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A Significance Test for the Hypothesis that Two Variables Measure the Same Trait Except for Errors of Measurement

Published online by Cambridge University Press:  01 January 2025

Frederic M. Lord
Frederic M. Lord*
Affiliation:
Educational Testing Service
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Abstract

The likelihood-ratio significance test is derived for the hypothesis that after correction for attenuation two variables have a perfect correlation in the population from which the sample is drawn.

Type
Original Paper
Information
Psychometrika , Volume 22 , Issue 3 , September 1957 , pp. 207 - 220
Copyright
Copyright © 1957 The Psychometric Society

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Footnotes

*

The writer is indebted to Professor John W. Tukey for his valuable suggestions on an earlier draft.

References

Chernoff, H. On the distribution of the likelihood ratio. Ann. math. Stat., 1954, 25, 573–578CrossRefGoogle Scholar
Cramér, H. Mathematical methods of statistics, Princeton, N. J.: Princeton Univ. Press, 1946Google Scholar
Gulliksen, H. Theory of mental tests, New York: Wiley, 1950CrossRefGoogle Scholar
Kelley, T. L. Fundamentals of statistics, Cambridge: Harvard Univ. Press, 1947Google Scholar
Lord, F. M. A study of speed factors in tests and academic grades. Psychometrika, 1956, 20, 31–49CrossRefGoogle Scholar
Mood, A. B. Introduction to the theory of statistics, New York: McGraw-Hill, 1950Google Scholar
Peters, C. C. and VanVoorhis, W. R. Statistical procedures and their mathematical bases, New York: McGraw-Hill, 1940CrossRefGoogle Scholar
Votaw, D. F. Jr. Testing compound symmetry in a normal multivariate distribution. Ann. math. Stat., 1948, 19, 447–473CrossRefGoogle Scholar