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On Kristof’s Test for a Linear Relation between True Scores of two Measures

Published online by Cambridge University Press:  01 January 2025

J. D. Healy
J. D. Healy*
Affiliation:
Bell Laboratories
*
Requests for reprints should be sent to J. D. Heaty, Bell Laboratories, Holmdel, New Jersey 07733
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Abstract

The hypothesis that two variables have a perfect disattenuated correlation and hence measure the same trait, except for errors of measurement, is discussed. Equivalently, the underlying variables, the true scores, are related linearly. We show that several previously proposed ad hoc tests are in fact likelihood ratio tests. The cases when the linear relation is specified and when it is unspecified are both discussed.

Keywords

likelihood ratio testsunspecified linear relationdisattenuated correlation
Type
Original Paper
Information
Psychometrika , Volume 44 , Issue 2 , June 1979 , pp. 235 - 238
Copyright
Copyright © 1979 The Psychometric Society

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Footnotes

This work was done while the author was at Purdue University under Air Force Grant A FOSR-72-2350B.

References

Reference Note

Healy, J. D. Estimation and tests for unknown linear restrictions in multivariate linear models, 1976, Lafayette, Indiana: Purdue University.CrossRefGoogle Scholar

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