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#' Print method for sightability estimators
#'
#' Prints fitted sightability model, sampling information, and sightability
#' estimate (with confidence interval)
#'
#'
#' @aliases print.sightest print.sightest_ratio
#' @param x Sightability object, output from call to Sight.Est() or
#' Sight.Est.Ratio() functions.
#' @param ... arguments to be passed to or from other methods
#' @author John Fieberg and Carl James Schwarz
#' @seealso \code{\link{Sight.Est}}, \code{\link{Sight.Est.Ratio}},
#' \code{\link{summary.sightest}}, \code{\link{summary.sightest_ratio}}
#' @keywords print
#' @export
print.sightest <-
function(x,...){
cat("Call:\n")
print(x$call)
cat("\n------------------- SIGHTABILITY MODEL ---------------------\n")
print(x$sight.model)
cat("\n----------------- Population Survey data ----------------\n")
cat("\n Stratum Sampling Information\n")
print(x$samp)
cat("\n Number of animals seen in each stratum\n")
ua <- tapply(x$odat$total,x$odat$stratum, sum)
print(format(ua, big.mark=","), quote = FALSE)
Tot.seen <- sum(ua)
cat("\n-------------- POPULATION ESTIMATE (",100*(1-x$alpha),"% CI) ----------------\n")
z <- qnorm(1-x$alpha/2)
if(x$CI.method == "normal"){
temp <- rep(x$est[1], 3)+c(0, -z, z)*sqrt(x$est[2])
}
else{ #CI under lognormal assumption (see Wong p. 65-67)
#Estimated number of animals that were not seen (assumed to be lognormally distributed)
tau.m.T <- x$est[1]-Tot.seen
cv2 <- x$est[2]/(tau.m.T)^2
cfact <- exp(z*sqrt(log(1+cv2)))
temp <- rep(tau.m.T, 3)*c(1, (1/cfact)*sqrt(1+cv2), cfact*sqrt(1+cv2))+ rep(Tot.seen, 3)
}
names(temp) <- NULL
temp <- format(round(temp, 0), big.mark=",")
cat("\n")
temp2 <- paste("tau.hat = ", temp[1], "; ",100*(1-x$alpha), "% CI = (", temp[2], ", ", temp[3], ")")
print(temp2[1], quote = FALSE)
cat("\n")
cat("\n------------------ SE(tau.hat) --------------------------------\n")
cat("Variance method: "); print(x$var.method)
SE <- sqrt(x$est[2])
names(SE) <- "SE"
print(format(round(SE, 0), big.mark=","), quote = FALSE)
cat("\n-------------- Variance Components -------------------\n")
cat("\n")
print(format(round(x$est[3:5], 0), big.mark=","), quote = FALSE)
}
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