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8/10/2015 lasp.colorado.edu/cism/CISM_DX/code/CISM_DX0.50/required_packages/octaveforge/extra/NaN/zscore.m http://lasp.colorado.edu/cism/CISM_DX/code/CISM_DX0.50/required_packages/octaveforge/extra/NaN/zscore.m 1/1 function i = zscore(i,DIM) % ZSCORE removes the mean and normalizes the data % to a variance of 1. % % z = zscore(x,DIM) % calculates the z‐score of x along dimension DIM % it removes the % % DIM dimension % 1: STATS of columns % 2: STATS of rows % default or []: first DIMENSION, with more than 1 element % % features: % ‐ can deal with NaN's (missing values) % ‐ dimension argument % ‐ compatible to Matlab and Octave % % see also: SUMSKIPNAN, MEAN, STD, DETREND % % REFERENCE(S): % [1] http://mathworld.wolfram.com/z‐Score.html % This program is free software; you can redistribute it and/or modify % it under the terms of the GNU General Public License as published by % the Free Software Foundation; either version 2 of the License, or % (at your option) any later version. % % This program is distributed in the hope that it will be useful, % but WITHOUT ANY WARRANTY; without even the implied warranty of % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the % GNU General Public License for more details. % % You should have received a copy of the GNU General Public License % along with this program; if not, write to the Free Software % Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111‐1307 USA % Copyright (C) 2000‐2003 by Alois Schloegl <[email protected]> % $Revision: 1.14 $ % $Id: zscore.m,v 1.14 2003/10/09 09:00:50 schloegl Exp $ if any(size(i)==0); return; end; if nargin < 2, [S,N,SSQ] = sumskipnan(i); % sum else [S,N,SSQ] = sumskipnan(i,DIM); % sum end; M = S./N; i = i ‐ repmat(M,size(i)./size(S)); % remove mean i = i.*repmat(sqrt((SSQ‐real(S).*real(M)‐imag(S).*imag(M)).\max(N‐1,0)),size(i)./size(S)); % normalize by STD

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8/10/2015 lasp.colorado.edu/cism/CISM_DX/code/CISM_DX0.50/required_packages/octaveforge/extra/NaN/zscore.mhttp://lasp.colorado.edu/cism/CISM_DX/code/CISM_DX0.50/required_packages/octaveforge/extra/NaN/zscore.m 1/1functioni=zscore(i,DIM)%ZSCOREremovesthemeanandnormalizesthedata%toavarianceof1.%%z=zscore(x,DIM)%calculatesthezscoreofxalongdimensionDIM%itremovesthe%%DIM dimension% 1:STATSofcolumns% 2:STATSofrows% defaultor[]:firstDIMENSION,withmorethan1element%%features:%candealwithNaN's(missingvalues)%dimensionargument%compatibletoMatlabandOctave%%seealso:SUMSKIPNAN,MEAN,STD,DETREND%%REFERENCE(S):%[1]http://mathworld.wolfram.com/zScore.html%Thisprogramisfreesoftware;youcanredistributeitand/ormodify%itunderthetermsoftheGNUGeneralPublicLicenseaspublishedby%theFreeSoftwareFoundation;eitherversion2oftheLicense,or%(atyouroption)anylaterversion.%%Thisprogramisdistributedinthehopethatitwillbeuseful,%butWITHOUTANYWARRANTY;withouteventheimpliedwarrantyof%MERCHANTABILITYorFITNESSFORAPARTICULARPURPOSE.Seethe%GNUGeneralPublicLicenseformoredetails.%%YoushouldhavereceivedacopyoftheGNUGeneralPublicLicense%alongwiththisprogram;ifnot,writetotheFreeSoftware%Foundation,Inc.,59TemplePlace,Suite330,Boston,MA021111307USA% Copyright(C)20002003byAloisSchloegl % $Revision:1.14$% $Id:zscore.m,v1.142003/10/0909:00:50schloeglExp$ifany(size(i)==0);return;end;ifnargin


Lesson 8 zscore

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