Exact unconditional distributions for dichotomous data in many-to-one comparisons

被引：10

作者：

Koch, HF ^{[1
]}

Hothorn, LA ^{[1
]}

机构：

[1] Solvay Pharmaceut BV, Weesp, Netherlands

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1999年 / 82卷 / 1-2期

关键词：

many-to-one design; binary data; exact unconditional test; step-down procedure;

D O I：

10.1016/S0378-3758(99)00033-6

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The exact conditional distribution of a statistic for the many-to-one design with dichotomous response variables was firstly given by Williams (1988). His approach is expanded to other maximum statistics, and their exact conditional distributions are compared. As an alternative to the conditional approach, the exact unconditional binomial distribution is presented for two maximum statistics. For these distributions algorithms are described to compute the exact unconditional p-values and critical values. As an application of the exact unconditional distribution, a new simultaneous step-down procedure is suggested. This procedure is based on the exact unconditional distribution and is compared to the alpha-adjustment procedure according to Bonferroni-Holm and Hommel when p-values result from Fisher's exact test and Barnard's test. (C) 1999 Elsevier Science B.V. All rights reserved. MSC: 62J15; 62E15.

引用

页码：83 / 99

页数：17

共 22 条

[11] A QUASI-EXACT TEST FOR COMPARING 2 BINOMIAL PROPORTIONS [J].