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Item response theory and test theory

9 articles

Classical test theory

Classical test theory (CTT) is a psychometric framework modeling an observed test score as true score plus random error, used to analyze reliability and validity of tests.

Equating (psychometrics)

Equating (psychometrics) is a method for adjusting scores on test forms that differ in difficulty. This enables scores to be used interchangeably as if from the same test.

Graded response model

The graded response model, or GRM, is an item response theory model for ordered response categories such as Likert scales, introduced by Fumiko Samejima in 1968.

Item analysis

Item analysis is a psychometric method for evaluating individual test questions using statistics such as difficulty, discrimination, and distractor performance, so test developers can retain, revise, or reject items.

Mokken scale

Mokken scale analysis is a nonparametric item response theory procedure testing whether dichotomous or polytomous items form an ordinal, hierarchical scale, using scalability coefficients and monotonicity assumptions.

Multidimensional item response theory

Multidimensional item response theory (MIRT) is a family of psychometric statistical models relating test responses to multiple latent traits simultaneously, used in educational assessment and adaptive testing.

Partial credit model

The partial credit model is a Rasch item response theory model for scoring responses in two or more ordered categories, introduced by Geoff N. Masters in Psychometrika in 1982.

Rasch model

The Rasch model, also called Rasch analysis, is a psychometric item-response model that converts the difference between a person's ability and an item's difficulty into the probability of a correct response.

Subitizing

Subitizing, also known as subitization, is the rapid and accurate determination of the number of items in a small set, roughly four or fewer, without counting; the term was coined in 1949.