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Science Forum Index » Statistics - Education Forum » Estimating variance of subsample given only variance...
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Posted: Thu May 22, 2008 3:17 am |
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Guest
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Is there any estimate for a variance of the subset of N-samples? Say I
have 1000 samples and I only know the mean and variance, what would
the variance of the 100 sub samples be? |
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| Ray Koopman... |
Posted: Thu May 22, 2008 12:00 pm |
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On May 22, 6:17 am, mrmaxx2 at (no spam) gmail.com wrote:
Quote: Is there any estimate for a variance of the subset of N-samples? Say I
have 1000 samples and I only know the mean and variance, what would
the variance of the 100 sub samples be?
Regarding the variance of a subset of n values drawn randomly without
replacement from a finite population of N values, the best you can say
is that the expected value of the subset variance (i.e., the mean of
all possible N_choose_n subset variances) equals the population
variance, provided you calculate the population and subsets variances
using denominators of N-1 and n-1, respectively. |
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