There have been lots of literature concerning estimations of examinees’ abilities, however, relatively few relates to hypothesis testing for equality of examinees’ abilities. This study first concerns tests for the equality of two examinees’ abilities using dichotomous two-parameter logistic model based on the item response data. When item parameters are all equal, exact test can be obtained which is based on the difference of two examinees’ scores. While item parameters are not all equal, large sample approximations are considered for the test. Test procedure is also extended to the situation that more than two examinees are involved. Finally, we discuss the testing for equality of a finite group of examinees’ abilities based on their item responses.
Journal of statistics and management systems 3(3), pp.251-268