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A Course in Item Response Theory and Modeling with Stata

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Tenko Raykov and George A. Marcoulides

A Course in Item Response Theory and Modeling with Stata, by Tenko Raykov and George A. Marcoulides, is a comprehensive introduction to the concepts of item response theory (IRT) that includes numerous examples using Stata's powerful suite of IRT commands. The authors' unique development of IRT builds on the foundations of classical test theory, nonlinear factor analysis, and generalized linear models. The examples demonstrate how to fit many kinds of IRT models, including one-, two-, and three-parameter logistic models for binary items as well as nominal, ordinal, and hybrid models for polytomous items.

Chapters 1 and 2 define item response theory and review the statistical concepts and functions that are used to build item response models.

Chapters 3 and 4 discuss classical test theory, factor analysis, and generalized linear models, which provide the conceptual foundations of item response theory.

Chapters 5 and 6 introduce the fundamentals of item response theory and provide examples to illustrate the concepts.

Chapters 7 and 8 cover model fitting, estimation using maximum likelihood theory, item characteristic curves, and information functions.

Chapters 9 and 10 provide a detailed introduction to instrument construction and differential item functioning.

Chapters 11 and 12 introduce IRT models for nominal and ordinal responses as well as multi-dimensional IRT models.

A Course in Item Response Theory and Modeling with Stata is an outstanding text both for those who are new to IRT and for those who are familiar with IRT but new to fitting these models in Stata. It is a useful text for IRT courses and for researchers who use IRT.



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