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Tukey's range test, also known as Tukey's test, Tukey method, Tukey's honest significance test, or Tukey's HSD (honestly significant difference) test, [1] is a single ...
Some common post hoc tests include: [6] [7] Holm-Bonferroni Procedure; Newman-Keuls; Rodger’s Method; Scheffé’s Method; Tukey’s Test (see also: Studentized Range Distribution) However, with the exception of Scheffès Method, these tests should be specified "a priori" despite being called "post-hoc" in conventional usage.
This procedure is often used as a post-hoc test whenever a significant difference between three or more sample means has been revealed by an analysis of variance (ANOVA). [1] The Newman–Keuls method is similar to Tukey's range test as both procedures use studentized range statistics .
Henry Scheffé's simultaneous test of all contrasts in multiple comparison problems is the most [citation needed] well-known remedy in the case of analysis of variance. [1] It is a method designed for testing hypotheses suggested by the data while avoiding the fallacy described above.
In statistics, Tukey's test of additivity, [1] named for John Tukey, is an approach used in two-way ANOVA (regression analysis involving two qualitative factors) to assess whether the factor variables (categorical variables) are additively related to the expected value of the response variable. It can be applied when there are no replicated ...
Rodger’s approach was formulated within the Neyman-Pearson hypothesis-testing framework [...] and required that the test of each contrast Ψ i (i = 1, ... , J − 1) should result in a ‘decision’ between the null hypothesis (i H 0: Ψ i = 0) and a particular value δ i specified a priori by the alternative hypothesis (i H 1: Ψ i = δ i ...
Siegel–Tukey test, named after Sidney Siegel and John Tukey, is a non-parametric test which may be applied to data measured at least on an ordinal scale. It tests for differences in scale between two groups. The test is used to determine if one of two groups of data tends to have more widely dispersed values than the other.
The new multiple range test proposed by Duncan makes use of special protection levels based upon degrees of freedom.Let , = be the protection level for testing the significance of a difference between two means; that is, the probability that a significant difference between two means will not be found if the population means are equal.