Not at all. You don't want to condition on the observed outcome, which is different
from potential outcomes.
Kosuke Imai
Princeton University
Sent from my iPhone
On Apr 5, 2012, at 1:20 PM, georgebaah <baah(a)gatech.edu> wrote:
Hmmm, interesting. Maybe I am thinking too much.
Let me put it this way. Suppose Y takes on two values y1, y2 and
0 < Pr(Y|T) < 1 but say Pr(T=1|Y=y1) = 1.0. Does this violate the potential
outcome model?
George
On Apr 5, 2012, at 12:50 PM, Olivia Lau wrote:
Think of it this way:
If T were independent of Y | X, that is like saying that you expect the treatment to have
no effect on the outcome Y, conditional on background characteristics. If this were the
case, then the treatment T would be considered a failure in the real world, right? :)
On Thu, Apr 5, 2012 at 8:37 AM, georgebaah <baah(a)gatech.edu> wrote:
Hi Everyone,
I have a theoretical question. It's been bothering me for a while.
I have a dataset from which I know the treatment is stochastic: 0 < Pr(T=1 | X) <
1.
Also I know that Y is independent of T given X. However, T is not independent
of Y given X. Does this make sense? Does this violate the theory behind
the potential outcome model? Thanks.
George-
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