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Mental Test Data and Contingency Tables.

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Mellenbergh, Gideon J.; Vijn, Pieter – 1980

Data are summarized in Scheuneman's Score x Group x Response frequency table in order to investigate item bias. The data can arise from two different sampling models: (1) multinomial sampling in which a fixed sample size is used and the responses are cross-classified according to score, group, and response; and (2) product-multinomial sampling in…

Descriptors: Black Students, Cognitive Measurement, Foreign Countries, Latent Trait Theory

Loglinear Multidimensional IRT Models for Polytomously Scored Items. Project Psychometric Aspects of Item Banking No. 41. Research Report 88-17.

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Kelderman, Henk – 1988

A loglinear item response theory (IRT) model is proposed that relates polytomously scored item responses to a multidimensional latent space. Each item may have a different response function where each item response may be explained by one or more latent traits. Item response functions may follow a partial credit model (D. Andrich, 1978; and G. N.…

Descriptors: Early Childhood Education, Equations (Mathematics), Estimation (Mathematics), Foreign Countries