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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Šidák correction for t-test ： ウィキペディア英語版 Šidák correction for t-test One of the application of Student's t-test is to test the location of one sequence of independent and identically distributed random variables. If we want to test the locations of multiple sequences of such variables, Šidák correction should be applied in order to calibrate the level of the Student's t-test. Moreover, if we want to test the locations of nearly infinitely many sequences of variables, then Šidák correction should be used, but with caution. More specifically, the validity of Šidák correction depends on how fast the number of sequences goes to infinity. ==Introduction of Šidák correction== Suppose we are interested in different null hypotheses, $H\_,...,H\_$, and would like to check if all of them are true. Now the hypothesis test scheme becomes : $H\_$: all of $H\_$ are true; : $H\_$: at least one of $H\_$ is false. Let $\backslash alpha$ be the level of this test, that is, the probability that we falsely reject $H\_$ when it is true. Now we aim to design a test with certain level $\backslash alpha$. Suppose when testing each null hypothesis $H\_$, the statistic we use is $t\_$. If these $t\_$'s are independent, then a test for $H\_$ can be developed by the following procedures, known as Šidák correction. :Step 1, we test each of null hypotheses at level $1-(1-\backslash alpha)^\backslash frac$. :Step 2, if any of these null hypotheses is rejected, we reject $H\_$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Šidák correction for t-test」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.