Polypls: Difference between revisions

From Eigenvector Research Documentation Wiki
Jump to navigation Jump to search
imported>Jeremy
(Importing text file)
 
imported>Jeremy
 
(5 intermediate revisions by 2 users not shown)
Line 1: Line 1:
===Purpose===
===Purpose===
Calculate partial least squares regression models with polynomial inner relations.
Calculate partial least squares regression models with polynomial inner relations.
===Synopsis===
===Synopsis===
:[p,q,w,t,u,b,ssqdif] = polypls(x,y,lv,n)
:[p,q,w,t,u,b,ssqdif] = polypls(x,y,lv,n)
===Description===
===Description===
POLYPLS creates a partial least squares regression model with polynomial fit for the inner relation. Inputs are a matrix of predictor variables (x-block) x, a matrix of predicted variables (y-block) y, the number of latent variables lv, and the order of the polynomial n.
 
Outputs are p the x-block latent variable loadings, q the y-block variable loadings, w the x-block latent variable weights, t the x-block latent variable scores, u the y-block latent variable scores, b a matrix of polynomial coefficients for the inner relationship, and ssqdif a table of x- and y-block variance captured by the PLS model.
POLYPLS creates a partial least squares regression model with polynomial fit for the inner relation.
 
Use POLYPRED to make predictions with new data.
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===
===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