{"id":2179,"date":"2023-09-25T10:38:13","date_gmt":"2023-09-25T05:38:13","guid":{"rendered":"http:\/\/vestnik.polytech.tj\/?p=2179"},"modified":"2023-09-25T11:07:42","modified_gmt":"2023-09-25T06:07:42","slug":"statistical-analysis-and-construction-of-the-theoretical-model-of-the-examination-results","status":"publish","type":"post","link":"https:\/\/vestnik.polytech.tj\/?p=2179&lang=en","title":{"rendered":"STATISTICAL ANALYSIS AND CONSTRUCTION OF THE THEORETICAL MODEL OF THE EXAMINATION RESULTS"},"content":{"rendered":"<p><!--vcv no format--><!-- vcwb\/dynamicElementComment:60d1e610 --><\/p>\n<div class=\"vce-row-container\" data-vce-boxed-width=\"true\">\n<div class=\"vce-row vce-row--col-gap-30 vce-row-equal-height vce-row-content--top\" id=\"el-60d1e610\" data-vce-do-apply=\"all el-60d1e610\">\n<div class=\"vce-row-content\" data-vce-element-content=\"true\"><!-- vcwb\/dynamicElementComment:a3d93972 --><\/p>\n<div class=\"vce-col vce-col--md-78p vce-col--xs-1 vce-col--xs-last vce-col--xs-first vce-col--sm-last vce-col--sm-first vce-col--md-first vce-col--lg-first vce-col--xl-first\" id=\"el-a3d93972\">\n<div class=\"vce-col-inner\" data-vce-do-apply=\"border margin background  el-a3d93972\">\n<div class=\"vce-col-content\" data-vce-element-content=\"true\" data-vce-do-apply=\"padding el-a3d93972\"><!-- vcwb\/dynamicElementComment:c5e24d34 --><\/p>\n<div class=\"vce-text-block\">\n<div class=\"vce-text-block-wrapper vce\" id=\"el-c5e24d34\" data-vce-do-apply=\"all el-c5e24d34\">\n<p><span style=\"font-size: 14pt;\"><strong>Authors<\/strong><\/span><\/p>\n<p><strong>&nbsp; &nbsp; &nbsp; &nbsp;Nizamitdinov H.I.<\/strong> \u2013 <em>Doctor of Philosophy, Department of Programming and <\/em><em>Information Technologies, Polytechnic Institute of Tajik Technical University.<\/em><\/p>\n<p><strong>&nbsp; &nbsp; &nbsp; Inomov B.B.<\/strong> \u2013 <em>Assistant, Department of Programming and Information Technologies,<\/em><em>Polytechnic Institute of Tajik Technical University.<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong><em>Annotation<\/em><\/strong><\/span><\/p>\n<p><em>&nbsp; &nbsp;The article considered statistical analysis and the construction of a theoretical model of exam results using non-parametric regression models. A literature review is conducted to identify the most frequently used methods for evaluating the functions of the multivariate dependence of the exam results. These types of models include approximation methods using spline functions, penalized splines and regression splines. It was concluded that the methods for estimating non-linear dependencies between variables can also be used in finding the relationship between the factors influencing the quality of education. Examples of such tasks can be the determination of the relationship between the informative features of syllabus and suggested literatures, syllabus and examination tests.<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Key words<\/strong><\/span><\/p>\n<p><em>&nbsp;Statistics, regression methods, additive models, spline functions, exam result.<\/em><\/p>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:c5e24d34 --><\/div>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:a3d93972 --><!-- vcwb\/dynamicElementComment:5c5414c2 --><\/p>\n<div class=\"vce-col vce-col--md-22p vce-col--xs-1 vce-col--xs-last vce-col--xs-first vce-col--sm-last vce-col--sm-first vce-col--md-last vce-col--lg-last vce-col--xl-last\" id=\"el-5c5414c2\">\n<div class=\"vce-col-inner\" data-vce-do-apply=\"border margin background  el-5c5414c2\">\n<div class=\"vce-col-content\" data-vce-element-content=\"true\" data-vce-do-apply=\"padding el-5c5414c2\"><!