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st: continous/ categorical endogenous variable


From   Shyam Kumar <mvshyamkumar@yahoo.com>
To   statalist@hsphsun2.harvard.edu
Subject   st: continous/ categorical endogenous variable
Date   Thu, 8 Jun 2006 06:47:45 -0700 (PDT)

I'm trying to study the relationship between two
variables Y1 and Y2.While both variables are
'continuous' taking on values between 0 and 1,
conceptually there is a difference between 0 values
and >0 values. 

My theory suggests that firms will begin by choosing
either Y1 or Y2. Once they choose Y1 their probability
of choosing Y2 monotonically decreases as Y1
increases. Beyond a point however, as Y1 increases the
probability of choosing Y2 increases.The reverse holds
true if they initially choose Y2. 

I would now like to formally test this using Stata.  
I basically would like to show that after controlling
for various firm characteristics, once Y1 is selected,
the probability of Y2 being selected has a U shaped
relationship with Y1 and vice versa.  I dont think
'cdsimeq' is applicable. Any other suggestions on how
to deal with this problem would be appreciated.Thank
you!



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