mlmWithCov: Uses covariance/correlation matrix to calculate multivariate...

In dominanceanalysis: Dominance Analysis

Description

Calculate R^2_{XY} and P^2_{YX} for multivariate regression Could be used with dominanceAnalysis to perform a multivariate dominance analysis without original data.

Usage

mlmWithCov(f, x)

Arguments

f	formula. Should use cbind(y1,y2,...,yk)~x1+x2+..+xp
x	correlation/covariance matrix

Value

r.squared.xy	R^2_{XY} of the regression
p.squared.yx	P^2_{YX} of the regression
formula	formula provided as parameter
cov	covariance/correlation matrix provided as parameter

Examples

library(car)
cor.m<-matrix(c(
 1.0000000, 0.7951377, 0.2617168, 0.6720053, 0.3390278,
 0.7951377, 1.0000000, 0.3341037, 0.5876337, 0.3404206,
 0.2617168, 0.3341037, 1.0000000, 0.3703162, 0.2114153,
 0.6720053, 0.5876337, 0.3703162, 1.0000000, 0.3548077,
 0.3390278, 0.3404206, 0.2114153, 0.3548077, 1.0000000),
 5,5,
 byrow = TRUE,
 dimnames = list(
   c("na","ss","SAT","PPVT","Raven"),
   c("na","ss","SAT","PPVT","Raven")))
lwith<-mlmWithCov(cbind(na,ss)~SAT+PPVT+Raven,cor.m)
da<-dominanceAnalysis(lwith)
print(da)
summary(da)

Example output

Loading required package: carData

Dominance analysis
Predictors: SAT, PPVT, Raven 
Fit-indices: r.squared.xy, p.squared.yx 

* Fit index:  r.squared.xy 
      complete conditional  general
SAT                                
PPVT  SAT,Ravn    SAT,Ravn SAT,Ravn
Raven                           SAT

Average contribution:
 PPVT Raven   SAT 
0.371 0.065 0.058 
* Fit index:  p.squared.yx 
      complete conditional  general
SAT                                
PPVT  SAT,Ravn    SAT,Ravn SAT,Ravn
Raven                           SAT

Average contribution:
 PPVT Raven   SAT 
0.189 0.033 0.033 

* Fit index:  r.squared.xy 

Average contribution of each variable:

 PPVT Raven   SAT 
0.371 0.065 0.058 

Dominance Analysis matrix:
           model level   fit   SAT  PPVT Raven
               1     0     0 0.112 0.459 0.129
             SAT     1 0.112       0.368 0.088
            PPVT     1 0.459  0.02       0.017
           Raven     1 0.129 0.071 0.348      
 Average level 1     1       0.046 0.358 0.053
        SAT+PPVT     2 0.479             0.015
       SAT+Raven     2   0.2       0.294      
      PPVT+Raven     2 0.477 0.018            
 Average level 2     2       0.018 0.294 0.015
  SAT+PPVT+Raven     3 0.494                  

* Fit index:  p.squared.yx 

Average contribution of each variable:

 PPVT Raven   SAT 
0.189 0.033 0.033 

Dominance Analysis matrix:
           model level   fit   SAT  PPVT Raven
               1     0     0 0.056  0.23 0.064
             SAT     1 0.056       0.192 0.045
            PPVT     1  0.23 0.018        0.01
           Raven     1 0.064 0.036 0.175      
 Average level 1     1       0.027 0.184 0.027
        SAT+PPVT     2 0.248             0.008
       SAT+Raven     2 0.101       0.155      
      PPVT+Raven     2  0.24 0.016            
 Average level 2     2       0.016 0.155 0.008
  SAT+PPVT+Raven     3 0.256                  

dominanceanalysis documentation built on Jan. 13, 2021, 3:47 p.m.