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A simulation study of the size and power of Cochran’s Q versus the standard Chi-square test for testing the equality of correlated proportions

Master of Science / Department of Statistics / Paul I. Nelson / The standard Chi-square test for the equality of proportions of positive responses to c
specified binary questions is valid when the observed responses arise from independent random
samples of units. When the responses to all c questions are recorded on the same unit, a situation
called correlated proportions, the assumptions under which this test is derived are no longer
valid. Under the additional assumption of compound symmetry, the Cochran-Q test is a valid
test for the equality of proportions of positive responses. The purpose of this report is to use
simulation to examine and compare the performance of the Cochran-Q test and the standard Chisquare
test when testing for the equality of correlated proportions. It is found that the Cochran-Q
test is superior to the Chi-square test in terms of size and power, especially when the common
correlation among the binary responses is large.

Identiferoai:union.ndltd.org:KSU/oai:krex.k-state.edu:2097/3881
Date January 1900
CreatorsGayle, Suelen S.
PublisherKansas State University
Source SetsK-State Research Exchange
Languageen_US
Detected LanguageEnglish
TypeReport

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