In hypothesis testing, how do I calculate the unbiased estimate of the population mean and variance of two combined samples?
Thanks in advance!
Hi,
I believe you are referring to N08/P1/Q10.
Given summary statistics of sample 1:
sigma x and sigma x^2.
Given summary statistics of sample 2:
sigma y and sigma y^2.
Now
1. compute sigma x + sigma y,
2. compute sigma x^2 + sigma y^2,
3. use formula for unbiased estimate of variance in MF15.
Thanks.
Cheers,
Wen Shih