{"id":626,"date":"2024-06-19T09:13:26","date_gmt":"2024-06-19T06:13:26","guid":{"rendered":"https:\/\/sisu.ut.ee\/measurement\/self-test-10-2\/"},"modified":"2024-06-19T09:13:26","modified_gmt":"2024-06-19T06:13:26","slug":"self-test-10-2","status":"publish","type":"page","link":"https:\/\/sisu.ut.ee\/measurement\/self-test-10-2\/","title":{"rendered":"Self-test 10.2"},"content":{"rendered":"<div id=\"watupro_quiz\" class=\"quiz-area single-page-quiz\">\n<p id=\"submittingExam28\" style=\"display:none;text-align:center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\"><\/p>\n\n<div class=\"watupro-exam-description\" id=\"description-quiz-28\"><p>Here you can test your understanding how the uncertainty component accounting for the random effects can be estimated in practice.<\/p>\n<\/div>\n\n<form action=\"\" method=\"post\" class=\"quiz-form\" id=\"quiz-28\" enctype=\"multipart\/form-data\">\n<div class=\"watu-question \" id=\"question-1\" style=\";\"><div id=\"questionWrap-1\" class=\"   watupro-question-id-106\">\n\t\t\t<div class=\"question-content\"><div><span class=\"watupro_num\">1. <\/span>A laboratory wants to estimate the within-lab reproducibility component (component accounting for the random effects) of measurement uncertainty of protein content determination in different foods. For this protein content in a control sample of smoked sausage was determined repeatedly during a time period of almost one year. Every day when this smoked sausage was analysed only one parallel measurement was made. The following results were obtained:<br>\r\n<table style=\"width: 37.6249%; height: 375px;\" border=\"1px solid rgb(0, 0, 0)\" width=\"128\" cellpadding=\"4\"><tbody><tr><td style=\"border: 1px solid #000000; text-align: center;\" width=\"64\"><strong>Week<\/strong><\/td><td style=\"border: 1px solid #000000; text-align: center;\" width=\"64\"><strong>Result\u00a0(g\/100g)<\/strong><\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">3<\/td><td style=\"border: 1px solid #000000; text-align: center;\">18.1<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">5<\/td><td style=\"border: 1px solid #000000; text-align: center;\">20.5<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">11<\/td><td style=\"border: 1px solid #000000; text-align: center;\">18.3<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">14<\/td><td style=\"border: 1px solid #000000; text-align: center;\">19.1<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">15<\/td><td style=\"border: 1px solid #000000; text-align: center;\">19.3<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">27<\/td><td style=\"border: 1px solid #000000; text-align: center;\">20.2<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">34<\/td><td style=\"border: 1px solid #000000; text-align: center;\">19.7<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">41<\/td><td style=\"border: 1px solid #000000; text-align: center;\">19.5<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">42<\/td><td style=\"border: 1px solid #000000; text-align: center;\">18.6<\/td><\/tr><tr><td style=\"border: 1px solid #000000; text-align: center;\">48<\/td><td style=\"border: 1px solid #000000; text-align: center;\">20.1<\/td><\/tr><\/tbody><\/table>\u00a0<br>\r\n<br>\r\nPlease calculate the within-lab reproducibility component of uncertainty (please give 2 or 3 decimals). Absolute uncertainties can be used in this case.<br>\r\n<div class=\"accordion-block mb-3\"><div id=\"accordion-accordion-6683c25b128752\" class=\"accordion \"><div class=\"accordion-item accordion-item--white\"><h3 id=\"accordion-6683c25b128752-heading-1\" class=\"accordion-header\"><button class=\"accordion-button collapsed\" type=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\"#accordion-6683c25b128752-collapse-1\" aria-expanded=\"false\" aria-controls=\"accordion-6683c25b128752-collapse-2\">Clue<\/button><\/h3><div id=\"accordion-6683c25b128752-collapse-1\" class=\"accordion-collapse collapse\" aria-labelledby=\"accordion-6683c25b128752-heading-1\"><div class=\"accordion-body\"><div>The reproducibility component is found as the standard deviation of the results obtained on different days.<\/div><\/div><\/div><\/div><\/div><\/div><\/div><input type=\"hidden\" name=\"question_id[]\" id=\"qID_1\" value=\"106\" class=\"watupro-question-id\"><input type=\"hidden\" id=\"answerType106\" class=\"answerTypeCnt1\" value=\"textarea\"><!-- end question-content--><\/div><div class=\"question-choices \" id=\"questionChoices106\"><p><input type=\"text\" name=\"answer-106[]\" id=\"textarea_q_106\" class=\"watupro-text\" value=\"\" size=\"60\"><\/p><!-- end question-choices--><\/div><!-- end questionWrap--><\/div>\t\t\t\t\t<div style=\"display:none;\" id=\"liveResult-1\">\t\t   \n\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\">\u00a0Loading...\t\t\t\t\t<\/div>\t\n\t\t\t<\/div> \n\t   \t<p id=\"liveResBtn-106\" style=\"clear:both;\"><input type=\"button\" id=\"liveResultBtn106\" class=\"liveResultBtn1 watupro-live-result-btn\" value=\"See Answer\" onclick=\"WatuPRO.liveResult(106, 1);\"><\/p>\n\t   <div class=\"watu-question \" id=\"question-2\" style=\";\"><div id=\"questionWrap-2\" class=\"   watupro-question-id-107\">\n\t\t\t<div class=\"question-content\"><div><span class=\"watupro_num\">2. <\/span>Which of the following is true?