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)

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.