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Wilcox, Rand R.3
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Wilcox, Rand R. – Educational and Psychological Measurement, 1982
Results in the engineering literature on "k out of n system reliability" can be used to characterize tests based on estimates of the probability of correctly determining whether the examinee knows the correct response. In particular, the minimum number of distractors required for multiple-choice tests can be empirically determined.…
Descriptors: Achievement Tests, Mathematical Models, Multiple Choice Tests, Test Format
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Wilcox, Rand R. – Educational and Psychological Measurement, 1979
The classical estimate of a binomial probability function is to estimate its mean in the usual manner and to substitute the results in the appropriate expression. Two alternative estimation procedures are described and examined. Emphasis is given to the single administration estimate of the mastery test reliability. (Author/CTM)
Descriptors: Cutting Scores, Mastery Tests, Probability, Scores
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Wilcox, Rand R. – Educational and Psychological Measurement, 1979
For some situations the beta-binomial distribution might be used to describe the marginal distribution of test scores for a particular population of examinees. Several different methods of approximating the maximum likelihood estimate were investigated, and it was found that the Newton-Raphson method should be used when it yields admissable…
Descriptors: Criterion Referenced Tests, Maximum Likelihood Statistics, Measurement, Monte Carlo Methods