20131990. aastatel eri sumbumiskordajate kasutamisel\" class=\"wp-image-266\" title=\"Joonis 8. Eksponentmeetodil silutud rahvaarvu kasvutempo 1950.\u20131990. aastatel eri sumbumiskordajate kasutamisel\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.45.18.png 789w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.45.18-300x155.png 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.45.18-768x396.png 768w\" sizes=\"auto, (max-width: 789px) 100vw, 789px\"><figcaption class=\"wp-element-caption\">Joonis 8. Eksponentmeetodil silutud rahvaarvu kasvutempo 1950.\u20131990. aastatel eri sumbumiskordajate kasutamisel<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Kuidas prognoosida aegrea edasist kulgu silutud aegrea abil? V\u00f5iks kasutada viimase ajamomendi silutud v\u00e4\u00e4rtust. Aegrea k\u00e4\u00e4nupunktides ei tule ennustus t\u00e4pne, aga v\u00e4hese p\u00fcsiva languse v\u00f5i t\u00f5usu puhul ei oleks vahel v\u00e4ga vigagi.<\/span><\/p>\n\n\n\n<a href=\"#\" data-bs-toggle=\"modal\" data-bs-target=\"#popup-modal\" data-title=\"Aegridade silumine paketi SPSS abil\" data-content='&lt;\/p&gt;\n\n\n\n&lt;p&gt;Osutame v\u00f5imalustele silutud aegrea saamiseks aegrea teisendamise teel.&lt;\/p&gt;\n\n\n\n&lt;p&gt;Andmestikku lisatakse silutud aegrida, mille arvutamist saab juhtida aegridade teisendamise k\u00e4suga, mille m\u00f5ningaid v\u00f5imalusi tutvustasime eespool tekstikastis \u201eAegridade tuletamine antud aegreast paketi SPSS abil\u201cja teise, siin asjakohase osaga j\u00e4tkame allpool.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Transform \u2013 Create time series&lt;\/em&gt; \u2013 kanda tunnus(ed), milles on silutav(ad) aegrida (aegread), v\u00e4ljale &lt;em&gt;Variable&lt;\/em&gt;\u2192&lt;em&gt;New Name&lt;\/em&gt;.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Variable&lt;\/em&gt;\u2192&lt;em&gt;New Name&lt;\/em&gt; \u2013 sellel v\u00e4ljal osutada uue aegrea nimi; pakutakse vaikimisi nime, mida saab ise muuta aknas &lt;em&gt;Name and Function&lt;\/em&gt;; nime j\u00e4rel osutatakse, mis laadi teisenduse abil moodustatakse uus aegrida; ka teisendust saab ise valida aknas &lt;em&gt;Name and Function&lt;\/em&gt;.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Name and Function &lt;\/em&gt;\u2013 uue aegrea defineerimine:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Name &lt;\/em&gt;\u2013 kl\u00f5psata aknas &lt;em&gt;Variable&lt;\/em&gt;\u2192&lt;em&gt;New Name &lt;\/em&gt;vajalik rida aktiivseks ja kirjutada uue aegrea nimi tunnuse l\u00fchinime reeglite j\u00e4rgi, kui vaikimisi pakutu ei sobi;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Function&lt;\/em&gt; \u2013 valida teisendus, kui vaikimisi pakutu ei sobi; nime ja funktsiooni valiku l\u00f5petamisel kinnitada need k\u00e4suga &lt;em&gt;Change&lt;\/em&gt;.&lt;\/p&gt;\n\n\n\n&lt;p&gt;Funktsioonid on j\u00e4rgmised.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Centered Moving average &lt;\/em&gt;(tsentraalne libiseva keskmise meetod) \u2013 moodustatakse esialgse aegrea liikmete libiseva keskmise meetodil silutud aegrida; silumisakna laius m\u00e4\u00e4ratakse t\u00e4isarvuga v\u00e4ljal &lt;em&gt;Span&lt;\/em&gt; ja silutud v\u00e4\u00e4rtus omistatakse akna keskel olevale liikmele, kui akna laius on paaritu arv; kui akna laius on paarisarv, siis saadakse silutud v\u00e4\u00e4rtused etteantud akna laiusele vastavate keskmiste aegrea teistkordsel silumisel akna laiusega 2; aegrida l\u00fcheneb algusest ja l\u00f5pust akna paarisarvulise laiuse &lt;em&gt;k&lt;\/em&gt; korral &lt;em&gt;k&lt;\/em&gt;\/2 liikme v\u00f5rra ja paarituarvulise laiuse &lt;em&gt;k&lt;\/em&gt; korral (&lt;em&gt;k-&lt;\/em&gt;1)\/2 v\u00f5rra (st tekib nii suur kogus andmel\u00fcnki).&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Prior Moving Average &lt;\/em&gt;(eelnevate olekute libiseva keskmise meetod) \u2013 moodustatakse esialgse aegrea liikmete libiseva keskmise meetodil silutud aegrida; silumisakna laius m\u00e4\u00e4ratakse v\u00e4ljal &lt;em&gt;Span&lt;\/em&gt; ja silutud v\u00e4\u00e4rtus omistatakse akna j\u00e4rel olevale liikmele; aegrea alguses tekib silumisakna laiusega v\u00f5rdne arv andmel\u00fcnki.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Running Medians &lt;\/em&gt;(libiseva mediaani meetod) \u2013 sama teisendus, nagu tsentreeritud libiseva keskmise meetodil, aga keskmise asemel arvutatakse silutud v\u00e4\u00e4rtuseks aknasse j\u00e4\u00e4vate liikmete kaudu mediaan.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Smoothing &lt;\/em&gt;(silumine) &lt;em&gt;\u2013 &lt;\/em&gt;moodustatakse kompleksse silumisprotseduuriga silutud aegrida, rakendades j\u00e4rjest mitmekordselt libiseva mediaani meetodit akna laiustega 4, 2, 5 ja 3 ning siludes teataval v\u00e4himruutude meetodil; tulemust parandatakse sama protseduuri rakendamise kaudu j\u00e4\u00e4kidele, mis tekivad esialgse ja silutud aegrea liikmeti lahutamisel. Eksponentsilumist on v\u00f5imalik korraldada mooduli &lt;em&gt;Time Series Modeler&lt;\/em&gt; abil. (Vt nt &lt;a href=\"https:\/\/www.ibm.com\/support\/knowledgecenter\/SSLVMB_sub\/statistics_mainhelp_ddita\/spss\/trends\/idh_idd_tab_vars.html\"&gt;IBM Knowledge Center&lt;\/a&gt;.)