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Test Reliability Estimated by Analysis of Variance

Published online by Cambridge University Press:  01 January 2025

Cyril Hoyt
Cyril Hoyt*
Affiliation:
University of Minnesota
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Abstract

A formula for estimating the reliability of a test, based on the analysis of variance theory, is developed and illustrated. The data needed for the required computation are the number of correct responses to each item and the score for each subject. The results obtained from this formula are identical with those from one of the special cases of the Kuder-Richardson formulation. The relationships of the new procedure to other approaches to the problem are indicated.

Type
Original Paper
Information
Psychometrika , Volume 6 , Issue 3 , June 1941 , pp. 153 - 160
Copyright
Copyright © 1941 The Psychometric Society

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References

* Rulon, Phillip J. A simplified procedure for determining the reliability of a test by split-halves. Harvard Educational Review, 1939, 9, 99-103.

* Jackson, Robert W. Reliability of mental tests. British Journal of Psychology, 1939, 29, 267-87.

† Kuder, G. F. and Richardson, M. W. The theory of the estimation of test reliability. Psychometrika, 1937, 2, 151-60.

‡ Johnson, Palmer O. and Neyman J. Tests of certain linear hypotheses and their application to some educational problems. Statistical Research Memoirs, 1936, 1, 57-93.

§ Jackson, op. cit.

* Neyman, J. The Markoff Method and Markoff Theorem on Least Squares. Journal of the Roglal Statistical Society, 1934, 97, 593-594.

* Irwin, J. O. Mathematical theorems involved in analysis of variance. Journal of the Royal Statistical Society, 1931, 94, 284-300.