-- vcwb\/dynamicElementComment:ec435552 --><\/p>\n<div class=\"vce-text-block\">\n<div class=\"vce-text-block-wrapper vce\" id=\"el-ec435552\" data-vce-do-apply=\"all el-ec435552\">\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\">\n<p style=\"line-height: 1;\"><span style=\"font-size: 14pt;\">Language<\/span><\/p>\n<p style=\"line-height: 1;\"><span style=\"font-size: 12pt; font-weight: 400; font-style: normal;\">english<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:ec435552 --><!-- vcwb\/dynamicElementComment:2dd827ab --><\/p>\n<div class=\"vce-text-block\">\n<div class=\"vce-text-block-wrapper vce\" id=\"el-2dd827ab\" data-vce-do-apply=\"all el-2dd827ab\">\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\">\n<p style=\"line-height: 1;\"><span style=\"font-size: 14pt;\">Type<\/span><\/p>\n<p style=\"line-height: 1;\"><span style=\"font-size: 12pt; font-weight: 400; font-style: normal;\">technical<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:2dd827ab --><!-- vcwb\/dynamicElementComment:ce5451b7 --><\/p>\n<div class=\"vce-text-block\">\n<div class=\"vce-text-block-wrapper vce\" id=\"el-ce5451b7\" data-vce-do-apply=\"all el-ce5451b7\">\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\">\n<p style=\"line-height: 1;\"><span style=\"font-size: 14pt;\">Year<\/span><\/p>\n<p style=\"line-height: 1;\"><span style=\"font-size: 12pt; font-weight: 400; font-style: normal;\">2018<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:ce5451b7 --><!-- vcwb\/dynamicElementComment:93b35685 --><\/p>\n<div class=\"vce-text-block\">\n<div class=\"vce-text-block-wrapper vce\" id=\"el-93b35685\" data-vce-do-apply=\"all el-93b35685\">\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\">\n<p style=\"line-height: 1;\"><span style=\"font-size: 14pt;\">Page<\/span><\/p>\n<p style=\"line-height: 1;\"><span style=\"font-size: 12pt; font-weight: 400; font-style: normal;\">11<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:93b35685 --><\/div>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:5c5414c2 --><\/div>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:60d1e610 --><!-- vcwb\/dynamicElementComment:7bf6d2e5 --><\/p>\n<div class=\"vce-row-container\" data-vce-boxed-width=\"true\">\n<div class=\"vce-row vce-row--col-gap-30 vce-row-equal-height vce-row-content--top\" id=\"el-7bf6d2e5\" data-vce-do-apply=\"all el-7bf6d2e5\">\n<div class=\"vce-row-content\" data-vce-element-content=\"true\"><!-- vcwb\/dynamicElementComment:d6aa6f6a --><\/p>\n<div class=\"vce-col vce-col--md-auto vce-col--xs-1 vce-col--xs-last vce-col--xs-first vce-col--sm-last vce-col--sm-first vce-col--md-last vce-col--lg-last vce-col--xl-last vce-col--md-first vce-col--lg-first vce-col--xl-first\" id=\"el-d6aa6f6a\">\n<div class=\"vce-col-inner\" data-vce-do-apply=\"border margin background  el-d6aa6f6a\">\n<div class=\"vce-col-content\" data-vce-element-content=\"true\" data-vce-do-apply=\"padding el-d6aa6f6a\"><!-- vcwb\/dynamicElementComment:73494f3d --><\/p>\n<div class=\"vce-text-block\">\n<div class=\"vce-text-block-wrapper vce\" id=\"el-73494f3d\" data-vce-do-apply=\"all el-73494f3d\">\n<p><span style=\"font-size: 14pt;\"><strong><em>References<\/em><\/strong><\/span><\/p>\n<ol>\n<li><em> Arafiev V.P., Mikhalchuk A.A. Computer statistical analysis of the quality of engineering education. News of Tomsk Polytechnic University. 2005. T. 308. 4. 226 \u2013 231.<\/em><\/li>\n<li><em> Mikhalchuk A.A., Arafev V.P., Filipenko N.M. Comparative statistical analysis of parametric and non-parametric methods of knowledge assessment in the system of distance learning. Modern problems of science and education. \u2013 2013. &#8212; \u2116 3.<\/em><\/li>\n<li><em> Goutam Saha. Applying logistic regression model data. Journal of Reliability and Statistical Studies. 2011. 4. 105 \u2013 117.<\/em><\/li>\n<li><em> Hastie T.J. and Tibshirani R.J. Generalized Additive Models. Chapman &amp; Hall \/ CRC, 1990.<\/em><\/li>\n<li><em> Wood S.N. Generalized additive models: an introduction with R, Chapman and Hall, 2006.