&lt;\/p&gt;\n\n\n\n&lt;p&gt;'>Aegridade silumine paketi SPSS abil<\/a>\n\n\n\n<p><\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253e89-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253e89-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253e89-collapse\"><a>Sesoonsuse (perioodilisuse) uurimine aegreas<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253e89-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253e89-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<p><span style=\"line-height: normal;\">Vaatleme l\u00f5puks aegrea perioodilise komponendi anal\u00fc\u00fcsiv\u00f5imalusi. Kui aegrea k\u00e4ik kordub teatud perioodiga, siis on v\u00f5imalik anal\u00fc\u00fcsi \u00fcles ehitada mitmel viisil, kasutades trendi eemaldamise ja aegrea silumise ning perioodilisuse eemaldamise protseduure erinevas j\u00e4rjekorras. \u00dcks v\u00f5imalus oleks selgitada v\u00e4lja trend ja edasi anal\u00fc\u00fcsida trendivaba rida, millest eemaldada veel ka sesoonsus. Kui j\u00e4rele j\u00e4\u00e4b juhuslik komponent, mille trendijooneks on nulltase, siis olemegi aegrea osad identifitseerinud. Ts\u00fcklilisuse uurimise jaoks (suured ebakorrap\u00e4rased perioodid) l\u00e4heb tavaliselt aegreale lisaks vaja kontekstuaalset teavet keskkonna kohta, milles aegrida m\u00f5\u00f5deti (nt s\u00fcsteemi sotsiaalne taust). <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Joonisel 9 on kujutatud ilmset sesoonsust peegeldav aegrida, milles perioodilisus peitub m\u00f5\u00f5detud suuruse olemuses. Majutusasutuste tegevus on Eestis klimaatiliselt sesoonne ja jooniselt peegeldub majutusteenuse selge perioodiline kulg aastase perioodiga. M\u00fc\u00fcgi tipp on kolmas kvartal ja p\u00f5hi esimene kvartal. Lisaks on joonisele kantud aegrea komplekssel silumisel saadud trendijoon, mis viitab lineaarse trendi k\u00fcllalt heale sobivusele selle aegrea kirjeldamisel (suurem v\u00e4ljal\u00f6\u00f6k sellest 2009\u20132010. aastate paiku ja 2013\u20132014. aastate paiku).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Kui kas protsessi sisu v\u00f5i n\u00e4iteks aegrea joonise alusel on p\u00f5hjust oletada sesoonsust, siis t\u00e4hendab see seda, et teatud sammuga peaksid aegrea liikmed olema korreleeritud, st perioodi piires sama ajalise paigutusega liikmed peaksid olema positiivselt korreleeritud. See m\u00f5te on realiseeritud aegrea autokorrelatsioonifunktsiooni (ik <i>autocorrelation function<\/i>, ACF) kaudu, mil aegrida korreleeritakse sama aegrea nihutatud variandiga \u00fche, kahe, kolme jne ajamomendi v\u00f5rra. Ajanihet nimetatakse viitajaks (ik <i>lag<\/i> ja <i>lead<\/i>, vastavalt sellele, kas aegrida nihutatakse hilisemaks v\u00f5i varasemaks). Kui perioodi vastavad \u201esakid\u201c sattuvad nihutades kohakuti (see juhtub iga perioodi pikkusega v\u00f5rduva viitaja korral), siis peaks korrelatsioon tulema tugevam kui \u00fclej\u00e4\u00e4nud juhtudel. Autokorrelatsioonifunktsiooni suuremad v\u00e4\u00e4rtused viitavad perioodi pikkusele. <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"685\" height=\"460\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.46.41.png\" alt=\"Joonis 9. Majutusteenuse m\u00fc\u00fck kvartalite kaupa 2001\u20132017. aastatel Eestis (miljonit eurot). Allikas: Eesti statistika andmebaas, tabel TU121, 28.12.2017; sama allikas allpool\" class=\"wp-image-267\" title=\"Joonis 9. Majutusteenuse m\u00fc\u00fck kvartalite kaupa 2001\u20132017. aastatel Eestis (miljonit eurot). Allikas: Eesti statistika andmebaas, tabel TU121, 28.12.2017; sama allikas allpool\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.46.41.png 685w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.46.41-300x201.png 300w\" sizes=\"auto, (max-width: 685px) 100vw, 685px\"><figcaption class=\"wp-element-caption\">Joonis 9. Majutusteenuse m\u00fc\u00fck kvartalite kaupa 2001\u20132017. aastatel Eestis (miljonit eurot). Allikas: Eesti statistika andmebaas, tabel TU121, 28.12.2017; sama allikas allpool<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Mida t\u00e4hendab viitajaga nihutamine? Selgitame seda j\u00e4rgneva skeemiga kvartalite nihutamise kohta kuni viitajaga 5. Negatiivse viitaja korral nihutatakse aegrida vastupidises suunas, varasemaks. Viitajaga 1 liigub esimene kvartal kohakuti sama aasta teise kvartaliga, viitajaga 2 kolmanda kvartaliga, viitajaga 3 neljanda kvartaliga ja viitajaga 4 j\u00e4rgmise aasta esimese kvartaliga. <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"765\" height=\"151\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.47.23.png\" alt=\"ko\" class=\"wp-image-268\" title=\"screen_shot_2020-03-17_at_16.47.23.png\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.47.23.png 765w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.47.23-300x59.png 300w\" sizes=\"auto, (max-width: 765px) 100vw, 765px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">Autokorrelatsioon on aegrea korrelatsioon iseendaga ja k\u00f5neleb sellest, kuiv\u00f5rd aegrida \u201cm\u00e4letab\u201d eelnevaid olekuid, st kui pikalt aja kulgedes oleneb aegrea v\u00e4\u00e4rtus sellest, mis oli varem. Viitaja maksimumi valik on enda teha ja seda valides v\u00f5iks kaaluda protsessi sisu arvestades, kui pikk v\u00f5iks olla see \u201em\u00e4lu\u201c. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Autokorrelatsioonifunktsiooni arvutuseeskiri on analoogiline \u00fcldtuntud korrelatsioonikordaja eeskirjale: viitaja <i>k<\/i>,<i> k<\/i> =1, 2, \u2026 korral <\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"417\" height=\"42\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-17.png\" alt=\"\" class=\"wp-image-2080\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-17.png 417w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/image-17-300x30.png 300w\" sizes=\"auto, (max-width: 417px) 100vw, 417px\"><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">kus <i>m<\/i> on aegrea keskmine ja <i>s<\/i> standardh\u00e4lve. Kui aegreas esineb trend, v\u00f5iks selle autokorrelatsiooni sisuka t\u00f5lgenduse saamiseks aegreast eelnevalt eemaldada (st vaadelda j\u00e4\u00e4kaegrida, kui igast liikmest lahutada trendikohane v\u00e4\u00e4rtus). Aegrea autokorrelatsioonide diagrammi kohta kasutatakse ka m\u00f5istet korrelogramm.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Siinkohal on sobiv juhus nimetada aegridade esmasanal\u00fc\u00fcsis m\u00f5nikord kasulikku teist korrelatsioonanal\u00fc\u00fcsi rakendust, nimelt kahe (v\u00f5i ka enama) eri aegrea vahelist korrelatsioonseost, mille iseloomustamiseks arvutatakse viitaja suhtes ristkorrelatsioonifunktsiooni v\u00e4\u00e4rtused (ik <i>cross correlation function<\/i>, CCF). Kahe aegrea vaheline (rist)korrelatsioon on samuti \u201ctavalise\u201d korrelatsioonikordaja analoog. Aegridade ristkorrelatsioon v\u00f5ib kergesti osutuda pseudokorrelatsiooniks, mist\u00f5ttu kasutada seda ettevaatlikult (vt nt Dean ja Dunsmuir 2016).