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A Study of Methods for Estimating Distributions of Test Scores.

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Cope, Ronald T.; Kolen, Michael J. – 1987

This study compared five density estimation techniques applied to samples from a population of 272,244 examinees' ACT English Usage and Mathematics Usage raw scores. Unsmoothed frequencies, kernel method, negative hypergeometric, four-parameter beta compound binomial, and Cureton-Tukey methods were applied to 500 replications of random samples of…

Descriptors: College Entrance Examinations, Estimation (Mathematics), Higher Education, Mathematical Models

The Discriminating Power of Items that Measure More than One Dimension.

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Reckase, Mark D. – 1986

The work presented in this paper defined conceptually the concepts of multidimensional discrimination and information, derived mathematical expressions for the concepts for a particular multidimensional item response theory (IRT) model, and applied the concepts to actual test data. Multidimensional discrimination was defined as a function of the…

Descriptors: College Entrance Examinations, Difficulty Level, Discriminant Analysis, Item Analysis