Universiti Teknologi Malaysia Institutional Repository

Statistical approach on grading the student achievement via mixture modelling

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

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:grading methods, educational measurement, straight scale, standard deviation method, normal mixture-markov chain monte carlo, gibbs sampling
Subjects:L Education > LB Theory and practice of education
Q Science > QA Mathematics
L Education > L Education (General)
Divisions:Education
ID Code:8022
Deposited By: Ms Zalinda Shuratman
Deposited On:16 Mar 2009 06:26
Last Modified:02 Jun 2010 01:50

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