<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"711\" height=\"458\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.48.32.png\" alt=\"Joonis 10. M\u00fc\u00fcgimahu ja m\u00fc\u00fcgimahu vahede (juurdekasvude) autokorrelatsioonifunktsioon, k = 16\" class=\"wp-image-270\" title=\"Joonis 10. M\u00fc\u00fcgimahu ja m\u00fc\u00fcgimahu vahede (juurdekasvude) autokorrelatsioonifunktsioon, k = 16\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.48.32.png 711w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.48.32-300x193.png 300w\" sizes=\"auto, (max-width: 711px) 100vw, 711px\"><\/figure>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"730\" height=\"424\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.49.19.png\" alt=\"Joonis 10. M\u00fc\u00fcgimahu ja m\u00fc\u00fcgimahu vahede (juurdekasvude) autokorrelatsioonifunktsioon, k = 16\" class=\"wp-image-271\" title=\"Joonis 10. M\u00fc\u00fcgimahu ja m\u00fc\u00fcgimahu vahede (juurdekasvude) autokorrelatsioonifunktsioon, k = 16\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.49.19.png 730w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.49.19-300x174.png 300w\" sizes=\"auto, (max-width: 730px) 100vw, 730px\"><figcaption class=\"wp-element-caption\">Joonis 10. M\u00fc\u00fcgimahu ja m\u00fc\u00fcgimahu vahede (juurdekasvude) autokorrelatsioonifunktsioon, <em>k <\/em>= 16<\/figcaption><\/figure>\n\n\n\n<p><span style=\"line-height: normal;\">J\u00e4tkame m\u00fc\u00fcgimahu n\u00e4idet ja toome esile m\u00fc\u00fcgimahu autokorrelatsioonifunktsiooni v\u00e4\u00e4rtused viitaja maksimumi 16 korral, kasutades paketi SPSS tulemusi. Joonisel 10 on esitatud korrelogramm kuni viitajaga 16 ja sellel n\u00e4eme selgelt tugevamaid korrelatsioonikordajaid viitaja muutudes perioodiga 4 kvartalit. Autokorrelatsioon tuhmub nelja perioodi (aasta) jooksul tunduvalt: v\u00e4\u00e4rtusest 0,8 v\u00e4\u00e4rtuseks alla 0,4. Kasvava trendi t\u00f5ttu (joonis 9) on ka perioodi seisukohalt kohakuti mittesattunud kvartalite m\u00fc\u00fcgimahtude vahel statistilisi seoseid ja selgema pildi huvides arvutame autokorrelatsioonifunktsiooni veel ka m\u00fc\u00fcgimahtude aegreas, kui sellest on eemaldatud lineaarne trend, st leitud vahede rida, absoluutsed juurdekasvud. Joonis 10, kus paikneb vastav korrelogramm (alumine), n\u00e4itab perioodilisust ilmekamalt. \u201eOtse vastupidiste\u201c kvartalite 1 ja 3 juurdekasvud on kohakuti sattudes tugevalt negatiivselt korreleeritud.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Niisiis on nii sisuliselt kui ka statistiliselt t\u00f5endatud, et vaadeldavas aegreas esineb aastapikkune sesoonsus. Et ligikaudu sobib ka lineaarne trend, siis k\u00f5rvaldame n\u00fc\u00fcd selle sesoonsete vahede aegrea moodustamise teel ja seej\u00e4rel peaksime tulemuseks saama ainult juhuslikku komponenti sisaldava aegrea. \u00dcks asjaolu j\u00e4\u00e4b seejuures siiski arvestamata, nimelt see, et perioodilisuse amplituud aja jooksul ei ole p\u00fcsiv, vaid pigem kasvab, ja see peaks peegelduma j\u00e4\u00e4krea l\u00f5pu suuremas dispersioonis v\u00f5rreldes algusega. Joonisel 11 on kujutatud esialgne aegrida, sesoonsete vahede rida ja sesoonsete vahede rida kompleksselt silutud kujul. Sesoonsete vahede reas on raske mingit suundumust m\u00e4rgata (anal\u00fc\u00fcs n\u00e4itas, et eri liiki trendijoonte sobitamine annab ainult paariprotsendilise kirjeldusastme). Seega v\u00f5iks meie l\u00f5ppj\u00e4reldus olla: m\u00fc\u00fcgimahud on sesoonselt lineaarse trendiga. Prognoos j\u00e4rgnevaks aastaks tuleks seejuures teha kvartalite kaupa. Sellise l\u00e4henduse viga on perioodi l\u00f5puaastail pisut suurem kui alguses.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"776\" height=\"468\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.49.56.png\" alt=\"Joonis 11. M\u00fc\u00fcgimahu, sesoonsete vahede ja silutud sesoonsete vahede aegread\" class=\"wp-image-272\" title=\"Joonis 11. M\u00fc\u00fcgimahu, sesoonsete vahede ja silutud sesoonsete vahede aegread\" srcset=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.49.56.png 776w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.49.56-300x181.png 300w, https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/110\/screen_shot_2020-03-17_at_16.49.56-768x463.png 768w\" sizes=\"auto, (max-width: 776px) 100vw, 776px\"><figcaption class=\"wp-element-caption\">Joonis 11. M\u00fc\u00fcgimahu, sesoonsete vahede ja silutud sesoonsete vahede aegread<\/figcaption><\/figure>\n\n\n\n<a href=\"#\" data-bs-toggle=\"modal\" data-bs-target=\"#popup-modal\" data-title=\"Korrelatsioonarvutus aegridadega paketi SPSS abil\" data-content=\"&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;strong&gt;Autokorrelatsioonifunktsiooni arvutamine&lt;\/strong&gt;&lt;\/p&gt;\n\n\n\n&lt;p&gt;K\u00e4surida &lt;em&gt;Analyze \u2013 Forecasting \u2013 Autocorrelations&lt;\/em&gt; avab akna, milles teha valikud:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Variables&lt;\/em&gt; \u2013 kanda aegread, mille autokorrelatsioonifunktsioone uurida.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Transform&lt;\/em&gt; \u2013 selle sildi all saab aegrida enne autokorrelatsioonide arvutamist vajadusel teisendada: logaritmida, leida j\u00e4rjestikused vahed v\u00f5i sesoonsed j\u00e4rjestikused vahed (kui on defineeritud sesoonsus, vt n\u00e4pun\u00e4ide tekstikasti l\u00f5pus).&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Display&lt;\/em&gt; \u2013 valik &lt;em&gt;Autocorrelatsions&lt;\/em&gt; toob esile autokorrelatsioonifunktsiooni v\u00e4\u00e4rtused; valik &lt;em&gt;Partial Autocorrelations&lt;\/em&gt; toob esile osaautokorrelatsoonid, mis on olulisel kohal aegridade mudelite juures (nt Boxi-Jenkinsi teoorias).&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Options&lt;\/em&gt; \u2013 valida autokorrelatsiooni esiletoomise tingimused:&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Maximum Number of Lags &lt;\/em&gt;\u2013 m\u00e4\u00e4rata suurim viitaeg, st n\u00e4idata maksimaalselt mitme nihutatud aegreaga korreleerida esialgset aegrida;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Standard Error Method&lt;\/em&gt; \u2013 vaikimisi s\u00f5ltumatuse mudel (alusprotsess on nn valge m\u00fcra, s\u00f5ltumatute komponentidega protsess); v\u00f5ib valida Bartletti l\u00e4henduse, mis seda ei eelda;&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;em&gt;Display autocorrelations at periodic lags&lt;\/em&gt; \u2013 soovi korral v\u00f5ib esile tuua ainult perioodi pikkusele vastava viitajaga autokorrelatsioonikordajad.