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Article #382

Re: Standard Deviation.

#382
From: G M Collis
Date: Mon, 17 Aug 1992 09:35
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What intrigues me is that the most elementary stats texts make a big
fuss about using n-1 for an unbiased estimate of the variance, but ignore
the fact that this gives a biased estimate for the SD. I recall
that n - 1.5 is nearer the target for the SD when the sample is
from a normally distributed population. I gather that minimising
the bias when estimating the SD is rather sensitive to the population
distribution - I'd like to know more about this.  But my big puzzle
remains - why is the biasedness of the usual SD estimator (with N-1)
so rarely mentioned, in stark contrast to the case of the variance.
Glyn M. Collis.
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!uknet!warwick!psrdj
From: psrdj@warwick.ac.uk (G M Collis)
Newsgroups: sci.math.stat
Subject: Re: Standard Deviation.
Keywords: (n) versus (n-1)
Message-ID: <c48nbgtf@csv.warwick.ac.uk>
Date: 17 Aug 92 09:35:38 GMT
References: <1992Aug14.172833.11844@cbfsb.cb.att.com>
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Organization: Dept of Psychology, Warwick University, UK
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