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Statistical significance is a characteristic of a statistic viewed in light of a null hypothesis and a given significance level. It reflects whether the statistic belongs to the rejection region (is statistically significant) or the acceptance region (is not statistically significant).
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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 …