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How do you know if ANOVA is significant p-value?
The p-value only tells you how likely the data you have observed is to have occurred under the null hypothesis. If the p-value is below your threshold of significance (typically p < 0.05), then you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.
What is the appropriate denominator for the F ratio for a repeated-measures Anova?
residual variance
In a repeated-measures ANOVA, the denominator of the F-ratio is called the residual variance or the error variance, and measures how much variance is expected if there are no systematic treatment effects and no individual differences contributing to the variability of the scores.
What is the implication when an ANOVA produces a very large value for the F ratio?
What is the implication when ANOVA produces a very large value for the F-ratio? Book: A large F-ratio indicates the existence of a treatment effect because the difference between treatments (numerator) are much bigger than the differences that would be expected if there were no effect (denominator).
When to use ANOVA to test for statistical significance?
When you use ANOVA to test the equality of at least three group means, statistically significant results indicate that not all of the group means are equal. However, ANOVA results do not identify which particular differences between pairs of means are significant.
When to use a post hoc test with Anova?
Using Post Hoc Tests with ANOVA. Post hoc tests are an integral part of ANOVA. When you use ANOVA to test the equality of at least three group means, statistically significant results indicate that not all of the group means are equal. However, ANOVA results do not identify which particular differences between pairs of means are significant.
Is it possible for multiple comparisons to follow one way ANOVA?
Since multiple comparison tests are often called ‘post tests’, you’d think they logically follow the one-way ANOVA. In fact, this isn’t so. ” An unfortunate common practice is to pursue multiple comparisons only when the hull hypothesis of homogeneity is rejected.” ( Hsu, page 177)
When to use Scheffe’s test for overall ANOVA?
If the overall ANOVA P value is less than 0.05, then Scheffe’s test will definitely find a significant difference somewhere (if you look at the right comparison, also called contrast).