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Multiple Choice Tests	3
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Guessing (Tests)	2
Mathematical Models	2
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Psychometrika

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Abrahamowicz, Michal	1
Brockway, George	1
Morrison, Donald G.	1
Ramsay, James O.	1
Samejima, Fumiko	1

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A Comment On Birnbaum's Three-Parameter Logistic Model In The Latent Trait Theory

Peer reviewed

Samejima, Fumiko – Psychometrika, 1973

The three-parameter logistic model by Birnbaum for the multiple-choice item in the latent trait theory is considered with respect to the item response information function and the unique maximum condition. (Editor/RK)

Descriptors: Guessing (Tests), Models, Multiple Choice Tests, Probability

A Modified Beta Binomial Model with Applications to Multiple Choice and Taste Tests.

Peer reviewed

Morrison, Donald G.; Brockway, George – Psychometrika, 1979

A modified beta binomial model is presented for use in analyzing random guessing multiple choice tests and taste tests. Detection probabilities for each item are distributed beta across the population subjects. Properties for the observable distribution of correct responses are derived. Two concepts of true score estimates are presented.…

Descriptors: Bayesian Statistics, Guessing (Tests), Mathematical Models, Multiple Choice Tests

Multicategorical Spline Model for Item Response Theory.

Peer reviewed

Abrahamowicz, Michal; Ramsay, James O. – Psychometrika, 1992

A nonparametric multicategorical model for multiple-choice data is proposed as an extension of the binary spline model of J. O. Ramsay and M. Abrahamowicz (1989). Results of two Monte Carlo studies illustrate the model, which approximates probability functions by rational splines. (SLD)

Descriptors: Equations (Mathematics), Estimation (Mathematics), Graphs, Item Analysis