function?[XloadingsYloadingsXscoresYscores?...
????????????????????betapctVarmsestats]?=?plsregress（XYncompvarargin）
%PLSREGRESS?Partial?least?squares?regression.
%???[XLOADINGSYLOADINGS]?=?PLSREGRESS（XYNCOMP）?computes?a?partial?least
%???squares?regression?of?Y?on?X?using?NCOMP?PLS?components?or?latent
%???factors?and?returns?the?predictor?and?response?loadings.??X?is?an?N-by-P
%???matrix?of?predictor?variables?with?rows?corresponding?to?observations
%???columns?to?variables.??Y?is?an?N-by-M?response?matrix.??XLOADINGS?is?a
%???P-by-NCOMP?matrix?of?predictor?loadings?where?each?row?of?XLOADINGS
%???contains?coefficients?that?define?a?linear?combination?of?PLS?components
%???that?approximate?the?original?predictor?variables.??YLOADINGS?is?an
%???M-by-NCOMP?matrix?of?response?loadings?where?each?row?of?YLOADINGS
%???contains?coefficients?that?define?a?linear?combination?of?PLS?components
%???that?approximate?the?original?response?variables.
%
%???[XLOADINGSYLOADINGSXSCORES]?=?PLSREGRESS（XYNCOMP）?returns?the
%???predictor?scores?i.e.?the?PLS?components?that?are?linear?combinations?of
%???the?variables?in?X.??XSCORES?is?an?N-by-NCOMP?orthonormal?matrix?with?rows
%???corresponding?to?observations?columns?to?components.
%
%???[XLOADINGSYLOADINGSXSCORESYSCORES]?=?PLSREGRESS（XYNCOMP）
%???returns?the?response?scores?i.e.?the?linear?combinations?of?the
%???responses?with?which?the?PLS?components?XSCORES?have?maximum?covariance.
%???YSCORES?is?an?N-by-NCOMP?matrix?with?rows?corresponding?to?observations
%???columns?to?components.??YSCORES?is?neither?orthogonal?nor?normalized.
%
%???PLSREGRESS?uses?the?SIMPLS?algorithm?and?first?centers?X?and?Y?by
%???subtracting?off?column?means?to?get?centered?variables?X0?and?Y0.
%???However?it?does?not?rescale?the?columns.??To?perform?partial?least
%???squares?regression?with?standardized?variables?use?ZSCORE?to?normalize?X
%???and?Y.
%
%???If?NCOMP?is?omitted?its?default?value?is?MIN（SIZE（X1）-1?SIZE（X2））.
%
%???The?relationships?between?the?scores?loadings?and?centered?variables?X0
%???and?Y0?are
%
%??????XLOADINGS?=?（XSCORES\X0）‘?=?X0‘*XSCORES
%??????YLOADINGS?=?（XSCORES\Y0）‘?=?Y0‘*XSCORES
%
%???i.e.?XLOADINGS?and?YLOADINGS?are?the?coefficients?from?regressing?X0?and
%???Y0?on?XSCORES?and?XSCORES*XLOADINGS‘?and?XSCORES*YLOADINGS‘?are?the?PLS
%???approximations?to?X0?and?Y0.??PLSREGRESS?initially?computes?YSCORES?as
%
%??????YSCORES?=?Y0*YLOADINGS?=?Y0*Y0‘*XSCORES
%
%???however?by?convention?PLSREGRESS?then?orthogonalizes?each?column?of
%???YSCORES?with?respect?to?preceding?columns?of?XSCORES?so?that
%???XSCORES‘*YSCORES?is?lower?triangular.
%
%???[XLYLXSYSBETA]?=?PLSREGRESS（XYNCOMP...）?returns?the?PLS?regression
%???coefficients?BETA.??BETA?is?a?（P+1）-by-M?matrix?containing?intercept
%???terms?in?the?first?row?i.e.?Y?=?[ONES（N1）?X]*BETA?+?RESIDUALS?and
%???Y0?=?X0*BETA（2:END:）?+?RESIDUALS.
%
%???[XLY

?屬性????????????大小?????日期????時間???名稱
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?????文件???????16482??2017-05-18?17:31??plsregress.m