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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 Shapiro–Wilk test ： ウィキペディア英語版 Shapiro–Wilk test The Shapiro–Wilk test is a test of normality in frequentist statistics. It was published in 1965 by Samuel Sanford Shapiro and Martin Wilk.〔 ==Theory== The Shapiro–Wilk test utilizes the null hypothesis principle to check whether a sample ''x''1, ..., ''x''''n'' came from a normally distributed population. The test statistic is: :$W\; =\; \backslash right)^2\; \backslash over\; \backslash sum\_^n\; (x\_i-\backslash overline)^2\}$ where * $x\_$ (with parentheses enclosing the subscript index ''i'') is the ''i''th order statistic, i.e., the ''i''th-smallest number in the sample; * $\backslash overline\; =\; \backslash left(\; x\_1\; +\; \backslash cdots\; +\; x\_n\; \backslash right)\; /\; n$ is the sample mean; * the constants $a\_i$ are given by〔 p. 593〕 ::$(a\_1,\backslash dots,a\_n)\; =\; \backslash over\; (m^V^m)^\}$ :where ::$m\; =\; (m\_1,\backslash dots,m\_n)^\{\backslash mathsf\{T\}\}\backslash ,$ :and $m\_1,\backslash ldots,m\_n$ are the expected values of the order statistics of independent and identically distributed random variables sampled from the standard normal distribution, and $V$ is the covariance matrix of those order statistics. The user may reject the null hypothesis if $W$ is below a predetermined threshold. 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「Shapiro–Wilk 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.