The Mathematics behind the Rasch Model, P Alvarez

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


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