I have googled this extensively to little avail.
I have two biological sample sets consisiting of technical reps which I each average yielding an uncertain mean with standard deviation (remember, this value is biological, not technical). These sample sets signficantly differ (t-test). I can take the mean of these by averaging the two means, but how do I get the standard deviation of this mean.
I do this for a number of sample set "pairs" and the variance is mostly similar (they pass Levene's test). I normally would use the square root (i.e. zD = sqr(zX^2 + zY^2)) but I'm worried about applying this to sample set pairs which differ significantly and to those that have unequal variance.
What would be the best solution for this?
Averaging two uncertain values
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