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#' Likehood-Based Statistics for Other Links for orm Fits
#'
#' @param object an object created by `orm` with `x=TRUE, y=TRUE`
#' @param links a vector of links to consider other than the one used to get `object`
#' @param dec number of digits to the right of the decimal place to round statistics to
#'
#' @returns data frame. The `R2` column is from the last adjusted \eqn{R^2} computed by `orm`,
#' which adjustes for the effective sample size and the number of betas.
#' @export
#' @md
#' @author Frank Harrell
#'
#' @examples
#' \dontrun{
#' f <- orm(y ~ x1 + x2, family='loglog', x=TRUE, y=TRUE)
#' Olinks(f)
#' }
Olinks <- function(object, links=c('logistic', 'probit', 'loglog', 'cloglog'), dec=3) {
if(! inherits(object, 'orm')) stop('object must an orm object')
if(! all(c('x', 'y') %in% names(object))) stop('must run orm with x=TRUE, y=TRUE')
fam <- object$family
links <- unique(c(fam, links))
p <- length(coef(object))
fitter <- quickRefit(object, storevals=TRUE, compstats=TRUE, what='fitter')
R <- NULL
for(fm in links) {
f <- if(fm ==fam) object else fitter(family=fm)
dev <- deviance(f)
st <- f$stats
r2 <- st[grep('^R2', names(st))]
last <- length(r2)
r2 <- unname(r2[last])
aic <- dev[2] + 2 * p
d <- data.frame(link=fm, null.deviance=dev[1], deviance=dev[2],
AIC=aic, LR=st['Model L.R.'], R2=r2)
R <- rbind(R, d)
}
row.names(R) <- NULL
for(i in 2 : 6) R[[i]] <- round(R[[i]], dec)
R
}
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