Statistical approach on grading the student achievement via mixture modelling

The purpose of this study is to compare results obtained from assigning letter grades to student achievement. These methods referred as assessment which is takes place at the end of semester period to measure the The conventional and the most popular method to assign grades is the Statistical approa...

Full description

Bibliographic Details
Main Authors: Md. Desa, Zairul Nor Deana, Mohamad, lsmail
Format: Article
Language:English
Published: Penerbit UTM Press 2006
Subjects:
Online Access:http://eprints.utm.my/8022/
http://eprints.utm.my/8022/1/ZairulNorDeanaMdDesa2006_StatisticalApproachonGradingTheStudent.pdf
_version_ 1848891602805719040
author Md. Desa, Zairul Nor Deana
Mohamad, lsmail
author_facet Md. Desa, Zairul Nor Deana
Mohamad, lsmail
author_sort Md. Desa, Zairul Nor Deana
building UTeM Institutional Repository
collection Online Access
description The purpose of this study is to compare results obtained from assigning letter grades to student achievement. These methods referred as assessment which is takes place at the end of semester period to measure the The conventional and the most popular method to assign grades is the Statistical approaches which used the Standard Deviation and conditional considered to assign the grades. In the conditional Bayesian model, we assume the Normal Mixture distribution where the grades are distinctively separated means and proportions of the Normal Mixture distribution. The problem posterior density of the parameters which is analytically intractable. A solution using the Markov Chain Monte Carlo approach namely Gibbs sampler algorithm. Scale, Standard Deviation and Conditional Bayesian methods are applied to scores of 560 students. The performances of these methods are measured using Loss, Lenient Class Loss and Coefficient of Determination. The results showed Bayesian performed out the Conventional Methods of assigning grades.
first_indexed 2025-11-15T21:00:35Z
format Article
id utm-8022
institution Universiti Teknologi Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T21:00:35Z
publishDate 2006
publisher Penerbit UTM Press
recordtype eprints
repository_type Digital Repository
spelling utm-80222017-11-01T04:17:29Z http://eprints.utm.my/8022/ Statistical approach on grading the student achievement via mixture modelling Md. Desa, Zairul Nor Deana Mohamad, lsmail LB Theory and practice of education QA Mathematics L Education (General) The purpose of this study is to compare results obtained from assigning letter grades to student achievement. These methods referred as assessment which is takes place at the end of semester period to measure the The conventional and the most popular method to assign grades is the Statistical approaches which used the Standard Deviation and conditional considered to assign the grades. In the conditional Bayesian model, we assume the Normal Mixture distribution where the grades are distinctively separated means and proportions of the Normal Mixture distribution. The problem posterior density of the parameters which is analytically intractable. A solution using the Markov Chain Monte Carlo approach namely Gibbs sampler algorithm. Scale, Standard Deviation and Conditional Bayesian methods are applied to scores of 560 students. The performances of these methods are measured using Loss, Lenient Class Loss and Coefficient of Determination. The results showed Bayesian performed out the Conventional Methods of assigning grades. Penerbit UTM Press 2006-10-11 Article PeerReviewed application/pdf en http://eprints.utm.my/8022/1/ZairulNorDeanaMdDesa2006_StatisticalApproachonGradingTheStudent.pdf Md. Desa, Zairul Nor Deana and Mohamad, lsmail (2006) Statistical approach on grading the student achievement via mixture modelling. Jurnal Pendidikan Universiti Teknologi Malaysia, 11 . pp. 63-78. ISSN 1394-1801
spellingShingle LB Theory and practice of education
QA Mathematics
L Education (General)
Md. Desa, Zairul Nor Deana
Mohamad, lsmail
Statistical approach on grading the student achievement via mixture modelling
title Statistical approach on grading the student achievement via mixture modelling
title_full Statistical approach on grading the student achievement via mixture modelling
title_fullStr Statistical approach on grading the student achievement via mixture modelling
title_full_unstemmed Statistical approach on grading the student achievement via mixture modelling
title_short Statistical approach on grading the student achievement via mixture modelling
title_sort statistical approach on grading the student achievement via mixture modelling
topic LB Theory and practice of education
QA Mathematics
L Education (General)
url http://eprints.utm.my/8022/
http://eprints.utm.my/8022/1/ZairulNorDeanaMdDesa2006_StatisticalApproachonGradingTheStudent.pdf