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#' @title Summary a nls tac fit.
#' @description Gives the fitted coefficients and the convergence information of the fit.
#'
#' @param object An object of class \code{"nlstac"} obtained by the \code{fit_tac} function.
#' @param ... Ignored, for compatibility issues.
#'
#'
#' @return Returns, via the \code{print.nlstac} function the following items:
#' - Formula: The formula fitted to the data
#' - Parameters: The value of the estimated parameters (Estimated) together
#' with their standard errors (Std. Error), and their statistical
#' significance (t value, Pr(>|t|), signif. stars)
#' - SSR and df.
#' - Convergence information: N. of iterations and the tolerance achieved.
#'
#' @method summary nlstac
#' @importFrom stats coef pt
#' @export
#'
summary.nlstac <- function(object, ...){
if(!is.nlstac(object)){
stop("Input should be of class nlstac!")
}
r <- as.vector(object$resid[,1])
w <- object$weights
n <- if (!is.null(w)){
sum(w > 0)
}else {
length(r)
}
param <- coef(object)
pnames <- names(coef(object))
p <- length(param)
rdf <- n - p
resvar <- if (rdf <= 0){
NaN
} else{
object$SSR/rdf
}
if(!is.null(object$Rmat)){
XtXinv <- chol2inv(object$Rmat)
dimnames(XtXinv) <- list(pnames, pnames)
se <- sqrt(diag(XtXinv) * resvar)
tval <- param/se
prob <- 2 * pt(abs(tval), rdf, lower.tail = FALSE)
} else{
XtXinv <- NULL
se <- rep(NA, length(pnames))
tval <- rep(NA, length(pnames))
prob <- rep(NA, length(pnames))
}
param <- cbind(param, se, tval, prob)
dimnames(param) <- list(pnames, c("Estimate", "Std. Error",
"t value", "Pr(>|t|)"))
ans <- list(formula = object$formula, residuals = r, sigma = sqrt(resvar),
df = c(p, rdf), cov.unscaled = XtXinv,
convInfo = object$convInfo,
coefficients = param, parameters = param)
return(structure(ans, class = "summary.nlstac"))
}
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