I have empirical data from 20 subjects (8 summary datapoints for each subject). I'm trying to calculate the BICs for three potential models of my data.
For each subject, I can calculate the likelihood of the 8 datapoints given each model. I can then obtain a BIC for each model and each participant.
How would I calculate a BIC for the full dataset?
Calculating a BIC for the full dataset of 20 subjects would require that I calculate the likelihood of the 20*8 datapoints, which leaves me with a very low likelihood and very high BIC.
But doing statistics on the individual BICs doesn't sound like a reasonable option either.
I know it's a basic question, but I haven't found a clear way to solve it.