The sample variance (assuming that you use the n-1 divisor) is an
unbiased estimator of the population variance provided you use random
sampling. Note the ing on the word sampling, it is not quite correct
to talk about random samples or independent samples. or at least it
may be mis-leading.
Title: RE: [ai-geostats] Continuing discussion on F and t tests
I'd agree with Don's point about the sample variance being unbaised under random sampling. Because of the linearity of the estimate, the lack of independence of samples is not a problem here. This should not be confused
Thanks Donald,
I think what you mean by adequately is the sampling with CSR (complete
spatial randomness) -- please correct me if I'm wrong. But I still have
problem about estimating the variance. I mean, even if we sample with
CSR, wouldn't the sample variance still be smaller than the sill