Bayes Factor comparison
In two studies, I have replicated (experiment 1) and expanded (experiment 2) by adding a condition for comparison the work of another researcher.
My aim is to test whether the replicated condition in experiment 1 conserves the same effect size or is reduced by the introduction of the new variable in experiment 2.
In both experiments, I have computed the BF using both the Cauchy default and Oosterwijk prior distribution for a Bayesian one-sided paired-samples t-test.
In experiment 1, I obtained a Cauchy BF10 = 5.77 (median=0.51; 95CI[0.13-0.98]) and a Oosterwijk BF10 = 10.93 (median = 0.39; 95CI[0.19-0.67].
In experiment 2 when isolating the replicated condition from the expanded one I obtained a Cauchy BF10=3.00 (median=0.24; 95CI[0.05-0.45] and Oosterwijk BF10=7.67 (median=0.30; 95CI[0.13-0.45]).
What I would like to know is if there is a quantitative way to test this reduction in the value of the Bayes Factor for the variable of interest between the replicated study and the expanded one.
Thank you very much in advance,