Informed Prior Bayesian Paired Samples t-test
Using a simple effect revealed in Experiment 1, I want to know the strength of evidence for this effect being replicated in Experiment 2 (two separate experiments where Exp2 is a direct replication of Exp1). To do so, would it be justified to use the Bayesian Paired Samples t-test with an informed Prior based on the effect size (Cohens d) and std from Experiment 1?
More specifically: The Cohen's d of the effect of interest from Exp 1 is 0.4 with std=0.07. Can I use these values to inform the prior (selecting Informed prior, normal) for the Bayesian Paired Samples t-test in Exp2?
When I try this, I obtain the following output for Experiment 2:
Figure: Bayesian Paired Samples T-Test. Input in JASP: ConditionA(S_LR_R) vs. ConditionB(S_RL_R); Hypothesis (Measure 1>Measure 2; my expected direction of the effect), Bayes Factor: BF10, Informed Prior (effect size 0.4, std 0.07, which is the effect obtained in Exp1).
My conclusion here would be I have anecdotal/moderate evidence for data|H+ (i.e., anecdotal/moderate evidence for a replication of my previous effect revealed in Exp1).
Many thanks for your help. I am very new to Bayesian analysis and reading through other posts about the prior, I am still confused. But I would like understand and use it appropriately, so your feedback is much appreciated.