A Comparative Analysis of Two Order Analytic Techniques: Assessing Item Hierarchies in Real and Simulated Data.

Two order theoretic techniques v-re presented and compared. Ordering theory of Krus and Bart (1974) and an extended Takeya's item relational structure analysis (IRS) by Tatsuoka and Tatsuoka (1981) were used to extract the hierarchical item structure from three datasets. Directed graphs were constructed and both omethods were assessed as to, how well they reproduced the theoretical structure of the data. It was discovered that the Krus and Bart (1974) procedure more adequately represented the complex interrelationships among test data than did the extended IRS method. Simulated data was found to present many problems and to be inappropriate for research in this area.