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Comparing Examinees to a Control

Published online by Cambridge University Press:  01 January 2025

Rand R. Wilcox
Rand R. Wilcox*
Affiliation:
University of California at Los Angeles
*
Requests for reprints should be sent to Rand R. Wilcox, Center for the Study of Evaluation, UCLA Graduate School of Education, 145 Moore Hall, Los Angeles, CA 90024.
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Abstract

When comparing examinees to a control, the examiner usually does not know the probability of correctly classifying the examinees based on the number of items used and the number of examinees tested. Using ranking and selection techniques, a general framework is described for deriving a lower bound on this probability. We illustrate how these techniques can be applied to the binomial error model. New exact results are given for normal populations having unknown and unequal variances.

Keywords

setting standardsindifference zonestrong true-score models
Type
Original Paper
Information
Psychometrika , Volume 44 , Issue 1 , March 1979 , pp. 55 - 68
Copyright
Copyright © 1979 The Psychometric Society

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Footnotes

The work upon which this publication is based was performed pursuant to a grant [Grant No. NIE-G-76-0083] with the National Institute of Education, Department of Health, Education and Welfare. Points of view or opinions stated do not necessarily represent official NIE position or policy.

The author would like to thank Shelley Niwa for writing the computer programs used in this study.

References

Reference Note

Wilcox, R. R. Comparing normal populations to a control, 1977, Los Angeles: Center for the Study of Evaluation, University of California.Google Scholar

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