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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.
2
votes
Accepted
Statistical methods for analyzing results of preference study
Right, I'd treat this as a multilevel logistic regression. Formally:
$y_{ijk} = \beta_0 + \beta_1V_{ijk} + \alpha_i^p + \alpha_i^{p*v}V_{ijk} + \alpha_j^s + \alpha_j^{s*v}V_{ijk} + \alpha_{ij}^{p*s*v …
2
votes
ANOVA: Non-significant main effect with significant post-hoc test?
You can report it just that way - the omnibus was not significant, but post-hoc tests were. Although I think orthodoxy is that one wouldn't run the post-hoc tests if the omnibus was not significant un …