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## for simlicity, this summary function only reports parameters related to W_1 and W_2
#' Print the Summary of the Results for the Maximum Likelihood Parametric Model for
#' Ecological Inference in 2x2 Tables
#'
#' \code{summary} method for class \code{eco}.
#'
#'
#' @aliases print.summary.ecoML
#' @param x An object of class \code{summary.ecoML}.
#' @param digits the number of significant digits to use when printing.
#' @param ... further arguments passed to or from other methods.
#' @return \code{summary.eco} yields an object of class \code{summary.eco}
#' containing the following elements:
#' \item{call}{The call from \code{eco}.}
#' \item{sem}{Whether the SEM algorithm was executed, as specified by the user
#' upon calling \code{ecoML}.}
#' \item{fix.rho}{Whether the correlation parameter was fixed or allowed to vary,
#' as specified by the user upon calling \code{ecoML}.}
#' \item{epsilon}{The convergence threshold specified by the
#' user upon calling \code{ecoML}.}
#' \item{n.obs}{The number of units.}
#' \item{iters.em}{The number iterations the EM algorithm cycled through before
#' convergence or reaching the maximum number of iterations allowed.}
#' \item{iters.sem}{The number iterations the SEM algorithm cycled through
#' before convergence or reaching the maximum number of iterations allowed.}
#' \item{loglik}{The final observed log-likelihood.}
#' \item{rho}{A matrix of \code{iters.em} rows specifying the correlation parameters
#' at each iteration of the EM algorithm. The number of columns depends on how many
#' correlation parameters exist in the model. Column order is the same as the order of the
#' parameters in \code{param.table}.}
#' \item{param.table}{Final estimates of the parameter values for the model.
#' Excludes parameters fixed by the user upon calling \code{ecoML}.
#' See \code{ecoML} documentation for order of parameters.}
#' \item{agg.table}{Aggregate estimates of the marginal means of \eqn{W_1} and \eqn{W_2}}
#' \item{agg.wtable}{Aggregate estimates of the marginal means of \eqn{W_1} and \eqn{W_2}
#' using \eqn{X} and \eqn{N} as weights.} If \code{units = TRUE}, the following elements
#' are also included:
#' \item{W.table}{Unit-level estimates for \eqn{W_1} and \eqn{W_2}.}
#'
#' This object can be printed by \code{print.summary.eco}
#' @seealso \code{ecoML}
#' @keywords methods
#' @export
print.summary.ecoML <- function(x, digits=max(3,
getOption("digits")-3), ...) {
cat("\nCall: ", paste(deparse(x$call), sep="\n", collapse="\n"))
cat("\n")
if (!is.null(x$param.table)) {
cat("\n*** Parameter Estimates ***\n")
if (x$fix.rho)
cat("\nOriginal Model Parameters (rho is fixed at ", x$rho, "):\n", sep="")
else
cat("\nOriginal Model Parameters:\n")
print(x$param.table, digits=digits, na.print="NA",...)
}
cat("\n*** Insample Predictions ***\n")
cat("\nUnweighted:\n")
print(x$agg.table, digits=digits, na.print="NA",...)
if (!is.null(x$agg.wtable)) {
cat("\nWeighted:\n")
print(x$agg.wtable, digits=digits, na.print="NA",...)
}
if (!is.null(x$W.table)) {
cat("\n\nUnit-level Estimates of W:\n")
print(x$W.table, digits=digits, na.print="NA",...)
}
cat("\n\nLog-likelihood:", x$loglik)
cat("\nNumber of Observations:", x$n.obs)
cat("\nNumber of EM iterations:", x$iters.em)
if (x$sem)
cat("\nNumber of SEM iterations:", x$iters.sem)
cat("\nConvergence threshold for EM:", x$epsilon)
cat("\n\n")
invisible(x)
}
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