Distributions of Lawley-Hotelling's T 0 2 related statistics: a review
Distributions of Lawley-Hotelling's T 0 2 related statistics: a review
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Lawley-Hotellings T 0 2 相关统计数据的分布：回顾
DOI：
10.1080/01966324.1989.10737251
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发表时间：
1988
影响因子：
--
通讯作者：
M. Siotani
中科院分区：
文献类型：
--
作者：
M. Siotani
Symoptic Abstractin本评论文章有关Lawley -Hotelling的T02及相关统计数据的分布，对以下主题进行了审查和讨论：（1）（1）确切的分布，（2）与T02相关的部分微分方程系统的系统，（3）（3）（3）通过几种方法，（4）百分点和表格的分布，（5）杂项（包括两个T02统计的分布及其比率及其最大T2）。对于人口平均值矢量，即Manova测试统计。
SYNOPTIC ABSTRACTIn this review article on the distributions of Lawley–Hotelling's T02 and related statistics, the following topics are reviewed and discussed: (1) exact distributions, (2) system of partial differential equations related to T02, (3) asymptotic expansions for the distribution of T02 by several methods, (4) percentage points and tables, and (5) miscellanea (including the distributions of two T02 statistics and their ratio and the maximum of ordinary T2's). T02 in this paper is the test statistic for noncentrality due to population mean vectors, i.e. the MANOVA test statistic. However the discussion for the central case is valid for the null cases of equality of two population covariance matrices and the independence of two sets of variates.