MULTIPLE COMPARISON PROCEDURES BASED ON THE MAXIMAL COMPONENT OF THE CUMULATIVE CHI-SQUARED STATISTIC

被引:14
作者
HIROTSU, C [1 ]
KURIKI, S [1 ]
HAYTER, AJ [1 ]
机构
[1] GEORGIA INST TECHNOL,SCH IND & SYST ENGN,ATLANTA,GA 30332
关键词
CLOSED TESTING PROCEDURE; DOSE FINDING EXPERIMENT; MARKOV PROPERTY; MULTIPLE TESTING; MULTIVARIATE NORMAL INTEGRALS; ORDERED ALTERNATIVE;
D O I
10.1093/biomet/79.2.381
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Multiple comparison procedures based on the maximal component of the cumulative chi-squared statistic are discussed. The Markov properties for the successive components of the cumulative chi-squared statistic are proved and applied for obtaining the p-value of the maximal component in each of the one-way and the two-way analysis of variance models and the two-way contingency table. The power of the multiple comparison procedure is compared with those for some well-known procedures in the setting of Williams (1971) for detecting the change point from the zero level.
引用
收藏
页码:381 / 392
页数:12
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