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#' Parameters for the HCHS dietary recall data example
#'
#' A list of five variables containing the food items and parameter estimates obtained from
#' MCMC chains. The real multivariate binary dataset is not included for privacy.
#' The variables are as follows:
#'
#' \itemize{
#' \item item_membership_list. A list of G = 7 elements, where the g-th element contains the
#' indices of items belonging to major food group g.
#' \item item_name_list. A list of G = 7 elements, where the g-th element contains the item
#' labels of items in major food group g, and the name of the g-th element is the major food
#' group label.
#' \item tree_phylo. The maximum a posterior tree estimate with K = 6 leaves obtained from the
#' real HCHS data. Class "phylo".
#' \item class_probability. A K-vector with entries between 0 and 1. The posterior mean estimate
#' for class probabilities obtained from the real HCHS data.
#' \item Sigma_by_group. A G-vector greater than 0. The posterior mean estimate for group-specific
#' diffusion variances obtained from the real HCHS data.
#' }
#'
#' @docType data
#' @keywords datasets
#' @name parameter_diet
#' @usage data(parameter_diet)
#' @references \url{https://arxiv.org/abs/2306.04700}
"parameter_diet"
#' Result of fitting DDT-LCM to a semi-synthetic data example
#'
#' This is a "ddtlcm" object obtained from running `ddtlcm_fit` to a semi-synthetic dataset with
#' 1000 posterior samples (for the sake of time). See \code{\link{ddtlcm_fit}} for description of
#' the object.
#'
#' @docType data
#' @keywords datasets
#' @name result_diet_1000iters
#' @usage data(result_diet_1000iters)
#' @format A list with 8 elements
"result_diet_1000iters"
#' Synthetic data example
#'
#' This list contains one synthetic data with K = 3 latent classes.
#' The elements are as follows:
#'
#' \itemize{
#' \item tree_phylo. A "phylo" tree with K = 3 leaves.
#' \item class_probability. A K-vector with entries between 0 and 1.
#' \item item_membership_list. A list of G = 7 elements, where the g-th element contains the
#' indices of items belonging to major food group g.
#' \item item_name_list. A list of G = 7 elements, where the g-th element contains the item
#' labels of items in major food group g, and the name of the g-th element is the major food
#' group label.
#' \item Sigma_by_group. A G-vector greater than 0. The group-specific diffusion variances.
#' \item response_matrix. A binary matrix with N = 100 rows and J = 80 columns. Each row contains
#' a multivariate binary response vector of a synthetic individual.
#' \item response_prob. A K by J probability matrix. The k-th row contains the item response
#' probabilities of class k.
#' \item tree_with_parameter. A `phylobase::phylo4d` object. Basically the tree_phylo embedded
#' with additional logit(response_prob) at the leaf nodes.
#' }
#'
#' @docType data
#' @keywords datasets
#' @name data_synthetic
#' @usage data(data_synthetic)
#' @format A list with 8 elements
"data_synthetic"
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