An Introduction to the Rasch Model With Examples in R
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Description
This book provides a concise introduction to the topic of the Rasch model, which has become relatively well-known since it was used in the PISA study. In addition to a clear presentation of the underlying theory, the book also offers a practical introduction to fitting Rasch models by means of the freely available statistical software R. Dedications Contents Preface Acknowledgment Part I: Theory 1 Introduction 2 The Rasch Model 3 Parameter Estimation 4 Test Evaluation Part II: Applications 5 Basic R Usage 6 R Package eRm 7 R Package mirt 8 R Package TAM 9 R Interface to Stan Summary of R Commands for eRm, mirt, and TAM Part III: Beyond the Rasch Model 10 Extensions to the Rasch Model 11 Models for Polytomous Responses 12 Outlook on Special Applications Appendices A Useful Mathematical Formulas B Statistical Background C Answers to the End of Chapter Questions References Author Index Index
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