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#' @name HealthInsurance
#' @docType data
#'
#' @title Choice of Health Insurance Product
#'
#' @description A company recently introduced a new health insurance provider for
#' its employees. At the beginning of the year the employees had to choose one of
#' three (or four) different health plan products from this provider to best suit
#' their needs.
#'
#' This dataset was modified from its original source (McNulty, 2022) for the
#' present purposes by adding a fourth choice, sampled randomly from the original three.
#'
#' @usage data("HealthInsurance", package = "nestedLogit")
#'
#' @format A data frame with 1448 rows and 7 columns.
#' \describe{
#' \item{product}{Choice among three products, a factor with levels \code{"A"}, \code{"B"},
#' and \code{"C"}.}
#' \item{product4}{Choice among four products, a factor with levels \code{"A"}, \code{"B"},
#' \code{"C"}, and \code{"D"}.}
#' \item{age}{The age of the individual, in years.}
#' \item{household}{The number of people living with the individual in the
#' same household.}
#' \item{position_level}{Position level in the company at the time the choice was made,
#' where 1 is is the lowest level and 5 is the highest, a numeric vector.}
#' \item{gender}{The gender of the individual, a factor with levels \code{"Female"}
#' and \code{"Male"}.}
#' \item{absent}{The number of days the individual was absent from work in the year
#' prior to the choice,}
#' }
#'
#' @source Originally taken from McNulty, K. (2022).
#' \emph{Handbook of Regression Modeling in People Analytics},
#' \url{https://peopleanalytics-regression-book.org/data/health_insurance.csv}.
#'
#' @seealso \code{\link{nestedLogit}}.
#'
#' @examples
#' lbinary <- logits(AB_CD = dichotomy(c("A", "B"), c("C", "D")),
#' A_B = dichotomy("A", "B"),
#' C_D = dichotomy("C", "D"))
#' as.matrix(lbinary)
#' health.nested <- nestedLogit(product4 ~ age + gender * household + position_level,
#' dichotomies = lbinary, data = HealthInsurance)
#' car::Anova(health.nested)
#' coef(health.nested)
"HealthInsurance"
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