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F-tests are used for other statistical tests of hypotheses , such as testing for differences in means in three or more groups, or in factorial layouts. These F-tests are generally not robust when there are violations of the assumption that each population follows the normal distribution , particularly for small alpha levels and unbalanced layouts. [7] However, for large alpha levels (., at least ) and balanced layouts, the F-test is relatively robust, although (if the normality assumption does not hold) it suffers from a loss in comparative statistical power as compared with non-parametric counterparts.

Anova reddit

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