Application of Generalizability Theory in Estimating the Sources of Error in WAEC Mathematics Test Score

Abstract

The objective of studying mathematics in all levels of education in Nigeria deserves harnessing the benefits and estimates sources of error in the measurement situation. This study applied generalizability theory in estimating errors in WAEC mathematics test scores. Fully crossed design was used. Mathematics Essay Test was used for data collection and Kendal coefficient of concordance was used in testing the reliability and 0.719 was obtained as the reliability estimate. Edu G version 6.1 was used for data analysis and the hypothesis was tested at 0.05 level of significance using standard error. The study showed that there are other sources of errors in test items. We also observed that there was an overlap of their collective variance components in both relative and absolute error variances which shows that there was no significant difference of test scores over the facets and their interactions at 0.05 level of significance. Also, the work recommended that a wider geographical scope, different D-studies, greater number of raters and items and other examination bodies should be studied.