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Re: Sampling From Finite Population with Replacement
Posted:
Sep 29, 2010 8:12 AM
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On Sep 29, 3:56 pm, "Luis A. Afonso" <lic...@hotmail.com> wrote:
> When a problem is ill posed it is difficult to get what it is really asked for.
> Suppose I generate data from a NORMAL MODEL N(mu, var). Considering any finite set N of values we know that, generally speaking, the sample mean, m, does not coincide with mu.
> _______ mu = m + bias
> This bias tends to ZERO when N grows ro infinity.
> The same way in what concerns variance and its unbiased estimator, the sample variance, svar, which?s the sum of the squared deviations divided by N-1.
> ________ svar = var + bias´
I don't know what question you answered here but I will disagree with
you here again. What you are describing here is not a bias, it is a
random error. If N is a random sampling from the normal model you
specified, calculated sample mean contains a random error not a bias
because error is just related to samples you selected, not to a
systematic mistake you made in your experiment.
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