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#' General Frailty models: shared, joint and nested frailty models with
#' prediction; Evaluation of Failure-Time Surrogate Endpoints
#'
#' Frailtypack fits several classes of frailty models using a penalized
#' likelihood estimation on the hazard function but also a parametric
#' estimation. 1) A shared frailty model and Cox proportional hazard model.
#' Clustered and recurrent survival times can be studied. 2) Additive frailty
#' models for proportional hazard models with two correlated random effects
#' (intercept random effect with random slope). 3) Nested frailty models for
#' hierarchically clustered data (with 2 levels of clustering) by including two
#' iid gamma random effects. 4) Joint frailty models in the context of joint
#' modelling for recurrent events with terminal event for clustered data or
#' not. A joint frailty model for two semi-competing risks for clustered data
#' is also proposed. 5) Joint General frailty models in the context of a joint
#' modelling for recurrent events with terminal event data with two independent
#' frailty terms. 6) Joint Nested frailty models in the context of joint
#' modelling for recurrent events with terminal event, for hierarchically
#' clustered data (with two levels of clustering) by including two iid gamma
#' random effects. 7) Multivariate joint frailty models for two types of
#' recurrent events and a terminal event. 8) Joint models for longitudinal
#' data and a terminal event. 9) Trivariate joint models for longitudinal
#' data, recurrent events and a terminal event. Prediction values are
#' available. Left truncated (not for the joint models), right-censored data,
#' interval-censored data (only for Cox proportional hazard and shared frailty
#' model) and strata are allowed. In each model, the random effects have the
#' gamma or normal distribution. Now, you can also consider time-varying effect
#' covariates in Cox, shared and joint frailty models. The package includes
#' concordance measures for Cox proportional hazards models and for shared
#' frailty models. 10) Joint frailty models for the validation of surrogate
#' endpoints in multiple randomized clinical trials with failure-time endpoints.
#' This model includes a shared individual-level random effect, a shared trial
#' random-effct associated with the hazard risks and a correlated random
#' effects-by-trial interaction.
#'
#' \tabular{ll}{ Package: \tab frailtypack\cr Type: \tab Package\cr Version:
#' \tab 3.0.3.3 \cr Date: \tab 2019-08-31\cr License: \tab GPL (>= 2.0)\cr
#' LazyLoad: \tab no\cr }
#'
#' @name frailtypack-package
#' @aliases frailtypack-package frailtypack
#' @docType package
#' @author Virginie Rondeau, Juan R. Gonzalez, Yassin Mazroui, Audrey Mauguen,
#' Amadou Diakite, Alexandre Laurent, Myriam Lopez, Agnieszka Krol and
#' Casimir L. Sofeu
#' @references V. Rondeau, Y. Mazroui and J. R. Gonzalez (2012). Frailtypack:
#' An R package for the analysis of correlated survival data with frailty
#' models using penalized likelihood estimation or parametric estimation.
#' \emph{Journal of Statistical Software} \bold{47}, 1-28.
#'
#' Y. Mazroui, S. Mathoulin-Pelissier,P. Soubeyranb and Virginie Rondeau (2012)
#' General joint frailty model for recurrent event data with a dependent
#' terminalevent: Application to follicular lymphoma data. \emph{Statistics in
#' Medecine}, \bold{31}, 11-12, 1162-1176.
#'
#' V. Rondeau and J. R. Gonzalez (2005). Frailtypack: A computer program for
#' the analysis of correlated failure time data using penalized likelihood
#' estimation. \emph{Computer Methods and Programs in Biomedicine} \bold{80},
#' 2, 154-164.
#'
#' V. Rondeau, S. Michiels, B. Liquet, and J. P. Pignon (2008). Investigating
#' trial and treatment heterogeneity in an individual patient data
#' meta-analysis of survival data by mean of the maximum penalized likelihood
#' approach. \emph{Statistics in Medecine}, \bold{27}, 1894-1910.
#'
#' V. Rondeau, S. Mathoulin-Pellissier, H. Jacqmin-Gadda, V. Brouste, P.
#' Soubeyran (2007). Joint frailty models for recurring events and death using
#' maximum penalized likelihood estimation:application on cancer events.
#' \emph{Biostatistics}, \bold{8}, 4, 708-721.
