plspm.formula: PLS Path Modeling Based on Formula In plspm.formula: Formula Based PLS Path Modeling

Description

This fonction estimate PLS Path Models specified using formula. The formulas using for the inner models and the outer models must respect the forms describe in the details section.

Usage

 1 2 3 plspm.formula(Formula,Data,modes=NULL,scaling=NULL,scheme="centroid", scaled=TRUE,tol=1e-06,maxiter=100,plscomp=NULL,boot.val=FALSE, br=NULL,dataset=TRUE,plot.outer=FALSE,plot.inner=TRUE)

Arguments

 Formula A string describe the the inner and outer model using formulas. The inner models are describe using "=~" and "~~" for the inner model. (see details and exemple) Data matrix or data frame containing the manifest variables. modes character vector indicating the type of measurement for each block. Possible values are: "A", "B", "newA", "PLScore", "PLScow". The length of modes must be equal to the length of blocks. scaling optional argument for runing the non-metric approach; it is a list of string vectors indicating the type of measurement scale for each manifest variable specified in blocks. scaling must be specified when working with non-metric variables. Possible values: "num" (linear transformation, suitable for numerical variables), "raw" (no transformation), "nom" (non-monotonic transformation, suitable for nominal variables), and "ord" (monotonic transformation, suitable for ordinal variables). scheme string indicating the type of inner weighting scheme. Possible values are "centroid", "factorial", or "path". scaled whether manifest variables should be standardized. Only used when scaling = NULL. When (TRUE, data is scaled to standardized values (mean=0 and variance=1). The variance is calculated dividing by N instead of N-1). tol decimal value indicating the tolerance criterion for the iterations (tol=0.000001). Can be specified between 0 and 0.001. maxiter integer indicating the maximum number of iterations (maxiter=100 by default). The minimum value of maxiter is 100. plscomp optional vector indicating the number of PLS components (for each block) to be used when handling non-metric data (only used if scaling is provided) boot.val whether bootstrap validation should be performed. (FALSE by default). br number bootstrap resamples. Used only when boot.val=TRUE. When boot.val=TRUE, the default number of re-samples is 100. dataset whether the data matrix used in the computations should be retrieved (TRUE by default). plot.outer Boolean specify if yes (plot.outer=TRUE) or not (plot.outer=FALSE) the outer plot may be printed. (FALSE by default). plot.inner Boolean specify if yes (plot.inner=TRUE) or not (plot.inner=FALSE) the outer plot may be printed. (TRUE by default).

Details

The function plspm.formula estimates a path model by partial least squares approach providing the full set of results as the plspm function of the 'plspm' package. The algorithm compute itself the path matrix and the blocks list. To do that, the model must be specify using the two rules below:

LatVar1 =~ ManVar1+ManVar2+ManVar3

Description of the relation between the latent variable (LatVar1) and its manifests variables (ManVar1, ManVar2 and ManVar3

LatVar3 ~~ LatVar1+LatVar2

Description of the relation between the latent variable (LatVar3) and the other latents variables (LatVar1 and ManVar2) linked to that variable

All the formulars must be in a single string with a newline as separator. Phisical new lines are generally used (see example).

Value

The result of the 'plspm.formula' is an objet of class 'plspm'. The return values are the same of the plspm fonction in the 'plspm' package.

Note

The formula approach of the PLS Path Modeling is need for the developement of the resilometric. Resilometrics is a new discipline under development for computational modeling of the resilience processes.

Author(s)

ACHIEPO Odilon Yapo M. <[email protected]>

References

Gaston Sanchez, Laura Trinchera and Giorgio Russolillo (2015). plspm: Tools for Partial Least Squares Path Modeling (PLS-PM). R package version 0.4.7. http://CRAN.R-project.org/package=plspm