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Test Reliability and Correction for Attenuation

Published online by Cambridge University Press:  01 January 2025

Helmer G. Johnson*
Affiliation:
University of Minnesota

Abstract

Evidence is cited to show that specificity, or lack of equivalence, in the comparable forms of tests has a tendency to lower the value of reliability coefficients but has no tendency to lower the value of observed trait coefficients. This implies that the greater the lack of equivalence, the higher will be coefficients corrected for attenuation. Errors of measurement are supposed to reduce the magnitude of observed trait coefficients. Since specificity does not lower the correlation between two tests and since the split-half and equivalent-form reliability coefficients treat specificity as error, it follows that these two coefficients cannot legitimately be used in Spearman's correction-for-attenuation formula.

Type
Original Paper
Copyright
Copyright © 1950 Psychometric Society

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References

Cronbach, L. J. On estimates of test reliability. Jour. educ. Psychol., 1943, 34, 485494.CrossRefGoogle Scholar
Cronbach, L. J. Test ‘reliability’: Its meaning and determination. Psychometrika, 1947, 12, 115.CrossRefGoogle ScholarPubMed
Gulliksen, H. The relation of item difficulty and inter-item correlation to test variance and reliability. Psychometrika, 1945, 10, 7991.CrossRefGoogle Scholar
Guttman, L. A basis for analyzing test-retest reliability. Psychometrika, 1945, 10, 255282.CrossRefGoogle ScholarPubMed
Johnson, H. G. An empirical study of the influence of errors of measurement upon correlation. Amer. J. Psychol., 1944, 57, 521536.CrossRefGoogle Scholar
Kuder, G. F., and Richardson, M. W. The theory of the estimation of test reliability. Psychometrika, 1937, 2, 151160.CrossRefGoogle Scholar
Thouless, R. H. The effects of errors of measurement on correlation coefficients. Brit. J. Psychol., 1939, 29, 383403.Google Scholar