biotools (version 4.3)

pathanalysis: Path Analysis, Simple and Under Collinearity

Description

Function to perform the simple path analysis and the path analysis under collinearity (sometimes called ridge path analysis). It computes the direct (diagonal) and indirect (off-diagonal) effects of each explanatory variable over a response one.

Usage

pathanalysis(corMatrix, resp.col, collinearity = FALSE)

Value

A list of

coef

a matrix containing the direct (diagonal) and indirect (off-diagonal) effects of each variable.

Rsq

the coefficient of determination.

ResidualEffect

the residual effect.

VIF

a vector containing the variance inflation factors.

CN

the condition number.

Arguments

corMatrix

a correlation matrix.

resp.col

an integer value indicating the column in corMatrix that corresponds to the response variable.

collinearity

logical; if TRUE, an external interactive display is used to pass a value, say k, at which to evaluate the system: (X'X + Ik)B = X'Y, being X'X the correlation matrix between explanatory variables, X'Y the correlation vector between all explanatory variables and the response variable, B is the vector of path coefficients and k is a value between 0 and 1; default is FALSE, i.e., k = 0.

Side Effects

If collinearity = TRUE, an interactive graphic is displayed for dealing with collinearity.

Author

Anderson Rodrigo da Silva <[e-mail]>

References

Carvalho, S.P. (1995) Metodos alternativos de estimacao de coeficientes de trilha e indices de selecao, sob multicolinearidade. Ph.D. Thesis, Federal University of Vicosa (UFV), Vicosa, MG, Brazil.

Examples

data(peppercorr)
pathanalysis(peppercorr, 6, collinearity = FALSE)

# End (not run)