What does it mean to have no interaction effect?
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.
What is the null hypothesis for two factor ANOVA?
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.
What is the interaction between the two factors?
The interaction is the simultaneous changes in the levels of both factors. If the changes in the level of Factor A result in different changes in the value of the response variable for the different levels of Factor B, we say that there is an interaction effect between the factors.
When is there an interaction there is no interaction?
There is no interaction. The change in the true average response when the level of either factor changes from 1 to 2 is the same for each level of the other factor. In this case, changes in levels of the two factors affect the true average response separately, or in an additive manner. Figure 1. Illustration of interaction effect.
What should I do when found no interaction in two way?
For example, sometimes people fold non-significant interactions into the error term. But you’ve already shown that both main effects are significant so there is no point. Your next step would normally be to conduct post hoc tests but with two groups in each factor, you don’t need post hoc tests to tell you which means are different.
When is a significant interaction not a main effect?
A significant interaction tells you that the change in the true average response for a level of Factor A depends on the level of Factor B. The effect of simultaneous changes cannot be determined by examining the main effects separately. If there is NOT a significant interaction, then proceed to test the main effects.