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Note on the cochran Q test

Resource type
Authors/contributors
Title
Note on the cochran Q test
Abstract
Cochran’s Q test for differences between related-sample percentages or proportions has generally been incorrectly presented in secondary sources. The most common mistake results from failure to recognize that rows containing only 1’s or only 0’s, i.e., only successes or only failures, do not affect the value of Q. The F test, however, is affected by such rows. The probabilities from the χ2 and F approximations are compared with the exact probabilities in three sets of data. A rule of thumb, based on extensive study of the distribution of 0 in small samples, is given as an aid in judging when the χ2 approximation is satisfactory for practical purposes. © Taylor & Francis Group, LLC.
Publication
Journal of the American Statistical Association
Date
1970
Volume
65
Issue
329
Pages
155-160
Journal Abbr
J. Am. Stat. Assoc.
Citation Key
pop00073
ISSN
01621459 (ISSN)
Language
English
Extra
24 citations (Crossref) [2023-10-31] Citation Key Alias: lens.org/029-237-766-585-590 tex.type: [object Object]
Citation
Tate, M. W., & Brown, S. M. (1970). Note on the cochran Q test. Journal of the American Statistical Association, 65(329), 155–160. https://doi.org/10.1080/01621459.1970.10481069