Article1979

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

32 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Statistical Distribution Estimation and Applications Statistical Methods and Bayesian Inference

Abstract

A modified beta binomial model is presented for use in analyzing ramdom guessing multiple choice tests and certain forms of 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. One, analogous to Duncan’s empirical Bayes posterior mean score, is appropriate for assessing the subject’s performance on that particular test. The second is more suitable for predicting outcomes on similar tests.

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1965A Strong True-Score Theory, with Applications 1962A Theoretical Distribution for Mental Test Scores 1975FORMULA SCORING AND NUMBER‐RIGHT SCORING 1 1976Statistical Consideration of Mastery Scores 1969Estimating True-Score Distributions in Psychological Testing (an Empirical Bayes Estimation Problem)1969Statistical theory for logistic mental test models with a prior distribution of ability 1936The Determination of Item Difficulty When Chance Success is a Factor 1959An Approach to Mental Test Theory

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1981Solving Measurement Problems with an Answer-Until-Correct Scoring Procedure 1982SOME NEW RESULTS ON AN ANSWER‐UNTIL‐CORRECT SCORING PROCEDURE 1986Test Theory and Psychometrika: The Past Twenty-Five Years

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