<\/div><input type=\"hidden\" name=\"question_id[]\" id=\"qID_2\" value=\"107\" class=\"watupro-question-id\"><input type=\"hidden\" id=\"answerType107\" class=\"answerTypeCnt2\" value=\"checkbox\"><!-- end question-content--><\/div><div class=\"question-choices watupro-choices-columns \" id=\"questionChoices107\"><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-107[]\" id=\"answer-id-347\" class=\"answer   answerof-107 \" value=\"347\"><label for=\"answer-id-347\" id=\"answer-label-347\" class=\" answer\"><span><p>In order for this <em>u<\/em>(<em>R<\/em><sub>w<\/sub>) estimate to be valid it is very important that the control sample is homogenous.\u00a0<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-107[]\" id=\"answer-id-345\" class=\"answer   answerof-107 \" value=\"345\"><label for=\"answer-id-345\" id=\"answer-label-345\" class=\" answer\"><span><p>The true protein content in the control sample is with 95% probability within \u00b12\u00b7<em>u<\/em>(<em>R<\/em><sub>w<\/sub>) from the mean value of the ten determinations.<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-107[]\" id=\"answer-id-346\" class=\"answer   answerof-107 \" value=\"346\"><label for=\"answer-id-346\" id=\"answer-label-346\" class=\" answer\"><span><p>In order for this <em>u<\/em>(<em>R<\/em><sub>w<\/sub>) estimate to be valid it is very important that the control sample is stable in time.<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-107[]\" id=\"answer-id-343\" class=\"answer   answerof-107 \" value=\"343\"><label for=\"answer-id-343\" id=\"answer-label-343\" class=\" answer\"><span><p>It does not matter, whether the weeks on which the determination of <em>u<\/em>(<em>R<\/em><sub>w<\/sub>) was done are spread out over the entire year or are made on ten consecutive weeks, e.g. on wwke 3-12.<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-107[]\" id=\"answer-id-344\" class=\"answer   answerof-107 \" value=\"344\"><label for=\"answer-id-344\" id=\"answer-label-344\" class=\" answer\"><span><p>It would be better to do more measurements than 10 for <em>u<\/em>(<em>R<\/em><sub>w<\/sub>) determination.\u00a0<\/p><\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div>\t\t\t\t\t<div style=\"display:none;\" id=\"liveResult-2\">\t\t   \n\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\">\u00a0Loading...\t\t\t\t\t<\/div>\t\n\t\t\t<\/div> \n\t   \t<p id=\"liveResBtn-107\" style=\"clear:both;\"><input type=\"button\" id=\"liveResultBtn107\" class=\"liveResultBtn2 watupro-live-result-btn\" value=\"See Answer\" onclick=\"WatuPRO.liveResult(107, 2);\"><\/p>\n\t   <div class=\"watu-question \" id=\"question-3\" style=\";\"><div id=\"questionWrap-3\" class=\"   watupro-question-id-108\">\n\t\t\t<div class=\"question-content\"><div><span class=\"watupro_num\">3. <\/span>Which of the following issues are important in determining <em>s<\/em><sub>RW<\/sub>?<\/div><input type=\"hidden\" name=\"question_id[]\" id=\"qID_3\" value=\"108\" class=\"watupro-question-id\"><input type=\"hidden\" id=\"answerType108\" class=\"answerTypeCnt3\" value=\"checkbox\"><!-- end question-content--><\/div><div class=\"question-choices watupro-choices-columns \" id=\"questionChoices108\"><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-108[]\" id=\"answer-id-348\" class=\"answer   answerof-108 \" value=\"348\"><label for=\"answer-id-348\" id=\"answer-label-348\" class=\" answer\"><span><p>Sufficient number of replicate measurements<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-108[]\" id=\"answer-id-353\" class=\"answer   answerof-108 \" value=\"353\"><label for=\"answer-id-353\" id=\"answer-label-353\" class=\" answer\"><span><p>Reliable reference value<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-108[]\" id=\"answer-id-350\" class=\"answer   answerof-108 \" value=\"350\"><label for=\"answer-id-350\" id=\"answer-label-350\" class=\" answer\"><span><p>Homogeneous sample<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-108[]\" id=\"answer-id-352\" class=\"answer   answerof-108 \" value=\"352\"><label for=\"answer-id-352\" id=\"answer-label-352\" class=\" answer\"><span><p>Concentration range match<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-108[]\" id=\"answer-id-349\" class=\"answer   answerof-108 \" value=\"349\"><label for=\"answer-id-349\" id=\"answer-label-349\" class=\" answer\"><span><p>Sufficiently long timeframe<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-108[]\" id=\"answer-id-351\" class=\"answer   answerof-108 \" value=\"351\"><label for=\"answer-id-351\" id=\"answer-label-351\" class=\" answer\"><span><p>Matrix match<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-108[]\" id=\"answer-id-354\" class=\"answer   answerof-108 \" value=\"354\"><label for=\"answer-id-354\" id=\"answer-label-354\" class=\" answer\"><span><p>Including the sample preparation<\/p><\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div>\t\t\t\t\t<div style=\"display:none;\" id=\"liveResult-3\">\t\t   \n\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\">\u00a0Loading...\t\t\t\t\t<\/div>\t\n\t\t\t<\/div> \n\t   \t<p id=\"liveResBtn-108\" style=\"clear:both;\"><input type=\"button\" id=\"liveResultBtn108\" class=\"liveResultBtn3 watupro-live-result-btn\" value=\"See Answer\" onclick=\"WatuPRO.liveResult(108, 3);\"><\/p>\n\t   <div style=\"display:none\" id=\"question-4\">\n\t<div class=\"question-content\">\n\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" 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