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#COHN ****|==|====-====|====-====|====-====|====-====|====-====|====-====|==////////
#COHN
#COHN Inverse function: Computing critical point given probability
#COHN Note that initial guess is based on approximating integral by
#COHN function value at 50%-ile.
#COHN
#CritK<-function(n,r,p){
# guess1 = uniroot(function(eta)(peta(.5,n,r,eta)-p),
# interval=c(-10,10))$root
# uniroot(function(x,n,r) {KthOrderPValueOrthoT(n,r,x)$value-p},
# interval=guess1+c(-1,1),n=n,r=r)$root
# }
"CritK" <- function(n, r, p) {
"gfunc" <- function(eta) (peta(0.5, n, r, eta) - p)
guess1 <- NULL
try(guess1 <- uniroot(gfunc, interval=c(-10,10))$root)
if(is.null(guess1)) {
warning("could not uniroot guess1, do not know what to do, need TAC, NA returned")
return(NA)
}
"kfunc" <- function(x,n,r) { RthOrderPValueOrthoT(n, r, x)$value - p }
critk <- NULL
try(critk <- uniroot(kfunc, interval=guess1+c(-1,1), n=n, r=r)$root)
if(is.null(critk)) {
warning("could not uniroot kfunc, do not know what to do, need TAC, NA returned")
return(NA)
}
return(critk)
}
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