Some Problems of Siming Zhili's Shinanfuzongji_??__??__??__??__??_
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On generalized Simes critical constants
Biometrical Journal, 2014We consider the problem treated by Simes of testing the overall null hypothesis formed by the intersection of a set of elementary null hypotheses based on orderedp‐values of the associated test statistics. The Simes test uses critical constants that do not need tabulation.
Gou, Jiangtao, Tamhane, Ajit C.
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Abstract It is known that the one-sided Simes’ test controls the error rate if the underlying distribution is multivariate totally positive of order 2 (MTP2), but not in general. The two-sided test also controls the error rate when the coordinate absolute value has an MTP2 distribution, which holds more generally. We prove mathematically
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Hochberg, Yosef, Liberman, Uri
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