A comparison of tests for restricted orderings in the three-class case.

TitleA comparison of tests for restricted orderings in the three-class case.
Publication TypeJournal Article
Year of Publication2009
AuthorsAlonzo TA, Nakas CT, Yiannoutsos CT, Bucher S
JournalStat Med
Volume28
Issue7
Pagination1144-58
Date Published2009 Mar 30
ISSN0277-6715
KeywordsArea Under Curve, Clinical Trials as Topic, Data Interpretation, Statistical, Models, Statistical, Statistics, Nonparametric, Treatment Outcome
Abstract

A variety of methods for comparing three distributions have been proposed in the literature. These methods assess the same null hypothesis of equal distributions but differ in the alternative hypothesis they consider. The alternative hypothesis can be that measurements from the three classes are distributed according to unequal distributions or that measurements between the three classes follow a specific monotone ordering, an inverse-U-shaped (umbrella) ordering, or a U-shaped (tree) ordering. This paper compares these tests with respect to power and test size under different simulation scenarios. In addition, the methods are illustrated in two applications generated by different research questions with data from three classes suggesting monotone and umbrella orders. Additionally, proposals for the appropriate application of these tests are provided.

DOI10.1002/sim.3536
Alternate JournalStat Med
PubMed ID19156672