bootstrapVarElimination_Res {FRESA.CAD} | R Documentation |
NeRI-based backwards variable elimination with bootstrapping
Description
This function removes model terms that do not improve the bootstrapped net residual improvement (NeRI) significantly.
Usage
bootstrapVarElimination_Res(object,
pvalue = 0.05,
Outcome = "Class",
data,
startOffset = 0,
type = c("LOGIT", "LM", "COX"),
testType = c("Binomial",
"Wilcox",
"tStudent",
"Ftest"),
loops = 64,
setIntersect = 1,
print=TRUE,
plots=TRUE
)
Arguments
object |
An object of class |
pvalue |
The maximum p-value, associated to the NeRI, allowed for a term in the model |
Outcome |
The name of the column in |
data |
A data frame where all variables are stored in different columns |
startOffset |
Only terms whose position in the model is larger than the |
type |
Fit type: Logistic ("LOGIT"), linear ("LM"), or Cox proportional hazards ("COX") |
testType |
Type of non-parametric test to be evaluated by the |
loops |
The number of bootstrap loops |
setIntersect |
The intersect of the model (To force a zero intersect, set this value to 0) |
print |
Logical. If |
plots |
Logical. If |
Details
For each model term x_i
, the residuals are computed for the Full model and the reduced model( where the term x_i
removed).
The term whose removal results in the smallest drop in bootstrapped test residuals improvement is selected. The hypothesis: the
term improves residuals is tested by checking the p-value of average improvement. If p(residuals better than reduced residuals)>pvalue
, then the term is removed.
In other words, only model terms that significantly aid in improving residuals are kept.
The procedure is repeated until no term fulfils the removal criterion.
The p-values of improvement can be computed via a sign-test (Binomial) a paired Wilcoxon test, paired t-test or f-test. The first three tests compare the absolute values of
the residuals, while the f-test test if the variance of the residuals is improved significantly.
Value
back.model |
An object of the same class as |
loops |
The number of loops it took for the model to stabilize |
reclas.info |
A list with the NeRI statistics of the reduced model, as given by the |
bootCV |
An object of class |
back.formula |
An object of class |
lastRemoved |
The name of the last term that was removed (-1 if all terms were removed) |
at.opt.model |
The model with close to minimum bootstrapped RMSE |
beforeFSC.formula |
The formula of the model before the FSC stage |
at.RMSE.formula |
the string formula of the model that had the minimum or close to minimum RMSE |
Author(s)
Jose G. Tamez-Pena and Antonio Martinez-Torteya
See Also
bootstrapVarElimination_Bin,
backVarElimination_Res,
bootstrapValidation_Res