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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 Hartley's test ： ウィキペディア英語版 Hartley's test In statistics, Hartley's test, also known as the ''F''max test or Hartley's ''F''max, is used in the analysis of variance to verify that different groups have a similar variance, an assumption needed for other statistical tests. It was developed by H. O. Hartley, who published it in 1950.〔Hartley (1950)〕 The test involves computing the ratio of the largest group variance, max(sj2) to the smallest group variance, min(sj2). The resulting ratio, Fmax, is then compared to a critical value from a table of the sampling distribution of Fmax.〔David (1952)〕〔Pearson & Hartley (1970), Table 31〕 If the computed ratio is less than the critical value, the groups are assumed to have similar or equal variances. Hartley's test assumes that data for each group are normally distributed, and that each group has an equal number of members. This test, although convenient, is quite sensitive to violations of the normality assumption.〔O'Brien (1981)〕 Alternatives to Hartley's test that are robust to violations of normality are O'Brien's procedure,〔O'Brien (1981)〕 and the Brown–Forsythe test.〔Keppel & Wickens (2004)〕 ==Related tests== Hartley's test is related to Cochran's C test〔Cochran (1941)〕〔Pearson & Hartley (1970), page 67 and Table 31a〕 in which the test statistic is the ratio of max(sj2) to the sum of all the group variances. Other tests related to these, have test statistics in which the within-group variances are replaced by the within-group range.〔Bliss et al. (1956)〕〔Pearson & Hartley (1970), page 58–9 and Tables 31b,c〕 Hartley's test and these similar tests, which are easy to perform but are sensitive to departures from normality, have been grouped together as quick tests for equal variances and, as such, are given a commentary by Hand & Nagaraja (2003).〔Hand & Nagaraja (2003) Section 9.7〕 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「Hartley's 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.