Nothing
klefsjo.ifr<-function (x,alternative="two.sided", exact=FALSE)
{
find.ifr = function(x){
# IFR
x.sort = sort(x)
n = length(x.sort)
D = n*x.sort[1] #find D_{1}
n1 = n+1 #use this in calculating alpha
alpha = ((n1^3) - (3*(n1^2)) + (2*n1))/6
for(i in 2:n){
D = c(D,(n-i+1)*(x.sort[i]-x.sort[i-1])) #alpha_{1}
alpha = c(alpha, (((n1^3)*i) - (3*(n1^2)*(i^2)) + (2*n1*(i^3)))/6)
}
A = sum(alpha*D)/sum(D)
A.star = A*sqrt(7560/(n^7))
return(A.star)
}
prob.klefsjo = function (t,n)
{
#P(A>t) = sum_{j=1}^{n}(product_{i=1 (i neq j)}^{n}[(a_{j}-t)/(a_{j}-a_{i})]delta_{j})
#NOTE: This DOES NOT WORK if two or more a_{j} are equal
n1 = n+1 #for readability in the formula
j = 1:n
coe = (((n1^3)*j) - (3*(n1^2)*(j^2)) + (2*n1*(j^3)))/6 #calculate the a's
t = t/(sqrt(7560/(n^7))) # convert from A* to A
delta = function(coeff, t){
#if coeff> t, delta_{j} =1, else 0
if(coeff>t) return(1)
else return(0)
}
sum.val = 0 #initialize sum to 0
for(j in 1:n){
prod.val = 1 #initialize product to 1
for(i in 1:n){
if(i!=j){
prod.val = prod.val * (((coe[j]-t)/(coe[j]-coe[i]))*delta(coe[j],t))
}
}
sum.val = sum.val + prod.val
}
return(sum.val)
}
# The next three lines are modified from fisher.test to get the correct alternative
# hypotheses. Citation needed?
alternative <- char.expand(alternative, c("two.sided", "dfr", "ifr"))
if (length(alternative) > 1L || is.na(alternative))
stop("alternative must be \"two.sided\", \"dfr\" or \"ifr\"")
A.star = find.ifr(x)
n = length(x)
# large sample approximation
if(n>=9){
if(exact==FALSE){
if(alternative=="dfr"){
p=pnorm(A.star)
}
#dmrl
if(alternative=="ifr"){
p=pnorm(A.star, lower.tail=F)
}
#not equal
if(alternative=="two.sided"){
p=2*pnorm(abs(A.star), lower.tail=F)
}
cat("A*=", A.star, "\n", "p=", p,"\n")
return(list(A.star=A.star,prob=p))
}
}
# Exact Test
#dfr
if(alternative=="dfr"){
p=1-prob.klefsjo(A.star,n)
}
#ifr
if(alternative=="ifr"){
p=prob.klefsjo(A.star,n)
}
#not equal
if(alternative=="two.sided"){
p=2*min(1-prob.klefsjo(A.star,n),prob.klefsjo(A.star,n))
}
if(is.na(p)){
print("Large Sample Approximation Used because of Equal Coefficients")
# Recalculate with large sample approx.
if(alternative=="dfr"){
p=pnorm(A.star)
}
#dmrl
if(alternative=="ifr"){
p=pnorm(A.star, lower.tail=F)
}
#not equal
if(alternative=="two.sided"){
p=2*pnorm(abs(A.star), lower.tail=F)
}
}
cat("A*=", A.star, "\n", "p=", p,"\n")
return(list(A.star=A.star,p=p))
}
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