&lt;\/p&gt;\n\n\n\n&lt;p&gt;Tulemustes esitatakse autokorrelatsioonifunktsiooni graafik, autokorrelatsioonikordajate numbrilised v\u00e4\u00e4rtused ja testitakse Boxi-Ljungi testi abil h\u00fcpoteesi nende v\u00f5rdumisest nulliga.&lt;\/p&gt;\n\n\n\n&lt;p&gt;&lt;strong&gt;Aegridade vaheliste korrelatsioonikordajate arvutamine&lt;\/strong&gt;&lt;\/p&gt;\n\n\n\n&lt;p&gt;K\u00e4surida &lt;em&gt;Analyze \u2013 Forecasting \u2013 Cross-Correlations&lt;\/em&gt; avab akna, milles teha valikud analoogiliselt autokorrelatsioonifunktsiooni arvutusele. Viitaja m\u00e4\u00e4ramisel nihutatakse aegridu teineteise suhtes. &lt;strong&gt;N\u00e4pun\u00e4ide sesoonsuse defineerimiseks&lt;\/strong&gt;. Kui andmete sesoonsuse uurimise vajadus on tekkinud, tuleks enne anal\u00fc\u00fcsi defineerida sesoonsust kajastav aja tunnus. Selleks valida &lt;em&gt;Data \u2013 Define date and time&lt;\/em&gt; ja m\u00e4\u00e4rata alal &lt;em&gt;Cases are&lt;\/em&gt;, mis on aja\u00fchik. Valik ulatub aastast tundide-minutite-sekunditeni, kaasa arvatud n\u00e4dalad. Alal &lt;em&gt;First Case is&lt;\/em&gt; tuleb m\u00e4\u00e4rata aegrea esimese liikme daatum (nt aasta). Perioodi pikkus m\u00e4\u00e4ratakse automaatselt (nt valikus &lt;em&gt;Weeks &lt;\/em&gt;\u2013&lt;em&gt; days&lt;\/em&gt; 7, &lt;em&gt;Years &lt;\/em&gt;\u2013&lt;em&gt; Quarters&lt;\/em&gt; 4).&lt;\/p&gt;\n\n\n\n&lt;p&gt;\">Korrelatsioonarvutus aegridadega paketi SPSS abil<\/a>\n\n\n\n<p><\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253e95-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253e95-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253e95-collapse\"><a>Kasutatud kirjandus<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253e95-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253e95-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<p><span style=\"line-height: normal;\">Bollwerk, B. (2001). <i>Aegridade anal\u00fc\u00fcs statistikapaketis SPSS.<\/i> Tallinn: TL\u00dc. (<a href=\"http:\/\/www.cs.tlu.ee\/~katrin\/wp\/wp-content\/uploads\/2013\/11\/algread.pdf\">http:\/\/www.cs.tlu.ee\/~katrin\/wp\/wp-content\/uploads\/2013\/11\/algread.pdf<\/a>; vaadatud 22.12.2019).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Curve Estimation Models. IBM Knowledge Center. (<a href=\"https:\/\/www.ibm.com\/support\/knowledgecenter\/SSLVMB_sub\/statistics_mainhelp_ddita\/spss\/base\/curve_estimation_models.html\">https:\/\/www.ibm.com\/support\/knowledgecenter\/SSLVMB_sub\/statistics_mainhelp_ddita\/spss\/base\/curve_estimation_models.html<\/a>; vaadatud 22.12.2019)<span style=\"text-decoration: none;\">.<\/span><\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Dean, R.T., Dunsmuir, W.T.M. (2016). Dangers and uses of cross-correlation in analyzing time series in perception, performance, movement, and neuroscience: The importance of constructing transfer function autoregressive models. <i>Behaviour Research<\/i> 48, 783\u2013802. <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Eesti sotsiaaluuring. (<a href=\"https:\/\/www.stat.ee\/eesti-sotsiaaluuring\">https:\/\/www.stat.ee\/eesti-sotsiaaluuring<\/a>; vaadatud 22.12.2019). <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Eesti Statistikaamet. Terminite s\u00f5nastik. (<a href=\"https:\/\/www.stat.ee\/76870#a\">https:\/\/www.stat.ee\/76870#a<\/a>; vaadatud 22.12.2019).<span lang=\"ET\" style=\"text-decoration: none;\">.<\/span><\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">e-Handbook of Statistical Methods, NIST\/SEMATECH. (<a href=\"http:\/\/www.itl.nist.gov\/div898\/handbook\/\">http:\/\/www.itl.nist.gov\/div898\/handbook\/<\/a>, <a href=\"https:\/\/www.itl.nist.gov\/div898\/handbook\/pmc\/section4\/pmc4.htm\">https:\/\/www.itl.nist.gov\/div898\/handbook\/pmc\/section4\/pmc4.htm<\/a>; vaadatud 30.12.2019).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">European Social Survey. <i>Data and Documentation.<\/i> (<a href=\"https:\/\/www.europeansocialsurvey.org\/data\/\">https:\/\/www.europeansocialsurvey.org\/data\/<\/a>; vaadatud 30.12.2019).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Harro, J., Kiive, E., Orav, P., Veidebaum, T. (toim). (2015). <i>Lapsest t\u00e4iskasvanuks, Eestis. ELIKTU 1998-2015.<\/i> Tartu: Eesti \u00dclikoolide Kirjastus.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Kangro, R. (2016). Aegridade anal\u00fc\u00fcs. \u00a0(<a href=\"https:\/\/courses.ms.ut.ee\/MTMS.01.023\/2016_fall\/uploads\/Main\/aegread.pdf\">https:\/\/courses.ms.ut.ee\/MTMS.01.023\/2016_fall\/uploads\/Main\/aegread.pdf<\/a>; vaadatud 22.12.2019)<span lang=\"ET\" style=\"text-decoration: none;\">. <\/span><\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Kenkmann, P., Saarniit, J. (toim). (1998). <i>Longituuduurimused: kogemusi ja tulemusi.<\/i> Tartu: Tartu \u00dclikooli Kirjastus.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Paas, T. (1995). <i>Sissejuhatus \u00f6konomeetriasse.<\/i> Tartu: Tartu \u00dclikooli Kirjastus.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Sauga, A. <i>Interaktiivsed demod statistikas ja \u00f6konomeetrias.<\/i> Wolfram-keskkond. (<a href=\"https:\/\/www.sauga.pri.ee\/cdf\/\">https:\/\/www.sauga.pri.ee\/cdf\/<\/a>; vaadatud 22.12.2019).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Sauga, A. (2017). Statistika \u00f5pik majanduseriala \u00fcli\u00f5pilastele. Tallinn: TT\u00dc Kirjastus. (<a href=\"https:\/\/www.digar.ee\/viewer\/et\/nlib-digar:312875\/273207\/page\/548\">https:\/\/www.digar.ee\/viewer\/et\/nlib-digar:312875\/273207\/page\/548<\/a>; vaadatud 22.12.2019).<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">STAT 510. Applied Time Series Analysis. The Pennsylvania State University. (<a href=\"https:\/\/onlinecourses.science.psu.edu\/stat510\/lesson\/1\">https:\/\/onlinecourses.science.psu.edu\/stat510\/lesson\/1<\/a>; vaadatud 22.12.2019). <\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Titma, M. (toim). (1999). <i>Kolmek\u00fcmneaastaste p\u00f5lvkonna sotsiaalne portree.<\/i> Tartu-Tallinn: Teaduste Akadeemia Kirjastus.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Titma, M. (toim). (2002). <i>30- ja 50-aastaste p\u00f5lvkonnad uue aastatuhande k\u00fcnnisel.<\/i> Tartu: Tartu \u00dclikooli Kirjastuse tr\u00fckikoda.<\/span><\/p>\n\n\n\n<p><span style=\"line-height: normal;\">Tooding, L.-M. (2015). <i>Andmete anal\u00fc\u00fcs ja t\u00f5lgendamine sotsiaalteadustes.<\/i> Tartu: Tartu \u00dclikooli Kirjastus, p 1.2.2\u20131.2.4. <\/span><\/p>\n\n\n\n<p>Tuma, N. B. (2004). Modeling change. Melissa Hardy ja Alan Bryman (toim.), <i>Handbook of data analysis, (lk 309\u2013330).<\/i>\u00a0 London: Sage Publications.<\/p>\n\n\n\n<p><\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><\/p><div class=\"accordion mb-3\">\n        <div class=\"accordion-item accordion-item--white\">\n        <h2 class=\"accordion-header\" id=\"accordion-69de5cf253f6b-heading\">\n            <button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-69de5cf253f6b-collapse\" aria-expanded=\"true\" aria-controls=\"accordion-69de5cf253f6b-collapse\"><a>Kasutatud andmestik<\/a><\/button>\n        <\/h2>\n        <div id=\"accordion-69de5cf253f6b-collapse\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-69de5cf253f6b-heading\">\n            <div class=\"accordion-body\">\n\n\n\n<figure class=\"wp-block-table MsoTableGrid is-style-regular\"><table class=\"table table-hover\"><tbody><tr><td colspan=\"6\">\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: #2f5496;\">Eesti rahvaarv seisuga 1. jaanuar<\/span><span lang=\"ET\" style=\"color: black;\">. Allikas: Eesti statistika andmebaas, RV021, 22.12.2019<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Aasta<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Rahvaarv<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Aasta<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Rahvaarv<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Aasta<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Rahvaarv<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1919<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1069344<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1955<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1137640<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1991<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1567749<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1920<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1059000<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1956<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1150791<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1992<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1554878<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1921<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1076543<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1957<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1165009<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1993<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1511303<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1922<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1097733<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1958<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1178717<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1994<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1476952<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1923<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1107130<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1959<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1191428<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1995<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1448075<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1924<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1114498<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1960<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1206362<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1996<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1425192<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1925<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1116730<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1961<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1216712<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1997<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1405996<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1926<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1117270<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1962<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1233441<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1998<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1393074<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1927<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1116343<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1963<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1249804<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1999<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1379237<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1928<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1114941<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1964<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1267910<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2000<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1401250<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1929<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1116553<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1965<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1286262<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