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Tables of percentage points of the distribution of the maximum absolute value of equally correlated normal random variables

 

作者: Robert E. odeh,  

 

期刊: Communications in Statistics - Simulation and Computation  （Taylor Available online 1982）
卷期: Volume 11, issue 1  

页码: 65-87

 

ISSN:0361-0918

 

年代: 1982

 

DOI:10.1080/03610918208812246

 

出版商: Marcel Dekker, Inc.

 

关键词: multivariate normal distribution;multiple comparisons;treatment versus control;largest order statistic;simultaneous confidence intervals

 

数据来源: Taylor

 

摘要:

Let X1,…,X2,…,XNbe multinomial with zero means, unitvariances, and equal correlations ρ>0. For i=l,…,N let Yi=|Xi| and let Y(1)&…&Y(N)denote the ordered Y's. Denote by FN(y;ρ) the probability that YN&y. In this paper tables of upper 100apercentage points of the distribution of YNare given. Values of ya=y(a,N,p)are given which satisfy FN(ya;ρ)=l−α for a=0.25, 0.10, 0.05, 0.025, 0.01, 0.005, 0.001; N=2(1)40(2)50; and p=0.100, 0.125, 0.200, 0.250, 0.300, 1/3, 0.375, 0.400, 0.500, 0.600, 0.625, 2/3, 0.700, 0.750, 0.800, 0.875, 0.900,1/(1+√N).

 

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