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ANOVA stands for ANalysis Of VAriance, a statistical model and set of procedures for comparing multiple group means. The independent variables in an ANOVA model are categorical, but an ANOVA table can be used to test continuous variables as well.
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Significant results from ANOVA post-hoc Tukey's, insignificant with welch-ANOVA post-hoc Dun...
I performed one-way ANOVA tests with post-hoc Tukey's to look at multiple comparisons and got highly significant results, but noticed the $F$-value on the ANOVA was high. … The SDs in the groups were unequal, so I performed Welch-ANOVA with post-hoc Dunnett's $T^3$ (to account for unequal variance). …