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Ackerman, Terry A. – 1987
One of the important underlying assumptions of all item response theory (IRT) models is that of local independence. This assumption requires that the response to an item on a test not be influenced by the response to any other items. This assumption is often taken for granted, with little or no scrutiny of the response process required to answer…
Descriptors: Computer Software, Correlation, Estimation (Mathematics), Latent Trait Theory
Ackerman, Terry A. – 1987
The purpose of this study was to investigate the effect of using multidimensional items in a computer adaptive test (CAT) setting which assumes a unidimensional item response theory (IRT) framework. Previous research has suggested that the composite of multidimensional abilities being estimated by a unidimensional IRT model is not constant…
Descriptors: Adaptive Testing, College Entrance Examinations, Computer Assisted Testing, Computer Simulation
Reckase, Mark D.; McKinley, Robert L. – 1982
This paper reviews the existing multidimensional item response theory (IRT) models and demonstrates how one of the models can be applied to estimation of abilities from a test measuring more than one dimension. The purposes of this paper were threefold. First, the fundamental concepts required when considering multidimensional models for the…
Descriptors: Estimation (Mathematics), Higher Education, Latent Trait Theory, Mathematical Models
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
Merritt, Frank M.; McCallum, Steve – 1983
The Luria-Das Information Processing Model of human learning holds that information is analysed and coded within the brain in either a simultaneous or a successive fashion. Simultaneous integration refers to the synthesis of separate elements into groups, often with spatial characteristics; successive integration means that information is…
Descriptors: Academic Achievement, Achievement Rating, Cognitive Ability, Cognitive Measurement
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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
Reckase, Mark D.; Ackerman, Terry A. – 1986
This paper demonstrates the relationship between the concept of unidimensionality and direction of an item in a multidimensional space. The basic premise is that if items that measure in the same direction are combined to form a test, that test will meet the item response theory requirements of unidimensionality. This will be true even if the…
Descriptors: Achievement Tests, College Entrance Examinations, Estimation (Mathematics), Goodness of Fit