Thread: Q19
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Old 03-19-2013, 10:36 AM
Haowen Haowen is offline
Join Date: Jan 2013
Posts: 24
Default Re: Q20

Originally Posted by ilya19 View Post
If I understand the problem correctly, P(X=1) is independent on P(h=f). Correct?
P(X=1) is defined over the full joint distribution, i.e. P(X=1)=\sum_h P(X=1,h). The h is marginalized out by the summation. However it doesn't mean that X and h are independent.

The reason why you can ignore P(X=1) is because in Bayesian analysis you usually don't care about the absolute probability of the dataset since it is just a constant that all of your hypotheses are divided by, equally, so it doesn't affect which hypothesis is a-posteriori most probable.
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