I have a dataset made up of the date (YYYYMMDD) of a specific event, with the time period spanning from 1970-2015.
I want to compare two time periods of 10 years each, and look at the yearly total number of events in both time periods. Ultimately, determine if the difference between the mean,std of time period A the mean,std of time period B events is statistically significant.
I decided to similarly group the number of events by year, for each year in the dataset, and use this as my prior distribution.
I have gone back and forth endlessly trying to figure out whether or not this prior makes sense. Any insight would be greatly appreciated!