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called correlated proportions, the assumptions under which this test is derived are no longer
valid.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.
| Identifer | oai:union.ndltd.org:KSU/oai:krex.k-state.edu:2097/3881 |
| Date | January 1900 |
| Creators | Gayle, Suelen S. |
| Publisher | Kansas State University |
| Source Sets | K-State Research Exchange |
| Language | en_US |
| Detected Language | English |
| Type | Report |
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