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Error of Measurement and the Sensitivity of a Test of Significance

Published online by Cambridge University Press:  01 January 2025

J. P. Sutcliffe
J. P. Sutcliffe*
Affiliation:
University of Sydney
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Abstract

Implications of random error of measurement for the sensitivity of the F test of differences between means are elaborated. By considering the mathematical models appropriate to design situations involving true and fallible measures, it is shown how measurement error decreases the sensitivity of a test of significance. A method of reducing such loss of sensitivity is described and recommended for general practice.

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 1 , March 1958 , pp. 9 - 17
Copyright
Copyright © 1958 The Psychometric Society

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Footnotes

*

I wish to express my thanks in acknowledgement that the present form of this paper has benefited from editorial comment, and from the advice of Dr. H. Mulhall of the Department of Mathematics, University of Sydney.

References

Alexander, H. W. The estimation of reliability when several trials are available. Psychometrika, 1947, 12, 79–99CrossRefGoogle ScholarPubMed
Ehrenberg, A. S. C. The unbiased estimation of heterogeneous error variances. Biometrika, 1950, 37, 347–357CrossRefGoogle ScholarPubMed
Walker, Helen M. and Lev, J. Statistical inference, New York: Holt, 1953CrossRefGoogle Scholar