# Re: [R] question regarding qmvnorm

Date: Wed, 20 Apr 2011 18:32:49 -0400

If you had told us what the error message was, my job would have been easier. But, at least you provied the code, so it was not hard for me to see where the problem was. There is a problem with the strategy used by `qmvnorm' to locate the initial interval in which the quantile is supposed to lie. In particular, the problem is with the approx_interval() function.

In your case, the interval computed by this function does not contain the root. Hence, uniroot() fails. The solution is to provide the interval that contains the roots. I am cc'ing Torsten so that he is aware of the problem.

The following works:

m <- 10
rho <- 0.1
k <- 2
alpha <- 0.05

cc_z <- rep(NA, length=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, interval=c(0, 5))\$quantile} else {cc_z[i] <- qmvnorm((k*(k-1))/((m-i+k)*(m-i+k-1))*alpha, tail ="upper", sigma=var, interval=c(0,5))\$quantile} }

cc_z

> cc_z

 1.9438197 1.9438197 1.8910860 1.8303681 1.7590806 1.6730814 1.5652220   1.4219558 1.2116459 0.8267921
>

Ravi.

From: r-help-bounces_at_r-project.org [r-help-bounces_at_r-project.org] On Behalf Of li li [hannah.hlx_at_gmail.com] Sent: Wednesday, April 20, 2011 5:59 PM
To: r-help
Subject: [R] question regarding qmvnorm

Dear all,

I wrote the following function previously. It worked fine with the old mvtnorm package.
Somehow with the updated package, I got a error message when trying to use the function.
I need some help. It is sort of urgent. Can anyone please take a look. The function is the following.
Thank you very much!

```                                 Hannah

```

library(mvtnorm)

cc_f <- function(m, rho, k, alpha) {

m <- 10

rho <- 0.1

k <- 2

alpha <- 0.05

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}

}

cc <- 1-pnorm(cc_z)

return(cc)

```                             }

[[alternative HTML version deleted]]

______________________________________________
```
R-help_at_r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.

R-help_at_r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. Received on Wed 20 Apr 2011 - 22:34:54 GMT

Archive maintained by Robert King, hosted by the discipline of statistics at the University of Newcastle, Australia.
Archive generated by hypermail 2.2.0, at Thu 21 Apr 2011 - 10:30:32 GMT.

Mailing list information is available at https://stat.ethz.ch/mailman/listinfo/r-help. Please read the posting guide before posting to the list.