Contents
- 1 Is it possible to have a statistically significant ANOVA in which none of the pairwise comparisons are statistically significant?
- 2 What does a non significant interaction mean?
- 3 How do you know if ANOVA is statistically significant?
- 4 How do you know if an interaction is significant?
- 5 How do you know if an ANOVA is significant?
Is it possible to have a statistically significant ANOVA in which none of the pairwise comparisons are statistically significant?
Yes dear it is possible to get insignificant result after ANOVA. Not achieving a statistically significant result does not mean you should not report group means ± standard deviation also. However, running post hoc tests is not warranted and should not be carried out (p-value is greater than 0.05).
What does a non significant interaction mean?
When there is no Significance interaction it means there is no moderation or that moderator does not play any interaction on the variables in question.
Is it possible to get a significant result from your F test but then not find significant differences in your post hoc tests?
Surprisingly, the answer is yes. With one exception, post tests are valid even if the overall ANOVA did not find a significant difference among means. The exception is the first multiple comparison test invented, the protected Fisher Least Significant Difference (LSD) test.
What is the danger in making many pairwise comparisons?
The problem with performing comparisons of all pairs of means (pairwise comparisons) is that there can be quite a large number of comparisons and therefore the danger of a high EER.
How do you know if ANOVA is statistically significant?
In ANOVA, the null hypothesis is that there is no difference among group means. If any group differs significantly from the overall group mean, then the ANOVA will report a statistically significant result.
How do you know if an interaction is significant?
If the main effect of a factor is significant, the difference between some of the factor level means are statistically significant. If an interaction term is statistically significant, the relationship between a factor and the response differs by the level of the other factor.
Can you have a significant interaction without main effect?
Is it “legal” to omit one or both main effects? The simple answer is no, you don’t always need main effects when there is an interaction. However, the interaction term will not have the same meaning as it would if both main effects were included in the model.
Why post hoc test is not significant?
Here are some suggestions why post-hoc tests may appear non-significant while the global effect is significant. When pairwise comparison tests are not statistically powerful, it is less likely to detect significant differences. A high number of factor levels can also be an explanation.