How to come up with "Informed Prior"
Hi everyone,
I have two sets of data from two separate experiments. I am wondering if there is some way to use the data from the first experiment to come up with an informed prior for the second experiment. I know that I can set different priors in JASP and report them all, but I was wondering if there was a more precise way to say something like "If one has uninformed priors before experiment 1, based on the results of [insert procedure here], the new priors should be X". Basically, is there a way I can mathematically use the results from the first experiment to set a prior for the second experiment?
Thank you!
Comments
Hi Eliza,
I would refer you to these papers:
Gronau, Q. F., Ly, A., & Wagenmakers, E.-J. (2020). Informed Bayesian t-tests. The American Statistician, 74, 137-143. https://www.tandfonline.com/doi/full/10.1080/00031305.2018.1562983
Ly, A., Etz, A., Marsman, M., & Wagenmakers, E.-J. (2019). Replication Bayes factors from evidence updating. Behavior Research Methods, 51, 2498-2508. https://link.springer.com/article/10.3758/s13428-018-1092-x
Verhagen, A. J., & Wagenmakers, E.-J. (2014). Bayesian tests to quantify the result of a replication attempt. Journal of Experimental Psychology: General, 143, 1457-1475. http://www.ejwagenmakers.com/2014/VerhagenWagenmakers2014.pdf
Cheers,
E.J.