The settings of Prior and Model Prior
Hi JASP team,
I am a novice in Bayesian statistics. Recently, I have explored how to conduct Bayesian ANOVA using JASP and interpret results.
I have a confusion that the distinction or relation between Prior and Model Prior in Additional Options. When I modified the input of Prior, the results of BF10 and BFincl changed, and P(M) did not change. Interestingly, when I modified the Model Prior, the P(M) and BFincl changed, but BF10 had no change. Could you help me to solve this issue?
Moreover, I personally understand the calculation of BF10 is posterior odds divided by prior odds,
and BFincl is
So, the change of BFincl is clear to me, but I am confused that BF10 is influenced by the input of Prior and is not by the input of Model Prior. Generally, Bayes factor is independent of prior probability. I have no idea that the modification of Prior affects BF10, whereas the modification of Model Prior changing P(M) does not affect BF10.
By the way, I use the version 0.16.3 of JASP.
I appreciate you answering my questions!