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
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
收藏
页码:83 / 99
页数:17
相关论文
共 22 条
[1]  
AHNER C, 1983, EDV MED BIOL, V14, P113
[2]  
[Anonymous], 1987, MULTIPLE COMP PROCED, DOI DOI 10.1002/9780470316672
[3]  
[Anonymous], 1993, Resampling-based multiple testing: Examples and methods for P-value adjustment
[4]   ELIMINATION OF NUISANCE PARAMETERS [J].
BASU, D .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1977, 72 (358) :355-366
[5]  
Bristol DR, 1993, MULTIPLE COMP SELECT, P77
[6]   MULTIPLE COMPARISONS PROCEDURES FOR COMPARING SEVERAL TREATMENTS WITH A CONTROL-BASED ON BINARY DATA [J].
CHUANGSTEIN, C ;
TONG, DM .
STATISTICS IN MEDICINE, 1995, 14 (23) :2509-2522
[7]   EXACT TESTS FOR 2X2 CONTINGENCY-TABLES [J].
DAVIS, LJ .
AMERICAN STATISTICIAN, 1986, 40 (02) :139-141
[8]   A STEP-UP MULTIPLE TEST PROCEDURE [J].
DUNNETT, CW ;
TAMHANE, AC .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1992, 87 (417) :162-170
[9]   COMPARING PROPORTION EXPOSED IN CASE-CONTROL STUDIES USING SEVERAL CONTROL-GROUPS [J].
FAIRWEATHER, WR .
AMERICAN JOURNAL OF EPIDEMIOLOGY, 1987, 126 (02) :170-178