Rasch Estimation Demonstration Spreadsheet

2003. Prepared by Mark H. Moulton, Ph.D., Educational Data Systems, www.eddata.com

This Excel file was developed to help students and practitioners of the Rasch Model get a simple and intuitive look at what goes on "under the hood" of most Rasch programs for dichotomous data. The Excel workbook shows all the matrices, formulas, and iterations needed to understand how person abilities, item difficulties, standard errors, expected values, and misfit statistics are computed. It also allows the user to perform simple experiments to see the effects of missing and misfitting data. You will find that, beneath the sophistication and apparent inscrutability of modern Rasch software, the model and its estimation algorithm are surprisingly easy to understand.

The workbook most closely emulates the JMLE/UCON algorithm described by Ben Wright and Mark Stone in Best Test Design (1979).

The spreadsheet is fully documented using Excel comments, which may be turned on and off as desired.

Link to download for dichotomous spreadsheet: moulton.xls

Link to equivalent spreadsheet for polytomous (rating-scale) data: poly.xls

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Available Rasch software is listed at www.rasch.org/software.htm.


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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 Journal of Applied Measurement
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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