APPLICATION OF THEIL’S REGRESSION ALGORITHM ON THE JAMB AND POST-JAMB SCORES OF STUDENTS (A CASE STUDY OF ABIA STATE UNIVERSITY, UTURU ABIA STATE NIGERIA)

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Published: 2015-06-25

Page: 204-215


NWOBI ANDERSON CHUKWUKAILO *

Department of Statistics, Abia State Polytechnic, Aba Nigeria.

*Author to whom correspondence should be addressed.


Abstract

This paper is on the application of Theil’s regression algorithm on the Joint Admission Matriculation Board (JAMB) and POST-JAMB scores of students of Abia State University, Uturu Nigeria. This method was adopted since all errors in the y-direction are not normally distributed for the commonly used least squares regression method for fitting an equation into a set of (x,y)-data points using the Anderson-Darling, Ryan-Joiner and Kolmogorov Smirnov test. The steps for Theils were stated in this paper. The data used for this research were collected from the admission unit of the University using a total sample of 200 selected randomly students from the Faculty of Science. The use of a programming language software known as “R Development”, 3.0.1 version was used to write a suitable formula for the bivariate data in this research. From the analysis, the result revealed that there is no significant difference between JAMB and Post-JAMB scores and the estimated fitted Theil’s is = 233.54545+0.5539 xi and it was observed that the intercept is significant. The result of this paper agreed with the research carried out by Unanka [1] using the parametric linear regression.

 

Keywords: Theil’s regression, weighted Theil’s regression, weighted median, OLS, pairwise slope


How to Cite

CHUKWUKAILO, N. A. (2015). APPLICATION OF THEIL’S REGRESSION ALGORITHM ON THE JAMB AND POST-JAMB SCORES OF STUDENTS (A CASE STUDY OF ABIA STATE UNIVERSITY, UTURU ABIA STATE NIGERIA). Asian Journal of Mathematics and Computer Research, 5(4), 204–215. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/194

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