Applying Test Equating Methods

1. Front Matter

   Pages i-xxvi

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2. General Equating Theory Background

   • Jorge González, Marie Wiberg

   Pages 1-18

3. Preparing Score Distributions

   • Jorge González, Marie Wiberg

   Pages 19-42

4. Traditional Equating Methods

   • Jorge González, Marie Wiberg

   Pages 43-72

5. Kernel Equating

   • Jorge González, Marie Wiberg

   Pages 73-110

6. Item Response Theory Equating

   • Jorge González, Marie Wiberg

   Pages 111-136

7. Local Equating

   • Jorge González, Marie Wiberg

   Pages 137-155

8. Recent Developments in Equating

   • Jorge González, Marie Wiberg

   Pages 157-178

9. Back Matter

   Pages 179-196

   PDF

This book describes how to use test equating methods in practice. The non-commercial software R is used throughout the book to illustrate how to perform different equating methods when scores data are collected under different data collection designs, such as equivalent groups design, single group design, counterbalanced design and non equivalent groups with anchor test design. The R packages equate, kequate and SNSequate, among others, are used to practically illustrate the different methods, while simulated and real data sets illustrate how the methods are conducted with the program R. The book covers traditional equating methods including, mean and linear equating, frequency estimation equating and chain equating, as well as modern equating methods such as kernel equating, local equating and combinations of these. It also offers chapters on observed and true score item response theory equating and discusses recent developments within the equating field. More specifically it covers the issue of including covariates within the equating process, the use of different kernels and ways of selecting bandwidths in kernel equating, and the Bayesian nonparametric estimation of equating functions. It also illustrates how to evaluate equating in practice using simulation and different equating specific measures such as the standard error of equating, percent relative error, different that matters and others.

• Test equating using R
• Equating data collection designs
• Presmoothing score distributions
• Polynomial log-linear models for presmoothing
• Traditional equating methods
• Kernel equating using R
• Bandwidth selection in kernel equating
• IRT equating using R
• Item parameter linking
• Local equating using R
• IRT kernel equating
• Assessment of equating
• Kernel equating under the NEC design
• Bayesian equating
• Equating using R
• R code for equating
• Concurrent calibration
• Fixed item parameter calibration
• Comparison of equating methods
• Equating with covariates

• Faculty of Mathematics, Pontificia Universidad Católica de Chile, Santiago, Chile

  Jorge González

• Department of Statistics, Umeå School of Business and Economics, Umeå University, Umeå, Sweden

  Marie Wiberg

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