Generalized Kernel Equating with Applications in R

Marie Wiberg (Umea University), Jorge Gonzalez, Alina A. von Davier (Educational Testing Service, USA)

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English

CRC Press
01 November 2024

Psychological methodology

Series: Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences

Generalized Kernel Equating is a comprehensive guide for statisticians, psychometricians, and educational researchers aiming to master test score equating. This book introduces the Generalized Kernel Equating (GKE) framework, providing the necessary tools and methodologies for accurate and fair score comparisons.

The book presents test score equating as a statistical problem and covers all commonly used data collection designs. It details the five steps of the GKE framework: presmoothing, estimating score probabilities, continuization, equating transformation, and evaluating the equating transformation. Various presmoothing strategies are explored, including log-linear models, item response theory models, beta4 models, and discrete kernel estimators. The estimation of score probabilities when using IRT models is described and Gaussian kernel continuization is extended to other kernels such as uniform, logistic, epanechnikov and adaptive kernels. Several bandwidth selection methods are described. The kernel equating transformation and variants of it are defined, and both equating-specific and statistical measures for evaluating equating transformations are included. Real data examples, guiding readers through the GKE steps with detailed R code and explanations are provided. Readers are equipped with an advanced knowledge and practical skills for implementing test score equating methods.

By: Marie Wiberg (Umea University), Jorge Gonzalez, Alina A. von Davier (Educational Testing Service, USA)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 660g
ISBN: 9781138196988
ISBN 10: 1138196983
Series: Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences
Pages: 272
Publication Date: 01 November 2024
Audience: Professional and scholarly , General/trade , Undergraduate , ELT Advanced
Format: Hardback
Publisher's Status: Forthcoming

Marie Wiberg is professor in Statistics with specialty in psychometrics at Umeå University in Sweden. She is the author of more than 60 peer-review research papers and have edited nine books. Her research interests include test equating, large-scale assessments, parametric and nonparametric item response theory and educational measurement and psychometrics in general. Jorge González is associate professor at the Faculty of Mathematics, Pontificia Universidad Católica de Chile. He is author of a book and several publications on test equating. His research is focused on statistical modeling of data arising from the social sciences, particularly on the fields of test theory, educational measurement, and psychometrics. Alina A. von Davier is the chief of assessment at Duolingo, and the Founder of EdAstra Tech. She has received several awards, including the ATP’s Career Award, the AERA for signification contribution to educational measurement and research methodology award, and the NCME annual award for scientific contributions. Her research is in the field of computational psychometrics, machine learning, assessment, and education.