A Short Guide To Item Response Theory Models


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A Short Guide to Item Response Theory Models


A Short Guide to Item Response Theory Models

Author: Gerhard Tutz

language: en

Publisher: Springer Nature

Release Date: 2025-08-02


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This book presents foundational concepts, essential principles, and practical applications of Item Response Theory (IRT). It provides a structured survey of diverse models that have been put forth, emphasizing both their differences and commonalities. The main focus is on modern latent trait theory models which provide measurement tools that clearly separate between person abilities and item parameters. The topics covered include the binary Rasch model, its extensions and alternative binary models, ordinal models and their extensions that account for response styles, the thresholds model, classical test theory, response models for count data, differential item functioning, and explanatory item response models. Tree-based item response models, typically not found in classical IRT textbooks, are also addressed. Applications of the models are illustrated on several data sets from differing areas, showing how models can be fitted and compared. All examples have been computed using R. Code snippets are provided, and the full R code for most of the examples is available online. The book is aimed at graduate students, applied statisticians, and researchers working in psychometrics, educators, and anyone curious about modeling strategies that enhance the precision and validity of their measurement tools. It serves as an introductory guide for beginners while also providing a resource for those seeking an overview of the plethora of available IRT models.

Item Response Theory for Creativity Measurement


Item Response Theory for Creativity Measurement

Author: Nils Myszkowski

language: en

Publisher: Cambridge University Press

Release Date: 2024-03-14


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This Element aims to provide an overview of classical test theory, an introduction to IRT and its core concepts, a practical strategic approach to IRT modeling, example applications of this strategy from creativity research and the associated advantages and ideas for future work.

A Course in Item Response Theory and Modeling with Stata


A Course in Item Response Theory and Modeling with Stata

Author: Tenko Raykov

language: en

Publisher:

Release Date: 2018


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Over the past several decades, item response theory (IRT) and item response modeling (IRM) have become increasingly popular in the behavioral, educational, social, business, marketing, clinical, and health sciences. In this book, Raykov and Marcoulides begin with a nontraditional approach to IRT and IRM that is based on their connections to classical test theory, (nonlinear) factor analysis, generalized linear modeling, and logistic regression. Application-oriented discussions follow next. These cover the one-, two-, and three-parameter logistic models, polytomous item response models (with nominal or ordinal items), item and test information functions, instrument construction and development, hybrid models, differential item functioning, and an introduction to multidimensional IRT and IRM. The pertinent analytic and modeling capabilities of Stata are thoroughly discussed, highlighted, and illustrated on empirical examples from behavioral and social research.