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Educational and Psychological Measurement
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Determination of the Number of Items and Passing Score in a Mastery Test

Louis M. Hsu

Fairleigh Dickinson University

Wilcox (1976) has recently recommended the use of binomial tables to determine the minimum number of items (n) and the minimum passing score (xc) for a mastery test, which would yield acceptable risks of misclassifying an examinee. Fhaner (1974) described another method of estimating n and xc, which is based on normal approximation to binomial distributions. The present paper describes a method of estimating n and xc when n is too large to use Wilcox's binomial-table-scanning method, and when the parameters {Pi}1 and {Pi}2 of the relevant binomial distributions, are either too small or too large to justify the use of Fhaner's normal approximation method.

Educational and Psychological Measurement, Vol. 40, No. 3, 709-714 (1980)
DOI: 10.1177/001316448004000314
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