{"id":4155,"date":"2025-04-15T08:21:10","date_gmt":"2025-04-15T08:21:10","guid":{"rendered":"https:\/\/fs.kibu.ac.ke\/?p=4155"},"modified":"2025-12-27T00:15:54","modified_gmt":"2025-12-27T00:15:54","slug":"markovian-modeling-of-students-performance-by-cohorts-in-secondary-schools","status":"publish","type":"post","link":"https:\/\/kibu.ac.ke\/fs\/markovian-modeling-of-students-performance-by-cohorts-in-secondary-schools\/","title":{"rendered":"MARKOVIAN Modeling of Students Performance by Cohorts in Secondary Schools"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"4155\" class=\"elementor elementor-4155\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7b4b660b elementor-section-full_width elementor-section-height-min-height elementor-section-items-stretch elementor-section-height-default\" data-id=\"7b4b660b\" data-element_type=\"section\" id=\"ourgoal\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6db40ec5\" data-id=\"6db40ec5\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-340ff6b5 elementor-widget elementor-widget-theme-post-title elementor-page-title elementor-widget-heading\" data-id=\"340ff6b5\" data-element_type=\"widget\" data-widget_type=\"theme-post-title.default\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">MARKOVIAN Modeling of Students Performance by Cohorts in Secondary Schools<\/h1>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4bda7b34 elementor-section-height-min-height elementor-section-boxed elementor-section-height-default elementor-section-items-middle\" data-id=\"4bda7b34\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-747cbdba\" data-id=\"747cbdba\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-7a0ae250 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7a0ae250\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6ec3b0f3 elementor-invisible\" data-id=\"6ec3b0f3\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-753ce340 elementor-widget__width-auto elementor-widget elementor-widget-heading\" data-id=\"753ce340\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">2022<\/h2>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-4697d7a0 elementor-invisible\" data-id=\"4697d7a0\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5d7b7ae6 elementor-widget elementor-widget-heading\" data-id=\"5d7b7ae6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">KIBU Authors<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2766e1a0 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"2766e1a0\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeIn&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>Sirengo J. L.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-eb9b3e0 elementor-invisible\" data-id=\"eb9b3e0\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7cf2300c elementor-tablet-align-left elementor-invisible elementor-widget elementor-widget-button\" data-id=\"7cf2300c\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInLeft&quot;}\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-shrink\" href=\"https:\/\/www.irejournals.com\/paper-details\/1703902\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">VIEW ON PUBLISHER SITE<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-e62910e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e62910e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-129c7b1a elementor-invisible\" data-id=\"129c7b1a\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2edd0160 elementor-widget elementor-widget-heading\" data-id=\"2edd0160\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Abstract<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5bb859e elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"5bb859e\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeIn&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<div class=\"card indipaper-list-c1\"><div class=\"card-body\"><div class=\"row\"><div class=\"col-md-10\"><p class=\"text-justify\">The evaluation of students\u2019 progress is a very important part of any educational system. Examination results is one of the indicators of a student\u2019s success and school performance. The assessment methods used in schools cannot be used to forecast with what certainty a student\u2019s level of performance will change in either direction. The Markov chain model can be sensitive to reflect the true assessment. In this paper Markovian modeling of student performance by cohorts in Secondary school was done. The paper sought to show how students\u2019 achievements in the immediate previous exams affect the final grade. With the help of Markovian chains, the probability of a student scoring a given grade at the end of the course was shown. The study was conducted through case studies, document analysis, Markovian chain theory, maximum likelihood estimator to estimatetransition parameters and Matlab software. It is hoped that the findings of this study will yield information that will be useful to project planning and decision making by the candidates, teachers, parents, curriculum implementers and evaluators and other stakeholders in the education system.<\/p><\/div><\/div><\/div><\/div><div class=\"card indipaper-list-c1\"><div class=\"card-body\"><div class=\"row\"><div class=\"col-md-1\">\u00a0<\/div><div class=\"col-md-10\"><h5 class=\"card-subtitle mb-2\">Keywords<\/h5><p class=\"text-justify\">Markov chain, Cohort, Transition and Fundamental matrices<\/p><\/div><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>2022 KIBU Authors Sirengo J. L. VIEW ON PUBLISHER SITE Abstract The evaluation of students\u2019 progress is a very important part of any educational system. Examination results is one of the indicators of a student\u2019s success and school performance. The assessment methods used in schools cannot be used to forecast with what certainty a student\u2019s [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-4155","post","type-post","status-publish","format-standard","hentry","category-research-list"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>MARKOVIAN Modeling of Students Performance by Cohorts in Secondary Schools - Faculty of Science<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/kibu.ac.ke\/fs\/markovian-modeling-of-students-performance-by-cohorts-in-secondary-schools\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MARKOVIAN Modeling of Students Performance by Cohorts in Secondary Schools - Faculty of Science\" \/>\n<meta property=\"og:description\" content=\"2022 KIBU Authors Sirengo J. L. VIEW ON PUBLISHER SITE Abstract The evaluation of students\u2019 progress is a very important part of any educational system. Examination results is one of the indicators of a student\u2019s success and school performance. 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L. VIEW ON PUBLISHER SITE Abstract The evaluation of students\u2019 progress is a very important part of any educational system. Examination results is one of the indicators of a student\u2019s success and school performance. 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