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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

URL: http://hdl.handle.net/2097/3881

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no longer
valid.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 (6^{th} 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 (16^{th} 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 January 20, 2020. http://hdl.handle.net/2097/3881.

MLA Handbook (7^{th} 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. 20 Jan 2020.

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 2020 Jan 20]. 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