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How to Determine Which Anova Test to Use

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Although as explained in Assumptions for ANOVA one-way ANOVA is usually quite robust there are many situations where the assumptions are sufficiently violated. The one way ANOVA test is used to determine whether there is any difference between the means of three or more groups. Anova Analysis Of Variance Essentially it is an extension of the Wilcoxon Rank-Sum test to more than two independent samples. . The F statistic represents the ratio of the variance between the groups and the variance inside the groups. The Kruskal-Wallis H test is a non-parametric test that is used in place of a one-way ANOVA. Because you are examining one factor carpet type you use a one-way ANOVA. ANOVA uses an F-statistic but the t-test is simply an F-test with df 1v so only requires on value of the df compared to the two used by ANOVA. For more detailed information about the differences between specific means use a multiple comparison method suc...