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van der Linden, Wim J. – Psychometrika, 1998
Dichotomous item response theory (IRT) models can be viewed as families of stochastically ordered distributions of responses to test items. This paper explores several properties of such distributions, especially those related to transfer to other distributions. Results are formulated as a series of theorems and corollaries that apply to…
Descriptors: Item Response Theory, Responses, Statistical Distributions, Test Items
Nandakumar, Ratna; Yu, Feng – 1994
DIMTEST is a statistical test procedure for assessing essential unidimensionality of binary test item responses. The test statistic T used for testing the null hypothesis of essential unidimensionality is a nonparametric statistic. That is, there is no particular parametric distribution assumed for the underlying ability distribution or for the…
Descriptors: Ability, Content Validity, Correlation, Nonparametric Statistics