backward: Backward Elimination of Model Terms in 'logistf' Models

In logistf: Firth's Bias-Reduced Logistic Regression

Description

These functions provide simple backward elimination/forward selection procedures for logistf models

Usage

backward(object, scope, steps = 1000, slstay = 0.05, trace = TRUE,
   printwork = FALSE, ...)
forward(object, scope, steps = 1000, slentry = 0.05, trace = TRUE, 
 printwork = FALSE, pl = TRUE, ...)

Arguments

object	A fitted logistf model object. To start with an empty model, create a model fit with a formula=<y>~1, pl=FALSE. (Replace <y> by your response variable.)
scope	The scope of variables to add/drop from the model. If left blank, backward will use the terms of the object fit, and forward will use all variables in object$data not identified as the response variable. Alternatively, an arbitrary vector of variable names can be given, to allow that only some of the variables will be competitively selected or dropped.
steps	The number of forward selection/backward elimination steps.
slstay	For backward, the significance level to stay in the model.
slentry	For forward, the significance level to enter the model.
trace	If TRUE, protocols selection steps.
printwork	If TRUE, prints each working model that is visited by the selection procedure.
pl	For forward, computes profile likelihood confidence intervals for the final model if TRUE.
...	Further arguments to be passed to methods.

Details

The variable selection is simply performed by repeatedly calling add1 or drop1 methods for logistf, and is based on penalized likelihood ratio test. It can also properly handle variables that were defined as factors in the original data set.

Value

An updated logistf fit with the finally selected model.

Author(s)

Georg Heinze

Examples

data(sex2)
fit<-logistf(data=sex2, case~1, pl=FALSE)
fitf<-forward(fit)

fit2<-logistf(data=sex2, case~age+oc+vic+vicl+vis+dia)
fitb<-backward(fit2)

Example output

Step  0 : starting model
Step  1 : added  dia  (P= 0.01167743 )
Step  2 : added  age  (P= 0.01048724 )
Step  3 : added  vicl  (P= 0.01069806 )
Step  4 : added  vic  (P= 2.580552e-07 )

Step  0 : starting model
Step  1 : removed  oc  (P= 0.8751911 )
Step  2 : removed  vis  (P= 0.05158225 )

logistf documentation built on May 30, 2017, 5:25 a.m.