A command for significance and power to test for the existence of a unique most probable category

Bryan M. Fellman () and Joe Ensor ()
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Bryan M. Fellman: MD Anderson Cancer Center
Joe Ensor: MD Anderson Cancer Center

Stata Journal, 2014, vol. 14, issue 3, 499-510

Abstract: The analysis of multinomial data often includes the following question of interest: Is a particular category the most populous (that is, does it have the largest probability)? Berry (2001, Journal of Statistical Planning and Inference 99: 175–182) developed a likelihood-ratio test for assessing the evidence for the existence of a unique most probable category. Nettleton (2009, Journal of the American Statistical Association 104: 1052–1059) developed a likelihood-ratio test for testing whether a particular category was most probable, showed that the test was an example of an intersection-union test, and proposed other intersection-union tests for testing whether a particular category was most probable. He extended his likelihood-ratio test to the existence of a unique most probable category and showed that his test was equivalent to the test developed by Berry (2001, Journal of Statistical Planning and Inference 99: 175–182). Nettleton (2009, Journal of the American Statistical Association 104: 1052–1059) showed that the likelihood ratio for identifying a unique most probable cell could be viewed as a union-intersection test. The purpose of this article is to survey different methods and present a command, cellsupremacy, for the analysis of multinomial data as it pertains to identifying the significantly most probable category; the article also presents a command for sample-size calculations and power analyses, power cellsupremacy, that is useful for planning multinomial data studies.

Keywords: cellsupremacy; cellsupremacyi; power cellsupremacy; most probable category; multinomial data; cell supremacy; cell inferiority (search for similar items in EconPapers)
Date: 2014
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