|
Application Of Markov Chain To The Assessment Of Students' Admission And Academic Performance In Ekiti State University
[Full Text]
AUTHOR(S)
R.A Adeleke, K.A Oguntuase, R.E Ogunsakin
KEYWORDS
Keywords: Markov chain, Enrolment, Prediction, fundamental Matrix and Probability of Absorption.
ABSTRACT
Abstract: This paper studies the pattern of students’ enrolment and their academic performance in the Department of Mathematical Sciences (Mathematics Option) Ekiti State University, Ado – Ekiti, Nigeria. In this paper, A transition matrix was developed for ten consecutive academic sessions. The probabilities of absorption (Graduating and Withdrawal) were obtained. Also fundamental matrix was obtained to determine the expected length of students’ stay before graduating. Prediction was made on the enrolment and academic performance of students.
REFERENCES
[1]. Cox, D.R and Miller, H.D (1965);The theory of Stochastic Processes Spottiwoode, Ballantyne & Co. Ltd London and Colchester.
[2]. Doob, J.L. (1953), Stochastic Processes. John Wisley & Sons, New York.
[3]. Encyclopedia of Mathematics (1995);Kluwer Academic Publishers, Toppan company(s) pte. Ltd., Singapore.
[4]. “http://en.wikipedia.org/wiki/Markov Chain” Categories: Probability theory/Stochastic Processes/Statistical models/Markov Models
[5]. James N. Johnstone & Hugh Philip: School of Education, Macquaire University, North Ryde, New South wales 2113, Australia. www.sciencedirect.com/science.
[6]. Kevin Geary (Mar., 1978), Indicators of Educational Progress – A Markov Chain Approach Applied to Swaziland, Centre for environmental Studies, London.
[7]. Lindley, D.V (1965); Introduction to probability and Statistics from a Bayesian view point part 1 probability. The Syndics of the Cambridge University Press.
[8]. Markov, A.A (1971); Extension of the limit theorems of probability theory to a sum of variables connected in a chain. Reprinted in Appendix B of: R. Howard Dynamic probabilistic systems, volume 1: Markov chains.
[9]. Richard, Bronson (1983);Shaum’s outline of Theory and Problems of Operation research. Mc Graw- Hill Book Co., Singapore.
[10]. Stewart, W., Introduction to Numerical Solution of Markov chains, Princeton University. Press, Princeton. NJ, 1995.
[11]. Malkiel, Burton G.(1973). A Random Walk Down Wall Street (6th ed.) W.W. Norton & Company, Inc.
|
