hccm {car}R Documentation

Heteroscedasticity-Corrected Covariance Matrices

Description

Calculates heteroscedasticity-corrected covariance matrices for unweighted linear models. These are also called ``White-corrected'' covariance matrices.

Usage

hccm(model, ...)

## S3 method for class 'lm':
hccm(model, type=c("hc3", "hc0", "hc1", "hc2", "hc4"), ...)

## Default S3 method:
hccm(model, ...)

Arguments

model an unweighted linear model, produced by lm.
type one of "hc0", "hc1", "hc2", "hc3", or "hc4"; the first of these gives the classic White correction. The "hc1", "hc2", and "hc3" corrections are described in Long and Ervin (2000); "hc4" is described in Cribari-Neto (2004).
... arguments to pass to hccm.lm.

Details

The classical White-corrected coefficient covariance matrix ("hc0") is

V(b) = inv(X'X) X' diag(e^2) X inv(X'X)

where e^2 are the squared residuals, and X is the model matrix. The other methods represent adjustments to this formula.

The function hccm.default simply catches non-lm objects.

Value

The heteroscedasticity-corrected covariance matrix for the model.

Author(s)

John Fox jfox@mcmaster.ca

References

Cribari-Neto, F. (2004) Asymptotic inference under heteroskedasticity of unknown form. Computational Statistics and Data Analysis 45, 215–233.

Long, J. S. and Ervin, L. H. (2000) Using heteroscedasity consistent standard errors in the linear regression model. The American Statistician 54, 217–224.

White, H. (1980) A heterskedastic consistent covariance matrix estimator and a direct test of heteroskedasticity. Econometrica 48, 817–838.

See Also

ncv.test, spread.level.plot

Examples

options(digits=4)
mod<-lm(interlocks~assets+nation, data=Ornstein)
Var(mod)
##             (Intercept)     assets  nationOTH   nationUK   nationUS
## (Intercept)   1.079e+00 -1.588e-05 -1.037e+00 -1.057e+00 -1.032e+00
## assets       -1.588e-05  1.642e-09  1.155e-05  1.362e-05  1.109e-05
## nationOTH    -1.037e+00  1.155e-05  7.019e+00  1.021e+00  1.003e+00
## nationUK     -1.057e+00  1.362e-05  1.021e+00  7.405e+00  1.017e+00
## nationUS     -1.032e+00  1.109e-05  1.003e+00  1.017e+00  2.128e+00
hccm(mod)             
##             (Intercept)     assets  nationOTH   nationUK   nationUS
## (Intercept)   1.664e+00 -3.957e-05 -1.569e+00 -1.611e+00 -1.572e+00
## assets       -3.957e-05  6.752e-09  2.275e-05  3.051e-05  2.231e-05
## nationOTH    -1.569e+00  2.275e-05  8.209e+00  1.539e+00  1.520e+00
## nationUK     -1.611e+00  3.051e-05  1.539e+00  4.476e+00  1.543e+00
## nationUS     -1.572e+00  2.231e-05  1.520e+00  1.543e+00  1.946e+00

[Package car version 1.1-0 Index]