# simpls.fit

From pls v2.5-0
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##### Sijmen de Jong's SIMPLS

Fits a PLSR model with the SIMPLS algorithm.

Keywords
multivariate, regression
##### Usage
simpls.fit(X, Y, ncomp, stripped = FALSE, ...)
##### Arguments
X
a matrix of observations. NAs and Infs are not allowed.
Y
a vector or matrix of responses. NAs and Infs are not allowed.
ncomp
the number of components to be used in the modelling.
stripped
logical. If TRUE the calculations are stripped as much as possible for speed; this is meant for use with cross-validation or simulations when only the coefficients are needed. Defaults to FALSE.
...
other arguments. Currently ignored.
##### Details

This function should not be called directly, but through the generic functions plsr or mvr with the argument method="simpls". SIMPLS is much faster than the NIPALS algorithm, especially when the number of X variables increases, but gives slightly different results in the case of multivariate Y. SIMPLS truly maximises the covariance criterion. According to de Jong, the standard PLS2 algorithms lie closer to ordinary least-squares regression where a precise fit is sought; SIMPLS lies closer to PCR with stable predictions.

##### Value

coefficients
an array of regression coefficients for 1, ..., ncomp components. The dimensions of coefficients are c(nvar, npred, ncomp) with nvar the number of X variables and npred the number of variables to be predicted in Y.
scores
a matrix of scores.
Yscores
a matrix of Y-scores.
projection
the projection matrix used to convert X to scores.
Xmeans
a vector of means of the X variables.
Ymeans
a vector of means of the Y variables.
fitted.values
an array of fitted values. The dimensions of fitted.values are c(nobj, npred, ncomp) with nobj the number samples and npred the number of Y variables.
residuals
an array of regression residuals. It has the same dimensions as fitted.values.
Xvar
a vector with the amount of X-variance explained by each number of components.
Xtotvar
Total variance in X.
If stripped is TRUE, only the components coefficients, Xmeans and Ymeans are returned.

##### References

de Jong, S. (1993) SIMPLS: an alternative approach to partial least squares regression. Chemometrics and Intelligent Laboratory Systems, 18, 251--263.

mvr plsr pcr kernelpls.fit widekernelpls.fit oscorespls.fit