Dual Cones, Dual Norms, and Simultaneous Inference for Partially Ordered Means
作者:
Robert Berk,
Ruth Marcus,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1996)
卷期:
Volume 91,
issue 433
页码: 318-328
ISSN:0162-1459
年代: 1996
DOI:10.1080/01621459.1996.10476691
出版商: Taylor & Francis Group
关键词: One-sided confidence intervals;Order-restricted inference;Polar cone;Simultaneous confidence intervals
数据来源: Taylor
摘要:
Exact simultaneous one-sided confidence intervals for contrasts inmnormal means are discussed. The setKof contrast vectors considered is of one of two forms: Either it is a cone whose coordinates are monotone for a partial ordering defined on the coordinate index set {1, …,m} or it is the polar of such a cone. It is shown that the intervals obtained are inverted from test statistics that may be used for testing the null hypothesis that the mean vector μ lies in the dual (or negative polar) cone ofK, against the alternative that μ is not in the dual ofK. Corresponding conservative two-sided intervals are also discussed. The structure of such cones is considered and results concerning dual norms for such cones are obtained. Illustrations for simple ordering, simple-tree, and umbrella orderings are discussed.
点击下载:
PDF (1014KB)
返 回