relative.condition {india} | R Documentation |
Relative change in the condition number
Description
Compute the relative condition index to identify collinearity-influential points in linear models.
Usage
relative.condition(x)
Arguments
x |
the model matrix |
Value
To assess the influence of the ith row of \bold{X}
on the condition index of \bold{X}
,
Hadi (1988) proposed the relative change,
\delta_i = \frac{\kappa_{(i)} - \kappa}{\kappa},
for i=1,\dots,n
, where \kappa = \kappa(\bold{X})
and \kappa_{(i)} = \kappa(\bold{X}_{(i)})
denote the (scaled) condition index for \bold{X}
and \bold{X}_{(i)}
, respectively.
References
Chatterjee, S., Hadi, A.S. (1988). Sensivity Analysis in Linear Regression. Wiley, New York.
Hadi, A.S. (1988). Diagnosing collinerity-influential observations. Computational Statistics & Data Analysis 7, 143-159. doi:10.1016/0167-9473(88)90089-8.
Examples
data(portland)
fm <- ridge(y ~ ., data = portland, x = TRUE)
x <- fm$x
rel <- relative.condition(x)
plot(rel, ylab = "Relative condition number", ylim = c(-0.1,0.4))
abline(h = 0, lty = 2, lwd = 2, col = "red")
text(3, rel[3], label = as.character(3), pos = 3)
[Package india version 0.1 Index]