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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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vote
ANOVA - False negatives due to many nonsignificant treatments where one treatment is signifi...
In this case, I trust the post hoc analysis instead of the
omnibus ANOVA. Thus whatever ANOVA tells me I still go to posthoc
analysis to determine significance. … Besides, given your small sample size, it is not surprising the ANOVA returns a not significant result. …