Comparing Groups with Umbrella Orderings
作者:
Guohua Pan,
DouglasA. Wolfe,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1996)
卷期:
Volume 91,
issue 433
页码: 311-317
ISSN:0162-1459
年代: 1996
DOI:10.1080/01621459.1996.10476690
出版商: Taylor & Francis Group
关键词: Likelihood ratio test;Order restricted inference;Subset selection;Unimodal ordering
数据来源: Taylor
摘要:
One commonly observed response pattern in a one-factor design with ordered treatment levels is the umbrella or unimodal ordering, in which the response variable increases with an increase in the treatment level up to a point, then decreases with further increase in the treatment level. The turning point is called the peak of an umbrella ordering. In many practical settings, there are two or more different populations with umbrella orderings, and it is of interest to compare these populations. In this article, likelihood ratio tests are developed for testing whether two groups with umbrella orderings have the same peaks. Three cases are considered: variances known, variances unknown and different for each group, and variances unknown and the same for both groups. Extensions to randomized block designs and to a more general class of testing problems are discussed.
点击下载:
PDF (667KB)
返 回