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Re: st: generating random number with restriction to add to a variable in current dataset


From   Fabio Soares <[email protected]>
To   [email protected]
Subject   Re: st: generating random number with restriction to add to a variable in current dataset
Date   Thu, 24 Feb 2005 08:32:11 -0300 (ART)

Thanks Richard.
I'll try it and get back to you.

Fabio

 --- Richard Williams <[email protected]>
escreveu: 
> At 05:45 PM 2/23/2005 -0300, Fabio Soares wrote:
> >Dear all,
> >
> >I want to generate random numbers to add to the
> linear
> >index of a probit model (xb) so that I can predict
> >precisely the 1/0 observed outcomes.
> >Therefore, for y=1 I want to draw a random number
> >(vi)from a N~(0,1) so that xb+v>0 and for y=0 I
> want
> >to draw a random number (vi) so that xb+v<=0. Any
> idea
> >on how I can draw these numbers and add them to the
> >index in few steps?
> 
> Here is a coding I think I like better than what I
> suggested before 
> (although I am not sure if either one is what you
> want).  After running a 
> probit,
> 
> predict xb, xb
> gen xb2=xb+invnorm(uniform())
> egen y1adjust = min(xb2 - .001) if y==1
> egen y0adjust = max(xb2 + .001) if y==0
> replace xb2 = xb2 - y1adjust if y==1
> replace xb2 = xb2 - y0adjust if y==0
> bysort y: sum xb2
> 
> Basically, you are adding a random N(0,1) variable
> to your predicted 
> values, and then adding an adjustment factor that
> will make the new 
> prediction always positive when y = 1 and always
> negative when y = 0.
> 
> Using the auto data:
> 
> . use http://www.stata-press.com/data/r8/auto.dta,
> clear
> . predict xb, xb
> . gen xb2=xb+invnorm(uniform())
> . egen y1adjust = min(xb2 - .001) if foreign==1
> (52 missing values generated)
> . egen y0adjust = max(xb2 + .001) if foreign==0
> (22 missing values generated)
> . replace xb2 = xb2 - y1adjust if foreign==1
> (22 real changes made)
> . replace xb2 = xb2 - y0adjust if foreign==0
> (52 real changes made)
> 
> . bysort foreign: sum xb2
> 
> -----------------------------------------------
> -> foreign = Domestic
> 
>      Variable |       Obs        Mean    Std. Dev.  
>     Min        Max
>
-------------+--------------------------------------------------------
>           xb2 |        52   -4.894559    1.709001 
> -8.809644  -.0009999
> 
> -----------------------------------------------
> -> foreign = Foreign
> 
>      Variable |       Obs        Mean    Std. Dev.  
>     Min        Max
>
-------------+--------------------------------------------------------
>           xb2 |        22     2.23402    1.401082  
> .0009999   5.177322
> 
> 
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