# R/dat_serial_parallel_latent.R In manymome: Mediation, Moderation and Moderated-Mediation After Model Fitting

#' @title Sample Dataset: A
#' Latent Mediation Model With Three
#' Mediators
#'
#' @description Generated from a 3-mediator
#' mediation model among eight latent
#' factors, fx1, fx2, fm11, fm12,
#' fy1, and fy2, each
#' has three indicators.
#'
#' @details
#'
#' The model:
#'
#' 
#' fx1 =~ x1 + x2 + x3
#' fx2 =~ x4 + x5 + x6
#' fm11 =~ m11a + m11b + m11c
#' fm12 =~ m12a + m12b + m12c
#' fm2  =~ m2a + m2b + m2c
#' fy1 =~ y1 + y2 + y3
#' fy2 =~ y3 + y4 + y5
#' fm11 ~ a1 * fx1
#' fm12 ~ b11 * fm11 + a2m * fx2
#' fm2 ~ a2 * fx2
#' fy1 ~ b12 * fm12 + b11y1 * fm11 + cp1 * fx1
#' fy2 ~ b2 * fm2 + cp2 * fx2
#' a1b11b12 := a1 * b11 * b12
#' a1b11y1 := a1 * b11y1
#' a2b2 := a2 * b2
#' a2mb12 := a2m * b12
#' 
#'
#' @format A data frame with 500 rows
#' and 21 variables:
#' \describe{
#'   \item{x1}{Indicator of fx1. Numeric.}
#'   \item{x2}{Indicator of fx1. Numeric.}
#'   \item{x3}{Indicator of fx1. Numeric.}
#'   \item{x4}{Indicator of fx2. Numeric.}
#'   \item{x5}{Indicator of fx2. Numeric.}
#'   \item{x6}{Indicator of fx2. Numeric.}
#'   \item{m11a}{Indicator of fm11. Numeric.}
#'   \item{m11b}{Indicator of fm11. Numeric.}
#'   \item{m11c}{Indicator of fm11. Numeric.}
#'   \item{m12a}{Indicator of fm12. Numeric.}
#'   \item{m12b}{Indicator of fm12. Numeric.}
#'   \item{m12c}{Indicator of fm12. Numeric.}
#'   \item{m2a}{Indicator of fm2. Numeric.}
#'   \item{m2b}{Indicator of fm2. Numeric.}
#'   \item{m2c}{Indicator of fm2. Numeric.}
#'   \item{y1}{Indicator of fy1. Numeric.}
#'   \item{y2}{Indicator of fy1. Numeric.}
#'   \item{y3}{Indicator of fy1. Numeric.}
#'   \item{y4}{Indicator of fy2. Numeric.}
#'   \item{y5}{Indicator of fy2. Numeric.}
#'   \item{y6}{Indicator of fy2. Numeric.}
#' }
#'
"data_serial_parallel_latent"

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