Tukey's Range Test
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High Quality Content by WIKIPEDIA articles! Tukey's test, also known as the Tukey range test, Tukey method, Tukey's honest significance test, Tukey's HSD (Honestly Significant Difference) test, or the Tukey Kramer method, is a single-step multiple comparison procedure and statistical test generally used in conjunction with an ANOVA to find which means are significantly different from one another. 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). The test co...
High Quality Content by WIKIPEDIA articles! Tukey's test, also known as the Tukey range test, Tukey method, Tukey's honest significance test, Tukey's HSD (Honestly Significant Difference) test, or the Tukey Kramer method, is a single-step multiple comparison procedure and statistical test generally used in conjunction with an ANOVA to find which means are significantly different from one another. 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). The 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 mu_i-mu_j , and identifies where the difference between two means is greater than the standard error would be expected to allow. The confidence coefficient for the set, when all sample sizes are equal, is exactly 1 . For unequal sample sizes, the confidence coefficient is greater than 1 . In other words, the Tukey method is conservative when there are unequal sample sizes.
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