Critical to many science, technology, engineering, and mathematics (STEM) career paths is mathematical modeling--specifically, the creation and adaptation of mathematical models to solve problems in complex settings. Conventional standardized measures of mathematics achievement are not structured to directly assess this type of mathematical…

This paper attempts to provide some initial information about the use of a variety of item response theory (IRT) models in the item selection process; its purpose is to compare the information curves derived from the selection of items characterized by several different IRT models and their associated parameter estimation programs. These…

Three equating methods were compared in terms of magnitude of scale drift: equipercentile equating, linear equating, and item response theory (IRT) equating. A sample of approximately 2670 cases was selected for each pairing of a form of the Scholastic Aptitude Tests (SAT) and an anchor test. Of the two conventional equating methods,…

Two methods of computing test equating coefficients under item response theory by the following authors are compared: (1) B. H. Loyd and H. D. Hoover (1980); and (2) M. L. Stocking and F. M. Lord (1983). Conditions under which the method of Stocking and Lord is preferable are described. (SLD)

Three item response models were evaluated for estimating item parameters and equating test scores. The models, which approximated the traditional three-parameter model, included: (1) the Rasch one-parameter model, operationalized in the BICAL computer program; (2) an approximate three-parameter logistic model based on coarse group data divided…

Previous research has studied the effects of different methods of item option weighting on the reliability and concurrent and predictive validity of achievement tests. Increases in reliability are generally found, but with mixed results for validity. Several methods of producing option weights, (i.e., Guttman internal and external weights and…

The purpose of this study was to establish score equivalencies between the College Board Scholastic Aptitude Test (SAT) and its Spanish-language equivalent, the College Board Prueba de Aptitud Academica (PAA). The method of the study involved two phases: the selection of test items equally appropriate for Spanish- and English-speaking students for…

Research efforts have established that the Mantel-Haenszel procedure (MHP) is an effective method for detecting the presence of test items exhibiting differential item functioning (DIF). While the MHP has been advocated for situations where item response theory based methods may not be usable, recent findings have suggested that the performance of…