Posterior Distribution in Raw Units (t-test)
My question has to do with the posterior distribution and reporting the 95% credible interval in the raw score units. I am very novice when it comes to R but I was able to calculate the raw score units in the BayesFactor package (as noted below
Mean SD Naive SE Time-series SE
mu -1.3101 0.5116 0.005116 0.005683
sig2 3.2151 1.6501 0.016501 0.018547
delta -0.7912 0.3434 0.003434 0.004059
g 4.2972 33.7041 0.337041 0.345778
Quantiles for each variable:
2.5% 25% 50% 75% 97.5%mu -2.3197 -1.6468 -1.3042 -0.9805 -0.2914
sig2 1.3409 2.1375 2.8195 3.8277 7.4126
delta -1.4782 -1.0202 -0.7813 -0.5559 -0.1496
g 0.1202 0.3878 0.8359 2.0673 23.0160
My question comes when one uses the "informed prior" tab in JASP. I am unaware of how to add in an informed prior (not centered on zero) to a paired t-test in R. Is there a relatively easy way to do this? If not, is it reasonable to take the standardized effect size in JASP and multiply it by the SD of the difference to produce the posterior distribution in raw units?
Thanks in advance.
Comments
Dear jploenneke,
Cheers,
E.J.
Dear jploenneke,
With respect to E.J.'s first point: You can find the corresponding R code here.
Cheers,
Quentin
Thank you both for your help.