Article View: sci.math.stat
Article #3661) Bootstrap 2) Standard deviation
From: David Nichols
Date: Fri, 14 Aug 1992 19:32
Date: Fri, 14 Aug 1992 19:32
18 lines
1524 bytes
1524 bytes
Bootstrapping refers to a methodology in which error estimates are produced by resampling with replacement from a finite set of data, in order to produce unbiased or less biased estimates of standard errors. This may be a simplistic defintion that can be improved upon by the more mathematically oriented, but it's the jist of it. The reason that n-1 is used in the denominator when calculating standard deviations of samples is that the squared standard deviation, the variance, is estimated in an unbiased manner by using n-1 instead of n. You've estimated a parameter (the mean) in calcuating the sum of squared deviations about the mean, so you have one less degree of freedom than when you started. Incidentally, either divisor produces a biased estimate of the population standard deviation. -- David Nichols Statistical Support Specialist SPSS, Inc. Phone: (312) 329-3684 Internet: nichols@spss.com Fax: (312) 329-3657 ******************************************************************************* Any correlation between my views and those of SPSS is strictly due to chance.
Technical Details
Message-ID:
<1992Aug14.193227.9029@spss.com>Path:
arc1-ca.pugleaf.net!sparky!uunet!ogicse!uwm.edu!daffy!uwvax!uchinews!spssig.spss.com!nicholsShow Full Headers
Complete Article Headers
Path: arc1-ca.pugleaf.net!sparky!uunet!ogicse!uwm.edu!daffy!uwvax!uchinews!spssig.spss.com!nichols From: nichols@spss.com (David Nichols) Newsgroups: sci.math.stat Subject: 1) Bootstrap 2) Standard deviation Message-ID: <1992Aug14.193227.9029@spss.com> Date: 14 Aug 92 19:32:27 GMT Article-I.D.: spss.1992Aug14.193227.9029 Sender: news@spss.com (Net News Admin) Organization: SPSS Inc. Lines: 18