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 Books and Publications
Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, 2nd Edn. George Engelhard, Jr. & Jue Wang	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
Introduction to Many-Facet Rasch Measurement (Facets), Thomas Eckes	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	Appliquer le modèle de Rasch: Défis et pistes de solution (Winsteps) E. Dionne, S. Béland
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
Other 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

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