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A Normal Approximation for Testing the Equality of Two Independent Chi-Square Variables

Published online by Cambridge University Press:  01 January 2025

Ralph B. D'Agostino  and
Bernard Rosman
Ralph B. D'Agostino
Affiliation:
Boston University
Bernard Rosman
Affiliation:
Boston University
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Abstract

A simple normal approximation is supplied to test the equality of two independent Chi-square variables. The approximation appears to be valid for degrees of freedom as small as two. Thus no new table of critical values is needed. The standard unit normal distribution tables are sufficient.

Type
Original Paper
Information
Psychometrika , Volume 36 , Issue 3 , September 1971 , pp. 251 - 252
Copyright
Copyright © 1971 The Psychometric Society

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References

Kendall, M. G. and Stuart, A. The advanced theory of statistics. I, 1958, New York: Hafner Publishing Co.Google Scholar
Knepp, D. L. and Entwisle, D. R. Testing significance of differences between two chi-squares. Psychometrika, 1969, 34, 331–333CrossRefGoogle Scholar