# Re: st: Draw new variable with fixed correlation to an existing variable

 From Paulo Guimaraes To statalist@hsphsun2.harvard.edu Subject Re: st: Draw new variable with fixed correlation to an existing variable Date Wed, 15 Aug 2007 16:07:18 -0400

Rachel,

If you want a new normal variable that on average has, say 0.5 correlation, then you can easily do that:

clear
set obs 10000
local corr=0.5
gen x1=invnorm(uniform())
quietly sum x1
local sz=r(sd)
local mz=r(mean)
local s2=`sz'^2*(1/`corr'^2-1)
gen x2=x1+sqrt(`s2')*invnorm(uniform())
corr x1 x2

Paulo Guimaraes

Rachel wrote:

```Suppose I have an existing variable x1, which is distributed as a
standard normal.  I wish to create a new variable x2 (also standard
normal) such that corr(x1,x2)=0.5.  ?Is there a way to do this in
Stata?

Thanks,
Rachel
*
*   For searches and help try:
*   http://www.stata.com/support/faqs/res/findit.html
*   http://www.stata.com/support/statalist/faq
*   http://www.ats.ucla.edu/stat/stata/
```
```*
*   For searches and help try:
*   http://www.stata.com/support/faqs/res/findit.html
*   http://www.stata.com/support/statalist/faq
*   http://www.ats.ucla.edu/stat/stata/
```