Polypls: Difference between revisions

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POLYPLS creates a partial least squares regression model with polynomial fit for the inner relation.
POLYPLS creates a partial least squares regression model with polynomial fit for the inner relation.
Outputs are <tt>p</tt> the x-block latent variable loadings, <tt>q</tt> the y-block variable loadings, <tt>w</tt> the x-block latent variable weights, <tt>t</tt> the x-block latent variable scores, <tt>u</tt> the y-block latent variable scores, <tt>b</tt> a matrix of polynomial coefficients for the inner relationship, and <tt>ssqdif</tt> a table of x- and y-block variance captured by the PLS model.


Use POLYPRED to make predictions with new data.
Use POLYPRED to make predictions with new data.
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* '''t''' = x-block scores,
* '''t''' = x-block scores,
* '''u''' = y-block scores,
* '''u''' = y-block scores,
* '''b''' = matrix of inner-relation coefficients,
* '''b''' = matrix of polynomial coefficients for the inner-relation,
* '''ssq''' = table of variance explained per component.  
* '''ssqdif''' = table of x- and y-block variance captured by the PLS model.


===Options===
===Options===
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options =  a structure array with the following fields:
options =  a structure array with the following fields:


* '''plots''': [ {'none'} | 'final' ] governs plotting of results, and
* '''display''': [ 'off' | {'on'} ] governs display of SSQ table
* '''order''': positive integer for polynomial order {default = 1}.
 


===See Also===
===See Also===


[[lwrxy]], [[pls]], [[polypred]]
[[lwrxy]], [[pls]], [[polypred]]

Latest revision as of 14:04, 9 June 2014

Purpose

Calculate partial least squares regression models with polynomial inner relations.

Synopsis

[p,q,w,t,u,b,ssqdif] = polypls(x,y,lv,n)

Description

POLYPLS creates a partial least squares regression model with polynomial fit for the inner relation.

Use POLYPRED to make predictions with new data.

Inputs

  • x = matrix of predictor variables (X-block),
  • y = vector or matrix of the predicted variables (Y-block),
  • lv = maximum number of latent variables to consider,
  • n = order of polynomial to use for the inner-relation.

Outputs

  • p = x-block loadings,
  • q = y-block loadings,
  • w = x-block weights,
  • t = x-block scores,
  • u = y-block scores,
  • b = matrix of polynomial coefficients for the inner-relation,
  • ssqdif = table of x- and y-block variance captured by the PLS model.

Options

options = a structure array with the following fields:

  • display: [ 'off' | {'on'} ] governs display of SSQ table

See Also

lwrxy, pls, polypred