#'
#' V. Rondeau, D. Commenges, and P. Joly (2003). Maximum penalized likelihood
#' estimation in a gamma-frailty model. \emph{Lifetime Data Analysis} \bold{9},
#' 139-153.
#'
#' D. Marquardt (1963). An algorithm for least-squares estimation of nonlinear
#' parameters. \emph{SIAM Journal of Applied Mathematics}, 431-441.
#'
#' V. Rondeau, L. Filleul, P. Joly (2006). Nested frailty models using maximum
#' penalized likelihood estimation. \emph{Statistics in Medecine}, \bold{25},
#' 4036-4052.
#' @useDynLib "frailtypack", .registration = TRUE, .fixes = "C_"
##' @import survival boot MASS survC1 nlme doBy
## @import shiny shinyjs shinyBS shinydashboard rhandsontable shinythemes jsonlite
##' @importFrom graphics abline legend lines matlines matplot par plot
##' @importFrom stats .getXlevels aggregate as.formula complete.cases
##' contrasts get_all_vars is.empty.model model.extract model.matrix
##' pchisq pnorm qnorm quantile rgamma terms update var model.frame na.pass
##' @importFrom utils flush.console
##' @importFrom statmod gauss.quad
##' @importFrom nlme lme
#' @keywords package
#' @examples
#'
#'
#' \donttest{
#'
#' ###--- Additive model with 1 covariate ---###
#'
#' data(dataAdditive)
#' modAdd <- additivePenal(Surv(t1,t2,event)~
#' cluster(group)+var1+slope(var1),
#' correlation=TRUE,data=dataAdditive,
#' n.knots=8,kappa=10000,hazard="Splines")
#'
#' ###--- Joint model (recurrent and terminal events) with 2 covariates ---###
#'
#' data(readmission)
#' modJoint.gap <- frailtyPenal(Surv(time,event)~
#' cluster(id)+sex+dukes+charlson+terminal(death),
#' formula.terminalEvent=~sex+dukes+charlson,
#' data=readmission,n.knots=10,kappa=c(100,100),
#' recurrentAG=FALSE,hazard="Splines")
#'
#' ###--- General Joint model (recurrent and terminal events) with 2 covariates ---###
#' data(readmission)
#' modJoint.general <- frailtyPenal(Surv(time,event) ~ cluster(id) + dukes +
#' charlson + sex + chemo + terminal(death),
#' formula.terminalEvent = ~ dukes + charlson + sex + chemo,
#' data = readmission, jointGeneral = TRUE, n.knots = 8,
#' kappa = c(2.11e+08, 9.53e+11))
#'
#' ###--- Nested model (or hierarchical model) with 2 covariates ---###
#'
#' data(dataNested)
#' modClu <- frailtyPenal(Surv(t1,t2,event)~
#' cluster(group)+subcluster(subgroup)+cov1+cov2,
#' data=dataNested,n.knots=8,kappa=50000,hazard="Splines")
#'
#' ###--- Joint Nested Frailty model ---###
#'
#' #-- here is generated cluster (30 clusters)
#' readmissionNested <- transform(readmission,group=id%%30+1)
#'
#' modJointNested_Splines <- frailtyPenal(formula = Surv(t.start, t.stop, event)
#' ~ subcluster(id) + cluster(group) + dukes + terminal(death),
#' formula.terminalEvent = ~dukes, data = readmissionNested, recurrentAG = TRUE,
#' n.knots = 8, kappa = c(9.55e+9, 1.41e+12), initialize = TRUE)
#'
#' modJointNested_Weib <- frailtyPenal(Surv(t.start,t.stop,event)~subcluster(id)
#' +cluster(group)+dukes+ terminal(death),formula.terminalEvent=~dukes,
#' hazard = ('Weibull'), data=readmissionNested,recurrentAG=TRUE, initialize = FALSE)
#'
#' JoiNes-GapSpline <- frailtyPenal(formula = Surv(time, event)
#' ~ subcluster(id) + cluster(group) + dukes + terminal(death),
#' formula.terminalEvent = ~dukes, data = readmissionNested, recurrentAG = FALSE,
#' n.knots = 8, kappa = c(9.55e+9, 1.41e+12), initialize = TRUE,
#' init.Alpha = 1.091, Ksi = "None")
#'
