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Wilcox, Rand R. – Psychometrika, 1979
When comparing examinees to a control group or person, the examiner usually does not know the probability of correct classification based on the number of items used and the number of people tested. Using ranking and selection techniques, a framework is described for deriving a lower bound on this probability. (Author/JKS)
Descriptors: Criterion Referenced Tests, Cutting Scores, Probability, Psychometrics

Wilcox, Rand R. – Psychometrika, 1979
The problem of determining an optimal passing score for a mastery test is discussed, when the purpose of the test is to predict success on an external criterion. For the case of constant losses for the two possible error types, a method for determining passing scores is derived. (Author/JKS)
Descriptors: Criterion Referenced Tests, Cutting Scores, Mastery Tests, Mathematical Models

Brennan, Robert L.; Kane, Michael T. – Psychometrika, 1977
Using the assumption of randomly parallel tests and concepts from generalizability theory, three signal/noise ratios for domain-referenced tests are developed, discussed, and compared. The three ratios have the same noise but different signals depending upon the kind of decision to be made as a result of measurement. (Author/JKS)
Descriptors: Comparative Analysis, Criterion Referenced Tests, Error of Measurement, Mathematical Models