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.