Home / Current Issue / Paper 1703902
MARKOVIAN Modeling of Students Performance by Cohorts in Secondary Schools
Subject area: Science,Engineering and Technology · Area of research: Statistics
Abstract
The evaluation of students? progress is a very important part of any educational system. Examination results is one of the indicators of a student?s success and school performance. The assessment methods used in schools cannot be used to forecast with what certainty a student?s 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? 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.
Keywords
Markov chain, Cohort, Transition and Fundamental matrices
References
[1] Adeleke R. A., Oguntuase K. A. and Ogunsakin R. E. (2014). Application of Markov chain to the assessment of students’ admission and academic performance in Ekiti State University, Nigeria. International journal of scientific and technology research. Vol 3, issue 7 349 – 357.
[2] Broadfoot, P. and Black P. (2004). Redefining assessment. The first ten years of assessment in Education, Assessment in Education.
[3] Burke G. (1872). A study in the economics of education with particular reference to the supply of secondary teachers for government schools in Victoria, PhD thesis, Monash University.
[4] Chan Cansong (2005). Application of homogenous Markov chain in the public teaching of impact assessment, PhD thesis, Luoyang University.
[5] Chen Xiangyang (2007). Application of Markov chain in educational assessment, PhD thesis, University of mathematics
[6] Imboga O. H., George O. O. and Humphreys H. M. (2013). Construction of Markov transition matrices for cohorts of students in BSc. Actuarial Science, MSc. thesis, Jomo Kenyatta University, Kenya.
[7] Nicolls M. G. (2009). The use of markov models as an aid to evaluation, planning and benchmarkingof Doctoral programmes, Journal of operational research society 60 1183 – 1190.
How to cite this paper
@article{1703902,
author = {Amwayi N. Everlyne, Sirengo J. L., Kati R. O.},
title = {MARKOVIAN Modeling of Students Performance by Cohorts in Secondary Schools},
journal = {Iconic Research And Engineering Journals},
year = {2022},
volume = {6},
number = {5},
pages = {134-140},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1703902.pdf},
abstract = {The evaluation of students? progress is a very important part of any educational system. Examination results is one of the indicators of a student?s success and school performance. The assessment methods used in schools cannot be used to forecast with what certainty a student?s 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? 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.},
keywords = {Markov chain, Cohort, Transition and Fundamental matrices},
month = {November},
}