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#' obs1: simulated observed data
#'
#' @format a dataframe with 3000 rows and 8 variables
#' \describe{
#' \item{ID}{individual id number}
#' \item{Y}{true response, factor variable}
#' \item{X}{true error-prone covariate, factor variable}
#' \item{treatment}{error-free covariate}
#' \item{visit}{serial number of each visit}
#' \item{S}{observed response, same as Y when in the validation set(delta=1)}
#' \item{W}{observed error-prone covariate, same as X when in the validation
#' set (delta=1)}
#' \item{delta}{indicator variable, 1 if in the validation set, 0 if not.}
#' }
"obs1"
#' heart: preprocessed Framingham Heart Study Teaching data
#'
#' @format a dataframe with 1830 rows and 42 variables, a total of 915 participants.
#' \describe{
#' \item{RANDID}{individual id number}
#' \item{HBP}{a factor variable derived from SYSBP. HBP=0 indicates SBP below
#' 140 mmHg, HBP=1 indicates SBP between 140 mmHg and 159 mmHg, and HBP=2
#' indicates SBP larger than 160 mmHg}
#' \item{chol}{a factor variable derived from TOTCHOL.
#' 0=normal (less than 200 mg/dL),
#' 1=borderline high (200-239mg/dL),
#' 2=hypercholesterolemia (greater than 240 mg/dL)}
#' \item{exam3}{a factor variable. 1 if the observation belongs to exam 3, 0 otherwise.}
#'
#' For all other variables, please refer to https://biolincc.nhlbi.nih.gov/media/teachingstudies/FHS_Teaching_Longitudinal_Data_Documentation.pdf?link_time=2021-03-17_16:09:25.977880,
#' The full teaching data set can be requested from https://biolincc.nhlbi.nih.gov/teaching/
#' }
#' @details{
#' The authors thank Boston University and the National Heart, Lung, and Blood Institute (NHLBI) for providing the data set from the Framingham Heart
#' Study (No. N01-HC-25195) in the illustration. The Framingham Heart Study is conducted and supported by the NHLBI in collaboration with
#' Boston University. This package was not prepared in collaboration with investigators of the Framingham Heart Study and
#' does not necessarily reflect the opinions or views of the Framingham Heart Study, Boston University, or NHLBI. }
#'
#' @references{
#' Z. Chen, G. Y. YI, and C. WU. (2011) Marginal methods for correlated binary data with misclassified responses. \emph{Biometrika} 98(3):647-662, 2011
#'
#' Z. Chen, G. Y. Yi, and C. Wu. (2014) Marginal analysis of longitudinal ordinal data with misclassification inboth response and covariates. \emph{Biometrical Journal}, 56(1):69-85, Oct. 2014
#'
#' Carroll, R.J., Ruppert, D., Stefanski, L.A. and Crainiceanu, C. (2006) Measurement error in nonlinear models: A modern perspective., Second Edition. London: Chapman and Hall.
#' }
#' @examples{
#' data(heart)
#' #descriptive plots:
#' if(0){
#' library(mgee2)
#' library(ggplot2)
#' # covariates
#' heart$chol = as.factor(heart$chol)
#' heart$CURSMOKE = as.factor(heart$CURSMOKE)
#' heart$exam3 = as.factor(heart$exam3)
#' levels(heart$exam3) = c("exam2","exam3")
#' ggplot(heart, aes(x=AGE, y=SYSBP)) +
#' geom_line(aes(group=RANDID), alpha=0.5) +
#' geom_smooth(se=FALSE, size=2) +
#' ylab("SBP")+
#' facet_grid(chol~CURSMOKE, labeller = label_both)
#' # trend
#' ggplot(heart, aes(x=AGE, y=SYSBP,
#' colour = chol,linetype = CURSMOKE)) +
#' geom_smooth(method="lm", se=FALSE) +
#' ylab("SBP")+facet_wrap(~exam3)+
#' scale_color_brewer(palette = "Dark2")
#' }
#' #Example 1:
#' heart$chol = as.factor(heart$chol)
#' heart$exam3 = as.factor(heart$exam3)
#' ## set misclassification parameters to be known.
#' varphiMat <- gamMat <- log( cbind(0.04/0.95, 0.01/0.95,
#' 0.95/0.03, 0.02/0.03,
#' 0.04/0.01, 0.95/0.01) )
#' mgee2k.fit = mgee2k(formula = HBP~chol+AGE+CURSMOKE+exam3, id = "RANDID",
#' data = heart,
#' corstr = "exchangeable", misvariable = "chol",
#' gamMat = gamMat,
#' varphiMat = varphiMat)
#' summary(mgee2k.fit)
#'
#' #Example 2:
#' naigee.fit = ordGEE2(formula = HBP~chol+AGE+CURSMOKE+exam3, id = "RANDID",
#' data = heart, corstr = "exchangeable")
#' summary(naigee.fit)
#' }
"heart"
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