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#' example data with 2000 observations of 2 continuous variables
#'
#' A simulated data set containing 2 continuous variables.
#' @name ExampleData
#' @docType data
#' @usage data(ExampleData)
#'
#' @format A list containing the following elements:
#' \describe{
#' \item{z}{simulated continuous covariates V1 and V2, with a time-independent coefficient \eqn{\beta_1(t)=1}
#'and a time-varying coefficient \eqn{\beta_2(t)=sin(3\pi t/4).}}
#' \item{event}{simulated failure event response; binary variable with 0 or 1.}
#' \item{time}{simulated observed event times; continuous variable with non-negative values.}
#' }
"ExampleData"
#' example data with 2000 observations of 2 binary variables
#'
#' A simulated data set containing 2 binary variables.
#' @name ExampleDataBinary
#' @docType data
#' @usage data(ExampleDataBinary)
#'
#' @format A list containing the following elements:
#' \describe{
#' \item{z}{simulated binary covariates V1 and V2, with a time-independent coefficient \eqn{\beta_1(t)=1}
#'and a time-varying coefficient \eqn{\beta_2(t)=exp(-1.5t).}}
#' \item{event}{simulated failure event response; binary variable with 0 or 1.}
#' \item{time}{simulated observed event times; continuous variable with non-negative values. }
#' }
"ExampleDataBinary"
#' example data for stratified model illustration
#'
#' A simulated data set containing 2 binary variables from 10 distinct stratums.
#' @name StrataExample
#' @docType data
#' @usage data(StrataExample)
#'
#' @format A list containing the following elements:
#' \describe{
#' \item{z}{simulated binary covariates V1 and V2, with a time-independent coefficient \eqn{\beta_1(t)=1}
#'and a time-varying coefficient \eqn{\beta_2(t)=sin(3\pi t/4).}}
#' \item{event}{simulated failure event response; binary variable with 0 or 1.}
#' \item{time}{simulated observed event times; continuous variable with non-negative values. }
#' \item{strata}{simulated strata variable; patients in different stratums have different baseline hazards.}
#' }
"StrataExample"
#' Study to Understand Prognoses Preferences Outcomes and Risks of Treatment
#' @name support
#' @docType data
#' @usage data(support)
#'
#' @description The SUPPORT dataset tracks five response variables: hospital
#' death, severe functional disability, hospital costs, and time until death
#' and death itself. The patients are followed for up to 5.56 years. See Bhatnagar et al. (2020) for details.
#'
#' @details Some of the original data was missing. Before imputation, there were
#' a total of 9,104 individuals and 47 variables. Following Bhatnagar et al. (2020), a few variables
#' were removed. Three response variables were removed:
#' hospital charges, patient ratio of costs to charges and patient
#' micro-costs. Hospital death was also removed as it was directly informative
#' of the event of interest, namely death. Additionally, functional disability and
#' income were removed as they are ordinal covariates. Finally, 8
#' covariates were removed related to the results of previous findings: SUPPORT
#' day 3 physiology score (\code{sps}), APACHE III day 3 physiology score
#' (\code{aps}), SUPPORT model 2-month survival estimate, SUPPORT model
#' 6-month survival estimate, Physician's 2-month survival estimate for pt.,
#' Physician's 6-month survival estimate for pt., Patient had Do Not
#' Resuscitate (DNR) order, and Day of DNR order (<0 if before study). Of
#' these, \code{sps} and \code{aps} were added on after imputation, as they
#' were missing only 1 observation. First the imputation is done manually using the normal
#' values for physiological measures recommended by Knaus et al. (1995). Next,
#' a single dataset was imputed using \pkg{mice} with default settings. After
#' imputation, the covariate for surrogate activities of daily
#' living was not imputed. This is due to collinearity between the other two
#' covariates for activities of daily living. Therefore, surrogate activities
#' of daily living were removed. See details in the R package (casebase) by Bhatnagar et al. (2020).
#'
#' @format A data frame with 9,104 observations and 34 variables after imputation
#' and the removal of response variables like hospital charges, patient ratio
#' of costs to charges and micro-costs following Bhatnagar et al. (2020).
#' Ordinal variables, namely functional disability and income, were also removed.
#' Finally, Surrogate activities of daily living were removed due to sparsity.
