I'm conducting a two-way ANOVA with one within-subjects factor A (A1; A2) and one between-subjects factor B (B1; B2), but I would like conduct this with the bayesian approach. I did it with JASP.
However, is it possible to compute simple main effect for Bayesian ANOVA ? If yes, how can I do it ? This option is not available in JASP, thus can I do it with t-test, as it's possible in frequentist approach when interaction is significant ? Or, is it possible to do it with R ?
Moreover, I computed bayesian post-hoc in JASP and BF were the same than Bayesian t-test... So I did not understand why...
Finally, my last question is about power. I don't have many participants, so how to know if my bayesian analysis did not suffer from a lack of power when BF shows anecdotical evidence ?
I have read this article on the topic but did not find an answer :
Jong, Marsman, Wagenmakers (2019)
Bergh, D. Van Den, Doorn, J. Van, Marsman, M., Draws, T., van Kesteren, E.-J., Derks, K., … Wagenmakers, E. J. (2019). A Tutorial on Conducting and Interpreting a Bayesian ANOVA in JASP. 1–22. https://doi.org/https://doi.org/10.31234/osf.io/spreb
Rouder, J. N., Engelhardt, C. R., McCabe, S., & Morey, R. D. (2016). Model comparison in ANOVA. Psychonomic Bulletin and Review, 23(6), 1779–1786. https://doi.org/10.3758/s13423-016-1026-5
Thanks for your answer,