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A Note on the Use of Mood's Likelihood Ratio Test for item Analyses Involving 2 × 2 Tables with Small Samples

Published online by Cambridge University Press:  01 January 2025

Irving B. Weiner
Irving B. Weiner*
Affiliation:
University of Michigan*
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Abstract

Mood's likelihood ratio test is generally considered an unreliable x2 approximation in 2 × 2 contingency tables containing expected cell frequencies less than five. Probability values were computed for 60 such tables as part of an item analysis for two 30-item alternate forms of a measure. The rank orders of the items, from best to worst differentiators, as determined separately by Mood's test and by Fisher's exact test correlated .97 for one form and .96 for the other.

Type
Original Paper
Information
Psychometrika , Volume 24 , Issue 4 , December 1959 , pp. 371 - 372
Copyright
Copyright © 1959 The Psychometric Society

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Footnotes

*

Now at University of Rochester School of Medicine.

References

Cochran, W. G. Some methods of strengthening the common ç2 tests. Biometrics, 1954, 10, 417–451.CrossRefGoogle Scholar
Mood, A. F. Introduction to the theory of statistics, New York: McGraw-Hill, 1954.Google Scholar