Decide the posterior for the coming data.
My question is either conceptual or practical. The critical effect was separately tested in three experimental sessions. I am investigating if the effect would increase session after session. My idea is to run the Bayesian t-test for each session, and the prior of the second session is the posterior of the first session. In this case, may I set the multiplication of Bayes factor and prior of the first session as the prior of second session? For example, the first prior is 0.707 and the first Bayes Factor is 1.1. The posterior of first prior is 0.778. Could this posterior be the prior of the second session?