{"id":22,"date":"2024-04-03T23:09:23","date_gmt":"2024-04-03T20:09:23","guid":{"rendered":"https:\/\/sisu.ut.ee\/measurement\/92-estimation-uncertainty-contributions-and-combined-standard-uncertainty-using-data-are\/"},"modified":"2024-07-10T13:26:26","modified_gmt":"2024-07-10T10:26:26","slug":"92-estimation-uncertainty-contributions-and-combined-standard-uncertainty-using-data-are","status":"publish","type":"page","link":"https:\/\/sisu.ut.ee\/measurement\/92-estimation-uncertainty-contributions-and-combined-standard-uncertainty-using-data-are\/","title":{"rendered":"9.2. Step 2 \u2013 Model equation"},"content":{"rendered":"<p style=\"text-align: center;\"><\/p><div class=\"ratio ratio-16x9 mb-3\"><div class=\"video-placeholder-wrapper video-placeholder-wrapper--16x9\">\n\t\t\t    <div class=\"video-placeholder d-flex justify-content-center align-items-center\">\n\t\t\t        <div class=\"overlay text-white p-2 w-100 text-center d-block justify-content-center align-items-center\">\n\t\t\t            <div>To view third-party content, please accept cookies.<\/div>\n\t\t\t            <button class=\"btn btn-secondary btn-sm mt-1 consent-change\">Change consent<\/button>\n\t\t\t        <\/div>\n\t\t\t    <\/div>\n\t\t\t<\/div>\n<\/div>\n<h4 style=\"text-align: center;\"><strong>Model equation<\/strong><br>\n<a style=\"line-height: 1.6em;\" href=\"http:\/\/www.uttv.ee\/naita?id=17637\" target=\"_blank\" rel=\"noopener\">http:\/\/www.uttv.ee\/naita?id=17637<\/a><\/h4>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.youtube.com\/watch?v=N45YNwToyac\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=N45YNwToyac<\/a><\/p>\n<p>The model equation (equation 9.1) enables calculating the <strong>output quantity<\/strong> value (result value) from the <strong>input quantity<\/strong> values. Input quantities are the directly measured quantities (or are calculated from directly measured quantities). In addition, the model equation has to enable accounting for all important measurement uncertainty sources. In the case of this analysis the model equation is the following:<\/p>\n<table class=\"table table-hover\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" width=\"267\" height=\"50\" class=\"alignnone wp-image-303\" title=\"9-1.png\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/18\/9-1.png\" alt=\"9-1.png\"><\/td>\n<td>(9.1)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: left;\" align=\"right\"><span style=\"line-height: 1.6em;\">The output quantity is <\/span><em style=\"line-height: 1.6em;\">C<\/em><sub>N_sample<\/sub><span style=\"line-height: 1.6em;\"> \u2013 ammonium ion concentration in the water sample.<\/span><\/p>\n<p>The input quantities are:<\/p>\n<p style=\"padding-left: 30px;\"><em>A<\/em><sub>sample<\/sub> \u2013 absorbance of the dye solution obtained from the sample;<br>\n<em style=\"line-height: 1.6em;\">b<\/em><sub>1<\/sub><span style=\"line-height: 1.6em;\"> and <\/span><em style=\"line-height: 1.6em;\">b<\/em><sub>0<\/sub><span style=\"line-height: 1.6em;\"> \u2013 slope and intercept of the calibration graph;<br>\n<\/span><em style=\"line-height: 1.6em;\">f<\/em><sub>d<\/sub><span style=\"line-height: 1.6em;\"> \u2013 dilution factor;<br>\n<\/span><span style=\"line-height: 1.6em;\">\u0394<\/span><em style=\"line-height: 1.6em;\">C<\/em><sub>dc<\/sub><span style=\"line-height: 1.6em;\"> \u2013 component taking into account uncertainty originating from possible decomposition or contamination.<\/span><\/p>\n<p><span style=\"line-height: 1.6em;\">The parameters <\/span><em style=\"line-height: 1.6em;\">A<\/em><sub>sample<\/sub><span style=\"line-height: 1.6em;\">, <\/span><em style=\"line-height: 1.6em;\">b<\/em><sub>1<\/sub><span style=\"line-height: 1.6em;\">, <\/span><em style=\"line-height: 1.6em;\">b<\/em><sub>0<\/sub><span style=\"line-height: 1.6em;\"> and <\/span><em style=\"line-height: 1.6em;\">f<\/em><sub>d<\/sub><span style=\"line-height: 1.6em;\"> in the equation account for the directly measured input quantities. In contrast, \u0394<\/span><em style=\"line-height: 1.6em;\">C<\/em><sub>dc<\/sub><span style=\"line-height: 1.6em;\"> is introduced only for taking into account uncertainty due to possible decomposition of the photometric complex and due to possible contamination. Its value is zero as will be seen in section 9.4, so, it does not contribute to the value of <\/span><em style=\"line-height: 1.6em;\">C<\/em><sub>N_sample<\/sub><span style=\"line-height: 1.6em;\">. However, its uncertainty is different from zero and therefore will contribute to the uncertainty of <\/span><em style=\"line-height: 1.6em;\">C<\/em><sub>N_sample.<\/sub><\/p>\n<p><a href=\"https:\/\/sisu.ut.ee\/measurement\/self-test-9-2-b\/\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-60\" style=\"margin-right: auto; margin-left: auto;\" title=\"selftest.png\" src=\"https:\/\/sisu.ut.ee\/wp-content\/uploads\/sites\/18\/selftest.png\" alt=\"selftest.png\" width=\"104\" height=\"41\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>To view third-party content, please accept cookies. Change consent Model equation http:\/\/www.uttv.ee\/naita?id=17637 https:\/\/www.youtube.com\/watch?v=N45YNwToyac The model equation (equation 9.1) enables calculating the output quantity value (result value) from the input quantity values. Input quantities are the directly measured quantities (or are &#8230;<\/p>\n","protected":false},"author":14,"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-22","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":2,"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":761,"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/pages\/22\/revisions\/761"}],"wp:attachment":[{"href":"https:\/\/sisu.ut.ee\/measurement\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}