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
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