U.S. state educational testing programs administer tests to track student progress and hold schools accountable for educational outcomes. Methods from item response theory, especially Rasch models, are usually used to equate different forms of a test. The most popular method for estimating Rasch models yields inconsistent estimates and relies on…

A method for ordering persons and items when all responses are ordinal was developed and applied to several sets of questionnaire data (from undergraduates) and one set of archeological data. The method provides a possible nonparametric treatment of data usually treated by more traditional psychometric methods. (SLD)