Dear all,
   I am trying to calculate certain critical values from bivariate normal
distribution (please see the
function below).

m <- 10
rho <- 0.1
k <- 2
alpha <- 0.05
## calculate critical constants
cc_z <- numeric(m)
var <- matrix(c(1,rho,rho,1), nrow=2, ncol=2, byrow=T)
for (i in 1:m){
   if (i <= k) {cc_z[i] <- qmvnorm((k*(k-1))/(m*(m-1))*alpha, tail="upper",
sigma=var)$quantile} else
               {cc_z[i] <- qmvnorm((k*(k-1))/((m-i+k)*(m-i+k-1))*alpha,
tail="upper", sigma=var)$quantile}
               }



After the critical constants cc_z is calculated, I wanted to check whether
they are correct.


> ##check whether cc_z is correct
>  pmvnorm(lower=c(cc_z[1], cc_z[1]),
upper=Inf,sigma=var)-(k*(k-1))/(n*(n-1))
[1] 0.001111025
attr(,"error")
[1] 1e-15
attr(,"msg")
[1] "Normal Completion"
>   pmvnorm(lower=c(cc_z[3], cc_z[3]),
upper=Inf,sigma=var)-(k*(k-1))/((n-1)*(n-2))
[1] 0.001388974
attr(,"error")
[1] 1e-15
attr(,"msg")
[1] "Normal Completion"


As you can see, there is some error. Supposedly, the answer should be zero
for all cc_z[i]
in the above checking function.

Is there something wrong with my code? Can someone give some help?
Thank you very much!

                                        Hannah

	[[alternative HTML version deleted]]

