I seem to recall a method where one could compare and look for differences between independent samples when you only have the mean for each sample and their 95% Confidence Intervals. You are unable to recover any other information about each group. Am I off my rocker and this is not possible? I know the ‘rule of thumb’ about 83% CI overlap between groups, but that isn’t universal enough for my needs.
Is anyone else out there smarter than me able to help?