2001<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1392720<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1930<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1114748<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1966<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1302870<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2002<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1383510<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1931<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1117445<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1967<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1314323<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2003<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1375190<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1932<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1119339<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1968<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1323569<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2004<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1366250<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1933<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1123734<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1969<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1338858<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2005<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1358850<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1934<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1124769<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1970<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1351640<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2006<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1350700<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1935<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1127928<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1971<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1368511<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2007<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1342920<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1936<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1129804<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1972<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1385399<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2008<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1338440<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1937<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1130143<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1973<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1399637<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2009<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1335740<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1938<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1131161<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1974<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1412265<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2010<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1333290<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1939<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1133917<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1975<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1424073<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2011<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1329660<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1940<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1121939<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1976<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1434630<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2012<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1325217<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1941<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1977<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1444522<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2013<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1320174<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1942<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1978<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1455900<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2014<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1315819<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1943<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1979<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1464476<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2015<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1313271<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1944<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1980<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1472190<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2016<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1315944<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1945<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1981<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1482247<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">2017<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1315635<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1946<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1982<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1493085<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">2018<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">1319133<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1947<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1983<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1503743<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2019<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1324820<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1948<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1984<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1513747<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: #0070c0;\">2020<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: #0070c0;\">1328360<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1949<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1985<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1523486<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1950<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1022906<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1986<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1534076<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1951<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1049831<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1987<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1546304<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1952<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1073439<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1988<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1558137<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1953<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1092763<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1989<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1565662<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1954<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1120213<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1990<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1570599<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-table MsoTableGrid\"><table class=\"table table-hover\"><tbody><tr><td colspan=\"6\">\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: #2f5496;\">Majutusasutuste m\u00fc\u00fcgimaht, miljonit eurot. <\/span><span lang=\"ET\" style=\"color: black;\">Allikas: Eesti statistika andmebaas, tabel TU121, 28.12.2017<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Aasta<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Kvartal<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">M\u00fc\u00fcgimaht, miljonit eurot<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Aasta<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">Kvartal<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; padding: 0cm5.4pt0cm5.4pt;\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">M\u00fc\u00fcgimaht, miljonit eurot<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2001<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">6.8<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2010<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">15.9<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2001<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">13.9<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2010<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">25.9<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2001<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">16.2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2010<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">33.8<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2001<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">10.4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2010<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">23.1<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2002<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">7.7<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2011<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">19.2<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2002<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">16<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2011<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">32<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2002<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">19.3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2011<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">40.8<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2002<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">10.4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2011<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">28.1<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2003<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">6.8<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2012<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">25.6<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2003<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">14.6<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2012<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">39.8<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2003<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">16.9<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2012<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">46.9<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2003<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">12.6<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2012<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">34.2<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2004<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">10.2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2013<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">23<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2004<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">19.9<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2013<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">36.8<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2004<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">25.4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2013<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">45.8<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2004<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">14.7<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2013<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">30.9<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2005<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">12.8<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2014<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">24.3<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2005<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">26.9<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2014<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">39.8<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2005<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">32<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">2014<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.6pt;\"><span