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Tukey's range test, also known as the Tukey's test, Tukey method, Tukey's honest significance test, Tukey's HSD (honest significant difference) test,〔 Also occasionally as "honestly," see e.g. 〕 or the Tukey–Kramer method, is a single-step multiple comparison procedure and statistical test. It can be used on raw data or in conjunction with an ANOVA (Post-hoc analysis) to find means that are significantly different from each other. Named after John Tukey, it compares all possible pairs of means, and is based on a ''studentized range distribution'' (''q'') (this distribution is similar to the distribution of ''t'' from the ''t''-test. See below).〔Linton, L.R., Harder, L.D. (2007) Biology 315 – Quantitative Biology Lecture Notes. University of Calgary, Calgary, AB〕 The Tukey HSD tests should not be confused with the Tukey Mean Difference tests (also known as the Bland–Altman test). Tukey's test compares the means of every treatment to the means of every other treatment; that is, it applies simultaneously to the set of all pairwise comparisons : and identifies any difference between two means that is greater than the expected standard error. The confidence coefficient for the set, when all sample sizes are equal, is exactly 1 − α. For unequal sample sizes, the confidence coefficient is greater than 1 − α. In other words, the Tukey method is conservative when there are unequal sample sizes. ==Assumptions of Tukey's test== #The observations being tested are independent within and among the groups. #The groups associated with each mean in the test are normally distributed. #There is equal within-group variance across the groups associated with each mean in the test (homogeneity of variance). 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「Tukey's range test」の詳細全文を読む スポンサード リンク
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