An Introduction To The Rasch Model With Examples In R

An Introduction to the Rasch Model with Examples in R

An Introduction to the Rasch Model with Examples in R offers a clear, comprehensive introduction to the Rasch model along with practical examples in the free, open-source software R. It is accessible for readers without a background in psychometrics or statistics, while also providing detailed explanations of the relevant mathematical and statistical concepts for readers who want to gain a deeper understanding. Its worked examples in R demonstrate how to apply the methods to real-world examples and how to interpret the resulting output. In addition to motivating and presenting the Rasch model, the book covers different methods for parameter estimation and for assessing fit and differential item functioning (DIF). While focusing on the Rasch model, it also addresses a variety of other dichotomous and polytomous Rasch and item response theory (IRT) models, such as two-parameter logistic (2PL) and Partial Credit models, and extensions, including mixture Rasch models and computerized adaptive testing (CAT). Theory is presented in a self-contained way. All necessary mathematical and statistical background is contained in the chapters and appendices. The book also provides detailed, step-by-step instructions for getting started with R and using the eRm, mirt, TAM and rstan packages for fitting Rasch models.

Introduction to Rasch Measurement

Rasch Models for Measurement

Examines the use of Rasch measurement models in the social sciences. This lucid introduction first focuses on general principles, so the applications and algebra of the model can be readily understood. Andrich then connects Rasch models to common procedures for social science measurement. Avoiding polemics, Andrich′s presentation allows comparison between the Rasch models and other, better known measurement approaches. Rasch Models For Measurement concentrates on the simple logistic model, the most elementary and commonly used of the Rasch models. This excellent introduction uses one example from personality inventory throughout to provide continuity as the procedures and statistical arguments are explained. Essential reading for all researchers and students who use measurement models. "A valuable asset to those of us who are concerned with teaching measurement issues. . . . My only quibble is that we have had to wait so long for what is a clear, concise and very approachable introduction to a fairly complex area. . . . For its size this volume covers a lot of ground and it would seem to be an ideal book for postgraduate students with a special interest in psychometrics and professional psychologists who are concerned with measurement and assessment. . . . An ideal primer." --The Statistician "Rasch Models for Measurement is a concise introduction to the general principles, philosophy, and methods that underlie the approach to measurement developed by Georg Rasch (1960/1980). This book is a welcome addition to the Sage series on Quantitative Applications in the Social Sciences, or (as my students describe them) "the little green books." This series introduces methodological issues for individuals with limited backgrounds in statistics and mathematics, and Andrich has provided a useful resource for these individuals. . . . This book can be recommended for graduate students and colleagues who want a basic understanding of the Rasch model." --Applied Psychological Measurement