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Wilcox, Rand R. – Educational and Psychological Measurement, 1981
The paper considers the problem of selecting the t best of k normal populations and simultaneously determining whether the selected populations have a mean larger than a known standard. Illustrations are given for selecting the t best of k examinees when the binomial error model applies. (Author)
Descriptors: Competitive Selection, Criterion Referenced Tests, Decision Making, Mathematical Models
Peer reviewed Peer reviewed
Wilcox, Rand R. – Educational and Psychological Measurement, 1983
This article provides unbiased estimates of the proportion of items in an item domain that an examinee would answer correctly if every item were attempted, when a closed sequential testing procedure is used. (Author)
Descriptors: Estimation (Mathematics), Psychometrics, Scores, Sequential Approach
Peer reviewed Peer reviewed
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