Introduction to the Rasch Model with Examples in R

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2PL Model
A01=Carolin Strobl
A01=Matthew D. Zeigenfuse
A01=Rudolf Debelak
advanced R psychometrics tutorial
Author_Carolin Strobl
Author_Matthew D. Zeigenfuse
Author_Rudolf Debelak
Bayesian estimation
Category=JMBT
Conditional Likelihood
Confidence Ellipses
Data Set
DIF
Differential Item Functioning
educational measurement
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_society-politics
eRm
Estimated Item Parameters
Goodness of fit
Graphical Test
IRT Model
item calibration
Item Pairs
Item Parameters
Item Response Function
Item response theory
latent trait estimation
Latent variables
Marginal Maximum Likelihood
MCMC Sample
Measurment
mirt
Mixture Rasch Model
MML
Outfit Statistics
Parameter estimation
Partial Credit Model
Person Item Map
Person Parameter Estimate
Person Parameters
Posterior Distribution
Posterior Predictive Checks
Posterior Predictive Distribution
Psychological testing
psychometric analysis
Psychometrics
Rasch Model
Stan
statistical modeling
TAM
test reliability
Test Takers
Testing

Product details

  • ISBN 9781032265582
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 07 Jun 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

Rudolf Debelak is a Senior Researcher at the University of Zurich, Switzerland. His research interests include psychometrics, with a focus on item response theory, machine learning, and the mathematical and statistical foundations of psychological research methods. Before working in academia, he was employed in the psychological test industry for several years.

Carolin Strobl is a Professor of Psychological Methods at the University of Zurich, Switzerland. Her research spans psychometrics, statistics and machine learning. She has been teaching introductory and advanced courses on statistics and psychometrics for many years and received the 2018 teaching award from her department’s student council.

Matthew Zeigenfuse currently works as a data scientist. He spent many years working in academia, researching and teaching cognitive science, psychometrics and Bayesian statistics in both the US and Switzerland.

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