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Relating Tests Given to Different Samples

Published online by Cambridge University Press:  01 January 2025

Donald B. Rubin  and
Dorothy Thayer
Donald B. Rubin*
Affiliation:
Educational Testing Service
Dorothy Thayer
Affiliation:
Educational Testing Service
*
Requests for reprints should be sent to Donald B. Rubin, Educational Testing Service, Princeton, New Jersey 08540.
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Abstract

Suppose a collection of standard tests is given to all subjects in a random sample, but a different new test is given to each group of subjects in nonoverlapping subsamples. A simple method is developed for displaying the information that the data set contains about the correlational structure of the new tests. This is possible to some extent, even though each subject takes only one new test. The method uses plausible values of the partial correlations among the new tests given the standard tests in order to generate plausible simple correlations among the new tests and plausible multiple correlations between composites of the new tests and the standard tests. The real data example included suggests that the method can be useful in practical problems.

Keywords

correlationsincomplete datamissing datainestimable parametersmaximum likelihood estimation
Type
Original Paper
Information
Psychometrika , Volume 43 , Issue 1 , March 1978 , pp. 3 - 10
Copyright
Copyright © 1978 The Psychometric Society

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References

Reference Note

Beaton, A. E. The use of special matrix operations in statistical calculus, 1964, Princeton, N. J.: Educational Testing Service.Google Scholar

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