#' There were 6 other model scores in the data-set and they were removed; only aps and sps were kept.
#' \describe{
#' \item{age}{ stores a double representing age. }
#' \item{death}{
#' death at any time up to NDI (National Death Index) date: 12/31/1994. }
#' \item{sex}{ 0=female, 1=male. }
#' \item{slos}{ days from study entry to discharge. }
#' \item{d.time}{ days of
#' follow-up. }
#' \item{dzgroup}{ each level of dzgroup: ARF/MOSF w/Sepsis,
#' COPD, CHF, Cirrhosis, Coma, Colon Cancer, Lung Cancer, MOSF with
#' malignancy. }
#' \item{dzclass}{ ARF/MOSF, COPD/CHF/Cirrhosis, Coma and cancer disease classes. }
#' \item{num.co}{ the number of comorbidities. }
#' \item{edu}{ years of education of patients. }
#' \item{scoma}{ the SUPPORT coma score based on Glasgow D3. }
#' \item{avtisst}{ average TISS, days 3-25. }
#' \item{race}{ indicates race: White, Black, Asian, Hispanic or other. }
#' \item{hday}{ day in Hospital at Study Admit.}
#' \item{diabetes}{diabetes (Com27-28, Dx 73).}
#' \item{dementia}{dementia (Comorbidity 6).}
#' \item{ca}{cancer state. }
#' \item{meanbp}{ mean arterial blood pressure day 3. }
#' \item{wblc}{ white blood cell count on day 3. }
#' \item{hrt}{ heart rate day 3. }
#' \item{resp}{ respiration rate day 3. }
#' \item{temp}{ temperature, in Celsius, on day 3. }
#' \item{pafi}{ PaO2/(0.01*FiO2) day 3. }
#' \item{alb}{serum albumin day 3. }
#' \item{bili}{ bilirubin day 3. }
#' \item{crea}{ serum creatinine day 3. }
#' \item{sod}{ serum sodium day 3. }
#' \item{ph}{ serum pH (in arteries) day 3. }
#' \item{glucose}{ serum glucose day 3. }
#' \item{bun}{ bun day 3. }
#' \item{urine}{ urine output day 3. }
#' \item{adlp}{ adl patient day 3. }
#' \item{adlsc}{ imputed adl calibrated to surrogate, if a surrogate was used for a follow up.}
#' \item{sps}{SUPPORT physiology score.}
#' \item{aps}{apache III physiology score.} }
#'
#' @source Available at the following website:
#' \url{https://biostat.app.vumc.org/wiki/Main/SupportDesc}.
#'
#' @references
#'
#' Bhatnagar, S., Turgeon, M., Islam, J., Hanley, J. A., and Saarela, O. (2020) casebase: Fitting Flexible Smooth-in-Time
#' Hazards and Risk Functions via Logistic and Multinomial Regression.
#' \emph{R package version 0.9.0},
#' <https://CRAN.R-project.org/package=casebase>.
#'
#' Knaus, W. A., Harrell, F. E., Lynn, J., Goldman, L., Phillips, R. S., Connors, A. F., et al. (1995)
#' The SUPPORT prognostic model: Objective estimates of survival for seriously ill hospitalized adults.
#' \emph{Annals of Internal Medicine}, \strong{122(3)}: 191-203.
#' \cr
#'
#'
#' @examples
#' data(support)
#' support <- support[support$ca %in% c("metastatic"),]
#' time <- support$d.time
#' death <- support$death
#' diabetes <- model.matrix(~factor(support$diabetes))[,-1]
#' #sex: female as the reference group
#' sex <- model.matrix(~support$sex)[,-1]
#' #age: continuous variable
#' age <-support$age
#' age[support$age<=50] <- "<50"
#' age[support$age>50 & support$age<=60] <- "50-59"
#' age[support$age>60 & support$age<70] <- "60-69"
#' age[support$age>=70] <- "70+"
#' age <- factor(age, levels = c("60-69", "<50", "50-59", "70+"))
#' z_age <- model.matrix(~age)[,-1]
#' z <- data.frame(z_age, sex, diabetes)
#' colnames(z) <- c("age_50", "age_50_59", "age_70", "diabetes", "male")
#' data <- data.frame(time, death, z)
#' fit.coxtv <- coxtv(event = death, z = z, time = time)
"support"
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