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function [cdata,me,ctest]=center(data,opt,newdata); %# %# AIM: Centering along columns, rows or double centering %# %# PRINCIPLE: Removal of the column-, row- or overall mean from %# each column, row or both, respectively %# If a test data set is available it can ONLY be %# column centered using the mean from the calibration %# data set. %# %# %# INPUT: data: (m x n) matrix with m rows and n variables %# opt: optional %# 1 = column centering %# 2 = row centering %# 3 = double centering %# newdata: (mt x n) test matrix with mt rows and n variables %# %# %# OUTPUT: cdata: (m x n) matrix containing centered data %# me: mean vector, overall mean (scalar) %# newdata: (mt*n) test matrix centered with the mean of data %# %# %# AUTHOR: Andrea Candolfi %# Copyright(c) 1997 for ChemoAc %# FABI, Vrije Universiteit Brussel %# Laarbeeklaan 103 1090 Jette %# %# VERSION: 1.2 (25/02/2002) %# %# TEST: I. Stanimirova & S. Gourvénec & M. Zhang %# function [cdata,me,cnewdata]=center(data,opt,newdata); [m,n]=size(data); if nargin==1; opt=[4]; while opt>3 | opt<=0 opt=input('column centering(1), row centering(2), double centering(3):'); end end if opt==1 % column centering me=mean(data); cdata=data-ones(m,1)*me; end if opt==2 % row centering me=mean(data')'; cdata=data-me*ones(1,n); end if opt==3 % double centering me=mean(mean(data)); mej=mean(data'); mei=mean(data); cdata=data-(ones(m,1)*mei)-(ones(n,1)*mej)'+(ones(m,n)*me); end if exist('newdata')==1 % center new data [mt,n]=size(newdata); if opt==1 % column centering me=mean(data); cnewdata=newdata-ones(mt,1)*me; else error('Row centering and double centering are impossible to perform on a test set'); end end |
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