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
dc.contributor.author | Gayle, Suelen S. | |
dc.date.accessioned | 2010-05-04T13:49:47Z | |
dc.date.available | 2010-05-04T13:49:47Z | |
dc.date.graduationmonth | May | en_US |
dc.date.issued | 2010-05-04T13:49:47Z | |
dc.date.published | 2010 | en_US |
dc.description.abstract | 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on the same unit, a situation called correlated proportions, the assumptions under which this test is derived are no longer valid.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. | en_US |
dc.description.advisor | Paul I. Nelson | en_US |
dc.description.degree | Master of Science | en_US |
dc.description.department | Department of Statistics | en_US |
dc.description.level | Masters | en_US |
dc.identifier.uri | http://hdl.handle.net/2097/3881 | |
dc.language.iso | en_US | en_US |
dc.publisher | Kansas State University | en |
dc.subject | Cochran's Q | en_US |
dc.subject | Chi-Square | en_US |
dc.subject | Binary Correlated Proportions | en_US |
dc.subject | Power | en_US |
dc.subject.umi | Statistics (0463) | en_US |
dc.title | 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 | en_US |
dc.type | Report | en_US |