A command for significance and power to test for the existence of a unique most probable category
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.
View all articles by these authors:
Bryan M. Fellman, Joe Ensor
View all articles with these keywords:
cellsupremacy, cellsupremacyi, power_cellsupremacy, most probable category, multinomial data, cell supremacy, cell inferiority
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