partial.R2 {asbio} R Documentation

## Partial correlations of determination in multiple regression

### Description

Calculates the partial correlation of determination for a variable of interest in a multiple regression.

### Usage


partial.R2(nested.lm, ref.lm)


### Arguments

 nested.lm A linear model without the variable of interest. ref.lm A linear model with the variable of interest.

### Details

Coefficients of partial determination measure the proportional reduction in sums of squares after a variable of interest, X, is introduced into a model. We can see how this would be of interest in a multiple regression.

### Value

The partial R^2 is returned.

Ken Aho

### References

Kutner, M. H., Nachtsheim, C. J., Neter, J., and W. Li. (2005) Applied Linear Statistical Models, 5th edition. McGraw-Hill, Boston.

cor, partial.resid.plot

### Examples

Soil.C<-c(13,20,10,11,2,25,30,25,23)
Soil.N<-c(1.2,2,1.5,1,0.3,2,3,2.7,2.5)
Slope<-c(15,14,16,12,10,18,25,24,20)
Aspect<-c(45,120,100,56,5,20,5,15,15)
Y<-as.vector(c(20,30,10,15,5,45,60,55,45))

lm.with<-lm(Y~Soil.C+Soil.N+Slope+Aspect)
lm.without<-update(lm.with, ~. - Soil.N)

partial.R2(lm.without,lm.with)


[Package asbio version 1.9-7 Index]