Interpretation of ANOVA interactions
I am an ambitious beginner in Bayesian Statistics and JASP My question regards the computations between the interactions in ANOVA. I would use an example here, where we assess the effect of age and gender on Counting Span test scores. The results should be that there is an effect of age group (kids vs adolescents vs adults), no effect of gender and no effect of gender X age group (based on literature and classical analysis of this data).
As I understand, the main effect BFs in the ANOVA reflect how well the group contrasts support the H1. We have evidence for the effect of age group (high average contrasts among 1 vs 2, 2 vs 3, 1 vs 3 age groups) and evidence for the lack of the effect of gender (low contrast between boys and girls). Is this correct?
Do the interaction effect BF-s reflect contrasts among 2 x 3 = 6 subgroups? If so, how do we treat the
1) same-gender subgroup contrasts
2) same-agegroup subgroup contrasts
3) different gender and different age group subgroup contrasts
differently from each other?
What does explain that we get high BF_10 for the interaction effect, although there should not be one?
Thank you in advance!