![]() ![]() The assumptions of the ANOVA test are the same as the general assumptions for any parametric test: If the variance within groups is smaller than the variance between groups, the F test will find a higher F value, and therefore a higher likelihood that the difference observed is real and not due to chance. The F test compares the variance in each group mean from the overall group variance. This allows for comparison of multiple means at once, because the error is calculated for the whole set of comparisons rather than for each individual two-way comparison (which would happen with a t test). ![]() If any of the group means is significantly different from the overall mean, then the null hypothesis is rejected.ĪNOVA uses the F test for statistical significance. If you only want to compare two groups, use a t test instead.ĭiscover proofreading & editing How does an ANOVA test work?ĪNOVA determines whether the groups created by the levels of the independent variable are statistically different by calculating whether the means of the treatment levels are different from the overall mean of the dependent variable. The alternative hypothesis ( H a) is that at least one group differs significantly from the overall mean of the dependent variable. The null hypothesis ( H 0) of ANOVA is that there is no difference among group means.
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