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Kansas State University

1. Gayle, Suelen S. 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.

Degree: MS, Department of Statistics, 2010, Kansas State University

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on the same unit, a situation called correlated proportions, the assumptions under which this test is derived are no longer valid.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. Advisors/Committee Members: Paul I. Nelson.

Subjects/Keywords: Cochran's Q; Chi-Square; Binary Correlated Proportions; Power; Statistics (0463)

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Gayle, S. S. (2010). 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. (Masters Thesis). Kansas State University. Retrieved from http://hdl.handle.net/2097/3881

Chicago Manual of Style (16th Edition):

Gayle, Suelen S. “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.” 2010. Masters Thesis, Kansas State University. Accessed December 09, 2019. http://hdl.handle.net/2097/3881.

MLA Handbook (7th Edition):

Gayle, Suelen S. “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.” 2010. Web. 09 Dec 2019.

Vancouver:

Gayle SS. 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. [Internet] [Masters thesis]. Kansas State University; 2010. [cited 2019 Dec 09]. Available from: http://hdl.handle.net/2097/3881.

Council of Science Editors:

Gayle SS. 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. [Masters Thesis]. Kansas State University; 2010. Available from: http://hdl.handle.net/2097/3881

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