Bayesian ANOVA on raw data
I'm kinda new to Bayesian analysis, but here goes:
I'm measuring reaction times in a repeated measures design. Say I have 10 subjects and 2 conditions with 50 measurements for each condition (overall 1000 observations). Can I use Bayesian ANOVA on the raw observations (not averaged across condition per subject), and enter the subject as a random factor? it seems reasonable to do so (I think it's the same logic of mixed models), but I could not find any reference for such a method with a Bayesian analysis...
Any help would be appreciated, as well as any references to any article you know that used a similar method.
If I'm correct, the analysis should look like this: