This function computes the Cox Model based on PLSR components computed model with

• as the response: the Residuals of a Cox-Model fitted with no covariate

• as explanatory variables: Xplan.

It uses the package mixOmics to perform PLSR fit.

coxplsDR(Xplan, ...)

# S3 method for default
coxplsDR(
Xplan,
time,
time2,
event,
type,
origin,
typeres = "deviance",
collapse,
weighted,
scaleX = TRUE,
scaleY = TRUE,
ncomp = min(7, ncol(Xplan)),
modepls = "regression",
plot = FALSE,
allres = FALSE,
...
)

# S3 method for formula
coxplsDR(
Xplan,
time,
time2,
event,
type,
origin,
typeres = "deviance",
collapse,
weighted,
scaleX = TRUE,
scaleY = TRUE,
ncomp = min(7, ncol(Xplan)),
modepls = "regression",
plot = FALSE,
allres = FALSE,
dataXplan = NULL,
subset,
weights,
model_frame = FALSE,
...
)

## Arguments

Xplan a formula or a matrix with the eXplanatory variables (training) dataset Arguments to be passed on to survival::coxph. for right censored data, this is the follow up time. For interval data, the first argument is the starting time for the interval. The status indicator, normally 0=alive, 1=dead. Other choices are TRUE/FALSE (TRUE = death) or 1/2 (2=death). For interval censored data, the status indicator is 0=right censored, 1=event at time, 2=left censored, 3=interval censored. Although unusual, the event indicator can be omitted, in which case all subjects are assumed to have an event. ending time of the interval for interval censored or counting process data only. Intervals are assumed to be open on the left and closed on the right, (start, end]. For counting process data, event indicates whether an event occurred at the end of the interval. character string specifying the type of censoring. Possible values are "right", "left", "counting", "interval", or "interval2". The default is "right" or "counting" depending on whether the time2 argument is absent or present, respectively. for counting process data, the hazard function origin. This option was intended to be used in conjunction with a model containing time dependent strata in order to align the subjects properly when they cross over from one strata to another, but it has rarely proven useful. character string indicating the type of residual desired. Possible values are "martingale", "deviance", "score", "schoenfeld", "dfbeta", "dfbetas", and "scaledsch". Only enough of the string to determine a unique match is required. vector indicating which rows to collapse (sum) over. In time-dependent models more than one row data can pertain to a single individual. If there were 4 individuals represented by 3, 1, 2 and 4 rows of data respectively, then collapse=c(1,1,1,2,3,3,4,4,4,4) could be used to obtain per subject rather than per observation residuals. if TRUE and the model was fit with case weights, then the weighted residuals are returned. Should the Xplan columns be standardized ? Should the time values be standardized ? The number of components to include in the model. The number of components to fit is specified with the argument ncomp. It this is not supplied, the maximal number of components is used. character string. What type of algorithm to use, (partially) matching one of "regression", "canonical", "invariant" or "classic". See pls for details Should the survival function be plotted ?) FALSE to return only the Cox model and TRUE for additionnal results. See details. Defaults to FALSE. an optional data frame, list or environment (or object coercible by as.data.frame to a data frame) containing the variables in the model. If not found in dataXplan, the variables are taken from environment(Xplan), typically the environment from which coxplsDR is called. an optional vector specifying a subset of observations to be used in the fitting process. an optional vector of 'prior weights' to be used in the fitting process. Should be NULL or a numeric vector. If TRUE, the model frame is returned.

## Value

If allres=FALSE :

cox_plsDR

Final Cox-model.

If allres=TRUE :
tt_plsDR

PLSR components.

cox_plsDR

Final Cox-model.

plsDR_mod

The PLSR model.

## Details

If allres=FALSE returns only the final Cox-model. If allres=TRUE returns a list with the PLS components, the final Cox-model and the PLSR model. allres=TRUE is useful for evluating model prediction accuracy on a test sample.

## References

plsRcox, Cox-Models in a high dimensional setting in R, Frederic Bertrand, Philippe Bastien, Nicolas Meyer and Myriam Maumy-Bertrand (2014). Proceedings of User2014!, Los Angeles, page 152.

Deviance residuals-based sparse PLS and sparse kernel PLS regression for censored data, Philippe Bastien, Frederic Bertrand, Nicolas Meyer and Myriam Maumy-Bertrand (2015), Bioinformatics, 31(3):397-404, doi:10.1093/bioinformatics/btu660.

coxph, plsr

## Examples


data(micro.censure)
data(Xmicro.censure_compl_imp)

X_train_micro <- apply((as.matrix(Xmicro.censure_compl_imp)),FUN="as.numeric",MARGIN=2)[1:80,]
X_train_micro_df <- data.frame(X_train_micro)
Y_train_micro <- micro.censure$survyear[1:80] C_train_micro <- micro.censure$DC[1:80]

(cox_plsDR_fit=coxplsDR(X_train_micro,Y_train_micro,C_train_micro,ncomp=6))
#> Call:
#> coxph(formula = YCsurv ~ ., data = tt_plsDR)
#>
#>         coef exp(coef) se(coef)     z        p
#> dim.1 0.7784    2.1781   0.1987 3.917 8.96e-05
#> dim.2 0.9626    2.6186   0.2982 3.228  0.00125
#> dim.3 0.9110    2.4868   0.4075 2.236  0.02536
#> dim.4 0.9022    2.4650   0.4004 2.253  0.02424
#> dim.5 0.1844    1.2026   0.2664 0.692  0.48865
#> dim.6 0.7448    2.1059   0.4228 1.761  0.07819
#>
#> Likelihood ratio test=54.95  on 6 df, p=4.745e-10
#> n= 80, number of events= 17 (cox_plsDR_fit2=coxplsDR(~X_train_micro,Y_train_micro,C_train_micro,ncomp=6))
#> Warning: non-list contrasts argument ignored#> Call:
#> coxph(formula = YCsurv ~ ., data = tt_plsDR)
#>
#>         coef exp(coef) se(coef)     z        p
#> dim.1 0.7784    2.1781   0.1987 3.917 8.96e-05
#> dim.2 0.9626    2.6186   0.2982 3.228  0.00125
#> dim.3 0.9110    2.4868   0.4075 2.236  0.02536
#> dim.4 0.9022    2.4650   0.4004 2.253  0.02424
#> dim.5 0.1844    1.2026   0.2664 0.692  0.48865
#> dim.6 0.7448    2.1059   0.4228 1.761  0.07819
#>
#> Likelihood ratio test=54.95  on 6 df, p=4.745e-10
#> n= 80, number of events= 17 (cox_plsDR_fit3=coxplsDR(~.,Y_train_micro,C_train_micro,ncomp=6,dataXplan=X_train_micro_df))
#> Warning: non-list contrasts argument ignored#> Call:
#> coxph(formula = YCsurv ~ ., data = tt_plsDR)
#>
#>         coef exp(coef) se(coef)     z        p
#> dim.1 0.7784    2.1781   0.1987 3.917 8.96e-05
#> dim.2 0.9626    2.6186   0.2982 3.228  0.00125
#> dim.3 0.9110    2.4868   0.4075 2.236  0.02536
#> dim.4 0.9022    2.4650   0.4004 2.253  0.02424
#> dim.5 0.1844    1.2026   0.2664 0.692  0.48865
#> dim.6 0.7448    2.1059   0.4228 1.761  0.07819
#>
#> Likelihood ratio test=54.95  on 6 df, p=4.745e-10
#> n= 80, number of events= 17
rm(X_train_micro,Y_train_micro,C_train_micro,cox_plsDR_fit,cox_plsDR_fit2,cox_plsDR_fit3)