A Short Guide to Item Response Theory Models / by Gerhard Tutz.

Format:

Book

Author/Creator:

Tutz, Gerhard.

Series:

Statistics for Social and Behavioral Sciences, 2199-7365

Language:

English

Subjects (All):

Statistics.

Psychometrics.

Social sciences--Statistical methods.

Social sciences.

Statistical Theory and Methods.

Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy.

Applied Statistics.

Local Subjects:

Statistical Theory and Methods.

Psychometrics.

Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy.

Applied Statistics.

Physical Description:

1 online resource (369 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2025.

Summary:

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.

Contents:

Preface

Introduction

The Binary Rasch Model

Extensions of the Rasch Model and Alternative Binary Models

Ordinal Models

Extended Ordinal Models Accounting for Response Styles

The Thresholds Model a Common Framework for Discrete and Continuous Responses

Classical Test Theory

Response Models for Count Data

Tree-Based Item Response Models

Differential Item Functioning

Explanatory Item Response Models

R Packages

Examples

Bibliography.

ISBN:

9783031872716

OCLC:

1527724241