| Mathematical Field | Application in Rasch Model |
| Set Theory Arithmetic Probability Theory Measurement Theory Algebra Functions Statistics Calculus, Numerical methods |
Definition of data Counting responses Possible outcomes Invariance, Linearity Separability, Equation manipulation Logistic ogive, Characteristic curves Likelihood of the data, Sufficient statistics, Standard errors, Fit statistics Estimation equations |
The Mathematics behind the Rasch Model, P Alvarez … Rasch Measurement Transactions, 1990, 4:3 p. 112
| Rasch Publications | ||||
|---|---|---|---|---|
| Rasch Measurement Transactions (free, online) | Rasch Measurement research papers (free, online) | Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch | Applying the Rasch Model 3rd. Ed., Bond & Fox | Best Test Design, Wright & Stone |
| Rating Scale Analysis, Wright & Masters | Introduction to Rasch Measurement, E. Smith & R. Smith | Introduction to Many-Facet Rasch Measurement, Thomas Eckes | Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, George Engelhard, Jr. | Statistical Analyses for Language Testers, Rita Green |
| Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar | Journal of Applied Measurement | Rasch models for measurement, David Andrich | Constructing Measures, Mark Wilson | Rasch Analysis in the Human Sciences, Boone, Stave, Yale |
| in Spanish: | Análisis de Rasch para todos, Agustín Tristán | Mediciones, Posicionamientos y Diagnósticos Competitivos, Juan Ramón Oreja Rodríguez | ||
| Forum | Rasch Measurement Forum to discuss any Rasch-related topic |
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| Coming Rasch-related Events | |
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| June 23 - July 21, 2023, Fri.-Fri. | On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com |
| Aug. 11 - Sept. 8, 2023, Fri.-Fri. | On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com |
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