Shrinkage of multiple correlation in National Common Entrance Examination Scores
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Date
1985
Authors
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Journal ISSN
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Publisher
Obafemi Awolowo University, Ile Ife, Nigeria
Abstract
The study examined the stability of predictive validities obtained by Ojerinde (1974) on the
prediction of academic success from the National Common Entrance Examination (NCEE)
scores. A sample of 266 candidates collected from three Federal Government Colleges was used,
The data collected included the scopes obtained by each candidate on Arithmetic, English,
Verbal and Quantitative Aptitude tests in the NCEE. The criterion variables were grades on
Mathematics, English and a composite of the best six school certificate papers.
The major hypothesis tested was that there would be no significant shrinkage of multiple
correlation between the observed and the predicted criterion scores, Multiple regression and Ftest
were used to analyse the data. In the prediction of Mathematics and English Language each
from Arithmetic, English, Verbal and Quantitative Aptitude tests, the shrinkage of multiple
correlation was not significant at p< 0.05 level.
The shrinkage of multiple correlation in predicting overall performance in school certificate
examination using the same predictor variables was significant at p< 005 level, However, there
was no significant shrinkage of multiple correlation in the prediction of 11 performance from
combination of Arithmetic quantitative Aptitude test on one hand and English and Verbal
Aptitude test on the other hand at p<0.05 level.
The study further found that there was a significant relationship between the predicted and
observed criterion scores at p <0.05 level. There was no orthogonality among the predictors and
no stability in the regression weights from sample to sample. It was concluded that it would be
erroneous to transfer the predictive validities established on a sample to another similar sample
without cross-validation.
Description
109p
Keywords
Education, Academic, Federal Government Colleges, National Common Entrance Examination (NCEE), Quantitative Aptitude tests, Correlation