Learn R Programming

Rfit (version 0.27.0)

disp: Jaeckel's Dispersion Function

Description

Returns the value of Jaeckel's dispersion function for given values of the regression coefficents.

Usage

disp(beta, x, y, scores)

Arguments

beta

p by 1 vector of regression coefficents

x

n by p design matrix

y

n by 1 response vector

scores

an object of class scores

Author

John Kloke, Joseph McKean

Details

Returns the value of Jaeckel's disperion function evaluated at the value of the parameters in the function call. That is, \(sum_{i=1}^n a(R(e_i)) * e_i\) where R denotes rank and a(1) <= a(2) <= ... <= a(n) are the scores. The residuals (e_i i=1,...n) are calculated y - x beta.

References

Hettmansperger, T.P. and McKean J.W. (2011), Robust Nonparametric Statistical Methods, 2nd ed., New York: Chapman-Hall.

Jaeckel, L. A. (1972). Estimating regression coefficients by minimizing the dispersion of residuals. Annals of Mathematical Statistics, 43, 1449 - 1458.

See Also

rfit drop.test summary.rfit