In the theory of measurement, there are two competing measurement frameworks, classical test theory and item response theory. The present study empirically examined, using large scale norm-referenced data, how the item and person statistics behaved under the two competing measurement frameworks. The study focused on two central themes: (1) How comparable are the item and person statistics derived from the item response and classical test framework? (2) How invariant are the item statistics from each measurement framework across examinee samples? The findings indicate that, in a variety of conditions, the two measurement frameworks produce similar item and person statistics. Furthermore, although proponents of item response theory have centered their arguments for its use on the property of invariance, classical test theory statistics, for this sample, are just as invariant.

In the theory of measurement, there are two competing measurement frameworks, classical test theory and item response theory. The present study empirically examined, using large scale norm-referenced data, how the item and person statistics behaved under the two competing measurement frameworks. The study focused on two central themes: (1) How comparable are the item and person statistics derived from the item response and classical test framework? (2) How invariant are the item statistics from each measurement framework across examinee samples? The findings indicate that, in a variety of conditions, the two measurement frameworks produce similar item and person statistics. Furthermore, although proponents of item response theory have centered their arguments for its use on the property of invariance, classical test theory statistics, for this sample, are just as invariant.