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  2. One-way analysis of variance - Wikipedia

    en.wikipedia.org/wiki/One-way_analysis_of_variance

    In statistics, one-way analysis of variance (or one-way ANOVA) is a technique to compare whether two or more samples' means are significantly different (using the F distribution). This analysis of variance technique requires a numeric response variable "Y" and a single explanatory variable "X", hence "one-way".

  3. Kruskal–Wallis test - Wikipedia

    en.wikipedia.org/wiki/Kruskal–Wallis_test

    The parametric equivalent of the Kruskal–Wallis test is the one-way analysis of variance (ANOVA). A significant Kruskal–Wallis test indicates that at least one sample stochastically dominates one other sample. The test does not identify where this stochastic dominance occurs or for how many pairs of groups stochastic dominance obtains.

  4. Omnibus test - Wikipedia

    en.wikipedia.org/wiki/Omnibus_test

    Another omnibus test we can find in ANOVA is the F test for testing one of the ANOVA assumptions: the equality of variance between groups. In One-Way ANOVA, for example, the hypotheses tested by omnibus F test are: H0: μ 1 =μ 2 =....= μ k. H1: at least one pair μ j ≠μ j'

  5. Brown–Forsythe test - Wikipedia

    en.wikipedia.org/wiki/Brown–Forsythe_test

    When a one-way ANOVA is performed, samples are assumed to have been drawn from distributions with equal variance. If this assumption is not valid, the resulting F -test is invalid. The Brown–Forsythe test statistic is the F statistic resulting from an ordinary one-way analysis of variance on the absolute deviations of the groups or treatments ...

  6. Mixed-design analysis of variance - Wikipedia

    en.wikipedia.org/wiki/Mixed-design_analysis_of...

    Variables in Andy Field's (2009) mixed-design ANOVA example. Participants would experience each level of the repeated variables but only one level of the between-subjects variable. Andy Field (2009) [ 1 ] provided an example of a mixed-design ANOVA in which he wants to investigate whether personality or attractiveness is the most important ...

  7. F-test - Wikipedia

    en.wikipedia.org/wiki/F-test

    Common examples of the use of F-tests include the study of the following cases . One-way ANOVA table with 3 random groups that each has 30 observations. F value is being calculated in the second to last column The hypothesis that the means of a given set of normally distributed populations, all having the same standard deviation, are equal.

  8. Analysis of variance - Wikipedia

    en.wikipedia.org/wiki/Analysis_of_variance

    Typically, however, the one-way ANOVA is used to test for differences among at least three groups, since the two-group case can be covered by a t-test. [56] When there are only two means to compare, the t-test and the ANOVA F-test are equivalent; the relation between ANOVA and t is given by F = t 2.

  9. ANOVA on ranks - Wikipedia

    en.wikipedia.org/wiki/ANOVA_on_ranks

    For example, Monte Carlo studies have shown that the rank transformation in the two independent samples t-test layout can be successfully extended to the one-way independent samples ANOVA, as well as the two independent samples multivariate Hotelling's T 2 layouts [2] Commercial statistical software packages (e.g., SAS) followed with ...

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