Extreme probabilities for contingency tables under row and column independence with application to fisher's exact test

Extreme probabilities for contingency tables under row and column independence with application to fisher's exact test
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行列独立下列联表的极值概率及其在费希尔精确检验中的应用

DOI:
10.1080/03610928808829827
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发表时间:
1988
影响因子:
0.8
通讯作者:
H. Joe
H. Joe
中科院分区:
数学4区
文献类型:
--
作者:
H. Joe

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证明了IIRi!/ IICj!/ T!我来!在r× c列联表Y=(yij)上,行和为R1,...,Rr,列和为C1,...,Cc,总计为T。这些结果被应用到Mehta和Patel(1983)的网络算法中,用于计算无序r×c列联表Fisher精确检验的P值。当列和非常不同时,计算时间的减少可能会显着。
Theorerms are proved for the maxima and minima of IIRi!/IICj!/T!IIyij ! over r× c contingcncy tables Y=(yij) with row sums R1,…,Rr, column sums C1,…,Cc, and grand total T. These results are imlplemented into the network algorithm of Mehta and Patel (1983) for computing the P-value of Fisher's exact test for unordered r×c contingency tables. The decrease in the amount of computing time can be substantial when the column sums are very different.