#' ###--- Semiparametric Shared model ---###
#'
#' data(readmission)
#' sha.sp <- frailtyPenal(Surv(t.start,t.stop,event)~
#' sex+dukes+charlson+cluster(id),data=readmission,
#' n.knots=6,kappa=5000,recurrentAG=TRUE,
#' cross.validation=TRUE,hazard="Splines")
#'
#' ###--- Parametric Shared model ---###
#'
#' data(readmission)
#' sha.p <- frailtyPenal(Surv(t.start,t.stop,event)~
#' cluster(id)+sex+dukes+charlson,
#' data=readmission,recurrentAG=TRUE,
#' hazard="Piecewise-per",nb.int=6)
#'
#' ###--- Joint model for longitudinal ---###
#' ###--- data and a terminal event ---###
#'
#' data(colorectal)
#' data(colorectalLongi)
#'
#' # Survival data preparation - only terminal events
#' colorectalSurv <- subset(colorectal, new.lesions == 0)
#'
#' model.weib.RE <- longiPenal(Surv(time1, state) ~ age + treatment + who.PS
#' + prev.resection, tumor.size ~ year * treatment + age + who.PS ,
#' colorectalSurv, data.Longi = colorectalLongi,
#' random = c("1", "year"), id = "id", link = "Random-effects",
#' left.censoring = -3.33, hazard = "Weibull")
#'
#' ###--- Trivariate joint model for longitudinal ---###
#' ###--- data, recurrent and terminal events ---###
#'
#' data(colorectal)
#' data(colorectalLongi)
#'
#' # (computation takes around 40 minutes)
#'
#' model.spli.RE.cal <-trivPenal(Surv(time0, time1, new.lesions) ~ cluster(id)
#' + age + treatment + who.PS + terminal(state),
#' formula.terminalEvent =~ age + treatment + who.PS + prev.resection,
#' tumor.size ~ year * treatment + age + who.PS, data = colorectal,
#' data.Longi = colorectalLongi, random = c("1", "year"), id = "id",
#' link = "Random-effects", left.censoring = -3.33, recurrentAG = TRUE,
#' n.knots = 6, kappa=c(0.01, 2), method.GH="Pseudo-adaptive",
#' n.nodes=7, init.B = c(-0.07, -0.13, -0.16, -0.17, 0.42, #recurrent events covariates
#' -0.23, -0.1, -0.09, -0.12, 0.8, -0.23, #terminal event covariates
#' 3.02, -0.30, 0.05, -0.63, -0.02, -0.29, 0.11, 0.74)) #biomarker covariates
#'
#'
#' ##---Surrogacy evaluation based on ganerated data with a combination
#' ##of Monte Carlo and classical Gaussian Hermite integration.
#' ## (Computation takes around 5 minutes)
#'
#' # Generation of data to use
#' data.sim <- jointSurrSimul(n.obs=600, n.trial = 30,cens.adm=549.24,
#' alpha = 1.5, theta = 3.5, gamma = 2.5, zeta = 1, sigma.s = 0.7,
#' sigma.t = 0.7, rsqrt = 0.8, betas = -1.25, betat = -1.25,
#' full.data = 0, random.generator = 1, seed = 0, nb.reject.data = 0)
#'
#' # Joint surrogate model estimation
#' joint.surro.sim.MCGH <- jointSurroPenal(data = data.sim, int.method = 2,
#' nb.mc = 300, nb.gh = 20)
#'
#' }
NULL
#' Print a short summary of results of prediction function.
#'
#' Print a short summary of results of prediction function.
#'
#' @name print.prediction
#' @aliases print.predFrailty print.predJoint print.predLongi
#' @usage
#' \method{print}{predFrailty}(x, digits = 3, ...)
#' \method{print}{predJoint}(x, digits = 3, ...)
#' \method{print}{predLongi}(x, digits = 3, ...)
#'
#' @param x An object from the 'prediction' function, objects inheriting from
#' \code{predFrailty}, \code{predJoint} and \code{predLongi} classes.
#' @param digits Number of digits to print
#' @param \dots Other unused arguments
#' @return
#'
#' Print the probabilities estimated.
#' @seealso \code{\link{prediction}}
#' @keywords methods
NULL
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