lang=\"ET\" style=\"color: black;\">49.9<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2005<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">17.4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2014<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">31<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2006<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">13.8<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2015<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">27.7<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2006<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">27.3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2015<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">43.3<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2006<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">33.9<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2015<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">53.1<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2006<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">19.7<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2015<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">48.4<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2007<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">16<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2016<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">29<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2007<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">29.7<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2016<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">49<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">2007<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">35.2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">2016<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">62.5<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">2007<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">21.5<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">2016<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 15.0pt;\"><span lang=\"ET\" style=\"color: black;\">41.1<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2008<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">18.9<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2017<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">33.9<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2008<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">29.9<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2017<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">53.8<\/span><\/span><\/span><\/p>\n<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2008<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">35.2<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2008<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">21.7<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2009<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">1<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">14.7<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2009<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">22.2<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2009<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">3<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">28.7<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><tr><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">2009<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">4<\/span><\/span><\/span><\/p>\n<\/td><td>\n<p style=\"margin-bottom: .0001pt; text-align: right; padding: 0cm5.4pt0cm5.4pt;\" align=\"right\"><span style=\"line-height: normal;\"><span style=\"height: 14.4pt;\"><span lang=\"ET\" style=\"color: black;\">17.4<\/span><\/span><\/span><\/p>\n<\/td><td>\u00a0<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u00a0<\/p><\/div>\n        <\/div>\n        <\/div>\n    <\/div>\n\n\n\n<p><i>Valminud Hariduse Infotehnoloogia Sihtasutuse IT Akadeemia programmi toel<\/i>.<\/p>\n\n\n\n<p>\u00a0<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Liina-Mai Tooding2020 Kuidas kajastatakse andmeis aega? Aeg on oluline n\u00e4itaja sotsiaalses anal\u00fc\u00fcsis \u2013 muutuja, mis v\u00f5rreldes staatiliste andmetega ilma kahtluseta rikastab j\u00e4reldusi, kuid samaaegselt lisab erin\u00f5udeid ning piiranguid andmeanal\u00fc\u00fcsi. Aega arvestatakse m\u00f5\u00f5tmisel mitmetel eri viisidel, nt teatud ajamomendil kirjeldatakse staatust &#8230;<\/p>\n","protected":false},"author":45,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-13","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/pages\/13","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/users\/45"}],"replies":[{"embeddable":true,"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/comments?post=13"}],"version-history":[{"count":29,"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/pages\/13\/revisions"}],"predecessor-version":[{"id":2085,"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/pages\/13\/revisions\/2085"}],"wp:attachment":[{"href":"https:\/\/sisu.ut.ee\/samm\/wp-json\/wp\/v2\/media?parent=13"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}