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.
Original language | English (US) |
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Article number | st0348 |
Pages (from-to) | 499-510 |
Number of pages | 12 |
Journal | Stata Journal |
Volume | 14 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2014 |
Keywords
- Cell inferiority
- Cell supremacy
- Cellsupremacy
- Cellsupremacyi
- Most probable category
- Multinomial data
- Power cellsupremacy
- St0348
ASJC Scopus subject areas
- Mathematics (miscellaneous)