Computational Aspects of Psychometric Methods. With R

This book covers the computational aspects of psychometric methods involved in developing measurement instruments and analyzing measurement data in social sciences. It covers the main topics of psychometrics such as validity, reliability, item analysis, item response theory models, and computerized adaptive testing. The computational aspects comprise the statistical theory and models, comparison of estimation methods and algorithms, as well as an implementation with practical data examples in R and also in an interactive ShinyItemAnalysis application. Key Features:

Statistical models and estimation methods involved in psychometric research
Includes reproducible R code and examples with real datasets
Interactive implementation in ShinyItemAnalysis application

The book is targeted toward a wide range of researchers in the field of educational, psychological, and health-related measurements. It is also intended for those developing measurement instruments and for those collecting and analyzing data from behavioral measurements, who are searching for a deeper understanding of underlying models and further development of their analytical skills.

Authors

Patrícia Martinková
Adéla Hladká

Errata

First edition

Page 57: In "The graphical visualization of the calculation of this tetrachoric correlation coefficient, similar to Figure 3.1, may be obtained using the draf.tetra() function of the psych package"
should be: "using the draw.tetra() function of the psych package"

Page 98: model1 <- lmer(Score ~ 1 + (1|ID), data = AIBS, REML = TRUE))
should be: model1_REML <- lmer(Score ~ 1 + (1|ID), data = AIBS, REML = TRUE)

Page 107: (G_pxi <- hemp::gstudy(fit_2wayr))
should be: (G_pxi <- hemp::gstudy(model2_REML))

Page 180: fit_rasch_TAM2 <- tam.mml(resp = HCI[, 1:20], model = "Rasch")
should be: fit_rasch_TAM2 <- tam.mml(resp = HCI[, 1:20], irtmodel = "Rasch")

Page 201: CZmathS <- CZmaturaS[, grepl("^b", names(CZmatura))]
should be: CZmathS <- CZmaturaS[, grepl("^b", names(CZmaturaS))]

Thanks to Chen Jiexin and Andreas Kurz.

Additional materials

R code and datasets

Hints for exercises (TBA)

Slides (TBA)

Get the book