<\/em><\/li>\n<li><em> Eilers P.H.C. and Marx B.D., Direct generalized rule, for example, Computational Statistics and Data Analysis, 28, P. 193 \u2013 209, 1998.<\/em><\/li>\n<li><em> Eilers P.H.C. and Marx B.D., Flexible smoothing using re-links likelihood (with comments and rejoinders), Statistical Science, 11 (2), P. 89 \u2013 121, 1996.<\/em><\/li>\n<li><em> Silvia Figini, Paolo Giudici. Statistical models for e-learning data. 18 (2): 293-304 \u00b7 July 2009.<\/em><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:73494f3d --><\/div>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:d6aa6f6a --><\/div>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:7bf6d2e5 --><!-- vcwb\/dynamicElementComment:f76c803e --><\/p>\n<div class=\"vce-row-container\" data-vce-boxed-width=\"true\">\n<div class=\"vce-row vce-row--col-gap-30 vce-row-equal-height vce-row-content--top\" id=\"el-f76c803e\" data-vce-do-apply=\"all el-f76c803e\">\n<div class=\"vce-row-content\" data-vce-element-content=\"true\"><!-- vcwb\/dynamicElementComment:ca223b57 --><\/p>\n<div class=\"vce-col vce-col--md-auto vce-col--xs-1 vce-col--xs-last vce-col--xs-first vce-col--sm-last vce-col--sm-first vce-col--md-last vce-col--lg-last vce-col--xl-last vce-col--md-first vce-col--lg-first vce-col--xl-first\" id=\"el-ca223b57\">\n<div class=\"vce-col-inner\" data-vce-do-apply=\"border margin background  el-ca223b57\">\n<div class=\"vce-col-content\" data-vce-element-content=\"true\" data-vce-do-apply=\"padding el-ca223b57\"><!-- vcwb\/dynamicElementComment:1cadb2da --><\/p>\n<div class=\"vce-text-block\">\n<div class=\"vce-text-block-wrapper vce\" id=\"el-1cadb2da\" data-vce-do-apply=\"all el-1cadb2da\">\n<p><strong><span style=\"font-size: 14pt;\">Publication date<\/span><\/strong><\/p>\n<p>2023-09-25<\/p>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:1cadb2da --><\/div>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:ca223b57 --><\/div>\n<\/div>\n<\/div>\n<p><!-- \/vcwb\/dynamicElementComment:f76c803e --><!--vcv no format--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Authors &nbsp; &nbsp; &nbsp; &nbsp;Nizamitdinov H.I. \u2013 Doctor of Philosophy, Department of Programming and Information Technologies, Polytechnic Institute of Tajik Technical University. &nbsp; &nbsp; &nbsp; Inomov B.B. \u2013 Assistant, Department of Programming and Information Technologies,Polytechnic Institute of Tajik Technical University. Annotation &nbsp; &nbsp;The article considered statistical analysis and the construction of a theoretical model of exam results using non-parametric regression models. A literature review is conducted to identify the most frequently used methods for evaluating the functions of the multivariate dependence of the exam results. These types of models include&hellip;<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[141],"tags":[221],"class_list":["post-2179","post","type-post","status-publish","format-standard","hentry","category-bulletin_of_pittu-2018","tag-bulletin-of-pittu-2018-4"],"acf":[],"featured_image_src":null,"author_info":{"display_name":"Ilhomjon Qodirov","author_link":"https:\/\/vestnik.polytech.tj\/?author=3"},"_links":{"self":[{"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=\/wp\/v2\/posts\/2179","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2179"}],"version-history":[{"count":5,"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=\/wp\/v2\/posts\/2179\/revisions"}],"predecessor-version":[{"id":2184,"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=\/wp\/v2\/posts\/2179\/revisions\/2184"}],"wp:attachment":[{"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2179"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2179"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vestnik.polytech.tj\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}