Correction for multiple testing of post hoc Bayesian t-tests
I have a question regarding correction for multiple testing of post hoc Bayesian t-tests, e.g., in a Bayesian RM-ANOVA:
The output in JASP provides tables of Post Hoc Tests, including values for the Prior Odds, Posterior Odds, BF10,U, and error%. While the Posterior Odds are corrected for multiple testing (following Westfall et al., 1997), the BF is uncorrected as indicated by U. However, am I right to calculate a corrected BF by dividing the (corrected) Posterior Odds by the Prior odds? For instance, I have a Prior Odd of 0.320, and a Posterior Odd of 368.130 and a BF10,U of 1152.177 provided in JASP; calculating a corrected BF10 (by dividing 368.130/0.320) will result in a BF10 of 1.150,406. The new BF10 is slightly lower, but is that a proper way to correct the BF for multiple testing?
Is that right, and can we say than that the BF10 is corrected for multiple testing?
I appreciate any help you can provide.