Effects from Fitted Model
Returns (orthogonal) effects from a fitted model, usually a linear
model. This is a generic function, but currently only has a methods for
objects inheriting from classes
# S3 method for lm effects(object, set.sign = FALSE, …)
an R object; typically, the result of a model fitting function such as
TRUE, the sign of the effects corresponding to coefficients in the model will be set to agree with the signs of the corresponding coefficients, otherwise the sign is arbitrary.
arguments passed to or from other methods.
For a linear model fitted by
the effects are the uncorrelated single-degree-of-freedom values
obtained by projecting the data onto the successive orthogonal
subspaces generated by the QR decomposition during the fitting
process. The first \(r\) (the rank of the model) are associated with
coefficients and the remainder span the space of residuals (but are
not associated with particular residuals).
Empty models do not have effects.
A (named) numeric vector of the same length as
residuals, or a matrix if there were multiple responses
in the fitted model, in either case of class
The first \(r\) rows are labelled by the corresponding coefficients, and the remaining rows are unlabelled. Note that in rank-deficient models the corresponding coefficients will be in a different order if pivoting occurred.
Chambers, J. M. and Hastie, T. J. (1992) Statistical Models in S. Wadsworth & Brooks/Cole.
y <- c(1:3, 7, 5) x <- c(1:3, 6:7) ( ee <- effects(lm(y ~ x)) ) c( round(ee - effects(lm(y+10 ~ I(x-3.8))), 3) ) # just the first is different