The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.stat.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Conditional probability problem in the context of a simulation
Replies: 10   Last Post: Jan 27, 2011 5:01 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Mike Lacy

Posts: 3
Registered: 1/20/11
Conditional probability problem in the context of a simulation
Posted: Jan 20, 2011 9:34 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

I'm trying to implement a simulation for a hypothesis testing problem
in which there is more than one way that the null hypothesis might be
true. The null hypothesis would be true if, say, either B = 0 or C =
0. Using "A" to represent the particular empirical evidence against
the null that is of interest, the p-value of interest would be
something like:

Prob[A | (B=0 or C=0)]

I can easily enough set up a simulation that constrains B = 0 and
simulate Prob(A|B=0), or similarly Prob(A|C=0), but I can't see anyway
to represent the constraint (B=0 or C = 0).

So, I'm wondering, as purely a matter of conditional probability, if
there is anyway to say anything about the value of
Prob[A | (B=0 or C=0)] in terms of Prob(A|B=0) and Prob(A|C=0)?

I tried proceeding from Prob[A and (B or C)] / Prob(B or C), but
didn't get anywhere.

I certainly can't see anything possible here, and I'd appreciate a
confirmation of this or (better yet, of course :-}) some kind of

Mike Lacy

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.