Frank Baker's "Basics of Item Response Theory"

Dennis Roberts writes: "ericae.net/irt/baker/ is a link to the full text of Frank Baker's classic little book on Basics of Item Response Theory (1985) ... with his old software included! This is provided by the ERIC Clearinghouse on Assessment and Evaluation."

The complete text of the revised and updated 2001 edition can be studied one screen at a time, or the entire book can be downloaded as one pdf file.

This book views the "Rasch or One-Parameter, Logistic Model" as a special case of Birnbaum's 3-PL model. Here is what is stated on page 25:

"The next model of interest was first published by the Danish mathematician Georg Rasch in the 1960s. Rasch approached the analysis of test data from a probability theory point of view. Although he started from a very different frame of reference, the resultant item characteristic curve model was a logistic model. ... Under this model, the discrimination parameter of the two-parameter logistic model is fixed at a value of a = 1.0 for all items; only the difficulty parameter can take on different values. Because of this, the Rasch model is often referred to as the one-parameter logistic model.

"The equation for the Rasch model is given by the following:

"where: b is the difficulty parameter and θ is the ability level.

"It should be noted that a discrimination parameter ["1"] was used in [the] equation, but because it always has a value of 1.0, it usually is not shown in the formula."

[Thus Baker's presentation of the Rasch model follows IRT conventions, but somewhat idiosyncratically.]

Frank Baker - Basics of Item Response Theory. Baker F. … 16:1 p.869


Frank Baker - Basics of Item Response Theory. Baker F. … Rasch Measurement Transactions, 2002, 16:1 p.869



Rasch-Related Resources: Rasch Measurement YouTube Channel
Rasch Measurement Transactions & Rasch Measurement research papers - free An Introduction to the Rasch Model with Examples in R (eRm, etc.), Debelak, Strobl, Zeigenfuse Rasch Measurement Theory Analysis in R, Wind, Hua Applying the Rasch Model in Social Sciences Using R, Lamprianou El modelo métrico de Rasch: Fundamentación, implementación e interpretación de la medida en ciencias sociales (Spanish Edition), Manuel González-Montesinos M.
Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch Rasch Models for Measurement, David Andrich Constructing Measures, Mark Wilson Best Test Design - free, Wright & Stone
Rating Scale Analysis - free, Wright & Masters
Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias Diseño de Mejores Pruebas - free, Spanish Best Test Design A Course in Rasch Measurement Theory, Andrich, Marais Rasch Models in Health, Christensen, Kreiner, Mesba Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen
Rasch Books and Publications: Winsteps and Facets
Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale Appliquer le modèle de Rasch: Défis et pistes de solution (Winsteps) E. Dionne, S. Béland
Introduction to Many-Facet Rasch Measurement (Facets), Thomas Eckes Rasch Models for Solving Measurement Problems (Facets), George Engelhard, Jr. & Jue Wang Statistical Analyses for Language Testers (Facets), Rita Green Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments (Facets), George Engelhard, Jr. & Stefanie Wind Aplicação do Modelo de Rasch (Português), de Bond, Trevor G., Fox, Christine M
Exploring Rating Scale Functioning for Survey Research (R, Facets), Stefanie Wind Rasch Measurement: Applications, Khine Winsteps Tutorials - free
Facets Tutorials - free
Many-Facet Rasch Measurement (Facets) - free, J.M. Linacre Fairness, Justice and Language Assessment (Winsteps, Facets), McNamara, Knoch, Fan

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