addterm
Try All One-Term Additions to a Model
Try fitting all models that differ from the current model by adding a single term from those supplied, maintaining marginality.
This function is generic; there exist methods for classes lm
and
glm
and the default method will work for many other classes.
- Keywords
- models
Usage
addterm(object, ...)## S3 method for class 'default':
addterm(object, scope, scale = 0, test = c("none", "Chisq"),
k = 2, sorted = FALSE, trace = FALSE, ...)
## S3 method for class 'lm':
addterm(object, scope, scale = 0, test = c("none", "Chisq", "F"),
k = 2, sorted = FALSE, ...)
## S3 method for class 'glm':
addterm(object, scope, scale = 0, test = c("none", "Chisq", "F"),
k = 2, sorted = FALSE, trace = FALSE, ...)
Arguments
- object
- An object fitted by some model-fitting function.
- scope
- a formula specifying a maximal model which should include the current one. All additional terms in the maximal model with all marginal terms in the original model are tried.
- scale
- used in the definition of the AIC statistic for selecting the models,
currently only for
lm
,aov
andglm
models. Specifyingscale
asserts that the residual standard error or dispersion is known. - test
- should the results include a test statistic relative to the original
model? The F test is only appropriate for
lm
andaov
models, and perhaps for some over-dispersedglm
models. The Chisq test can be an exact test ( - k
- the multiple of the number of degrees of freedom used for the penalty.
Only
k=2
gives the genuine AIC:k = log(n)
is sometimes referred to as BIC or SBC. - sorted
- should the results be sorted on the value of AIC?
- trace
- if
TRUE
additional information may be given on the fits as they are tried. - ...
- arguments passed to or from other methods.
Details
The definition of AIC is only up to an additive constant: when
appropriate (lm
models with specified scale) the constant is taken
to be that used in Mallows' Cp statistic and the results are labelled
accordingly.
Value
- A table of class
"anova"
containing at least columns for the change in degrees of freedom and AIC (or Cp) for the models. Some methods will give further information, for example sums of squares, deviances, log-likelihoods and test statistics.
References
Venables, W. N. and Ripley, B. D. (2002) Modern Applied Statistics with S. Fourth edition. Springer.
See Also
Examples
quine.hi <- aov(log(Days + 2.5) ~ .^4, quine)
quine.lo <- aov(log(Days+2.5) ~ 1, quine)
addterm(quine.lo, quine.hi, test="F")
house.glm0 <- glm(Freq ~ Infl*Type*Cont + Sat, family=poisson,
data=housing)
addterm(house.glm0, ~. + Sat:(Infl+Type+Cont), test="Chisq")
house.glm1 <- update(house.glm0, . ~ . + Sat*(Infl+Type+Cont))
addterm(house.glm1, ~. + Sat:(Infl+Type+Cont)^2, test = "Chisq")