Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!yale!cs.yale.edu!doctor.chem.yale.edu From: jim@doctor.chem.yale.edu (James F. Blake) Newsgroups: comp.lang.c Subject: Re: RMS deviation between two sets of cartesian coords Message-ID: <27637@cs.yale.edu> Date: 6 Dec 90 20:46:50 GMT References: <14666@smoke.brl.mil> Sender: news@cs.yale.edu Lines: 15 Nntp-Posting-Host: doctor.chem.yale.edu From article <14666@smoke.brl.mil>, by gwyn@smoke.brl.mil (Doug Gwyn): > > It's hard to see how you could get 5% fuzz in a variance computation > if you use the direct definition (sums of squares of deviations). > The textbook rewrite as mean-of-squares minus square-of-mean is well > known to produce bogus answers, however, particularly when the variance > is relatively small. You're correct. I believe the problem was a combination of the equations and a "feature." The original code allowed the axis to be transformed such that they were nonorthogonal, if this would produce a better fit. This probably produced most of the fuzz. Thanks to all who have responded, your insight is very much appreciated. Jim