The Mathematics behind the Rasch Model

Mathematical FieldApplication 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

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