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Adequacy of Asymptotic Normal Theory in Estimating Reliability for Mastery Tests Based on the Beta-Binomial Model

University of South Carolina

Simulated data based on five test score distributions indicate that a slight modification of the asymptotic normal theory for the estimation of the p and kappa indices in mastery testing will provide results which are in close agreement with those based on small samples from the beta-binomial distribution. The modification is achieved through the multiplication of the asymptotic standard errors of estimate by the constant 1 + 1/m where m is the sample size.

Key Words: Mastery test reliability • decision consistency • estimates of decision consistency • beta-binomial model

Journal of Educational and Behavioral Statistics, Vol. 6, No. 3, 257-266 (1981)
DOI: 10.3102/10769986006003257


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