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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, 1979
A problem of considerable importance in certain educational settings is determining how many items to include on a mastery test. Applying ranking and selection procedures, a solution is given which includes as a special case all existing single-stage, non-Bayesian solutions based on a strong true-score model. (Author/JKS)
Descriptors: Criterion Referenced Tests, Mastery Tests, Nonparametric Statistics, Probability
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
Peer reviewed Peer reviewed
Wilcox, Rand R. – Educational and Psychological Measurement, 1982
When determining criterion-referenced test length, problems of guessing are shown to be more serious than expected. A new method of scoring is presented that corrects for guessing without assuming that guessing is random. Empirical investigations of the procedure are examined. Test length can be substantially reduced. (Author/CM)
Descriptors: Criterion Referenced Tests, Guessing (Tests), Multiple Choice Tests, Scoring
Peer reviewed Peer reviewed
Wilcox, Rand R. – Educational and Psychological Measurement, 1981
This paper describes and compares procedures for estimating the reliability of proficiency tests that are scored with latent structure models. Results suggest that the predictive estimate is the most accurate of the procedures. (Author/BW)
Descriptors: Criterion Referenced Tests, Scoring, Test Reliability