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#' summary_lm
#'
#' summary method for class ".lm.fit".. It's 200 times faster than traditional \code{lm}.
#'
#' @param obj Object returned by \code{\link{.lm.fit}}.
#' @param ... ignored
#'
#' @return a p x 4 matrix with columns for the estimated coefficient, its standard error,
#' t-statistic and corresponding (two-sided) p-value. Aliased coefficients are omitted.
#'
#' @example R/examples/ex-summary_lm.R
#' @export
summary_lm <- function(obj, ...){
z <- obj
p <- z$rank
Qr <- z$qr
n <- nrow(Qr)
rdf <- n - p#df.residual
r <- z$residuals
# f <- z$fitted.values
# mss <- sum((f - mean(f))^2)
rss <- sum(r^2)
resvar <- rss/rdf
p1 <- 1L:p
R <- chol2inv(Qr[p1, p1, drop = FALSE])
se <- sqrt(diag(R) * resvar)
est <- z$coefficients[z$pivot[p1]]
tval <- est/se
# ans <- z[c("call", "terms", if (!is.null(z$weights)) "weights")]
# ans$residuals <- r
coefficients <- cbind(est, se, tval, 2 * pt(abs(tval),
rdf, lower.tail = FALSE))
dimnames(coefficients) <- list(names(z$coefficients)[z$pivot[p1]],
c("Estimate", "Std. Error", "t value", "Pr(>|t|)"))
return(coefficients)
# df.int <- ifelse(attr(z$terms, "intercept"), 1L, 0L)
# ans$r.squared <- mss/(mss + rss)
# ans$adj.r.squared <- 1 - (1 - ans$r.squared) * ((n - df.int)/rdf)
# ans$fstatistic <- c(value = (mss/(p - df.int))/resvar, numdf = p - df.int, dendf = rdf)
# ans
}
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