The question of equivalence between two or more groups is frequently of interest to many applied researchers. Equivalence testing is a statistical method designed to provide evidence that groups are comparable by demonstrating that the mean differences found between groups are small enough that they are considered practically unimportant. Few…

Standard errors and bias of unidimensional and multidimensional ability estimates were compared in a factorial, simulation design with two item response theory (IRT) approaches, two levels of test correlation (0.42 and 0.63), two sample sizes (500 and 1,000), and a hierarchical test content structure. Bias and standard errors of subtest scores…

Teacher-made mastery tests were administered in a classroom-sized sample to study their decision consistency. Decision-consistency of criterion-referenced tests is usually defined in terms of the proportion of examinees who are classified in the same way after two test administrations. Single-administration estimates of decision consistency were…