Thread: Naive Bayes shortened?

Hi,

Wikipedia states Bayes theorem as:


In my A-level Statistics book, it states the following:


Using a single feature (F) in Bayes theorem, would it be logical to state the following?


The book states that
Hence, in Bayes theorem one may say:

The P(C)s cancel out, hence one is left with:


Is this correct, or have I made a crucial mistake?

Thanks in advance

Originally Posted by webguy

Hi,

Wikipedia states Bayes theorem as:


In my A-level Statistics book, it states the following:


Using a single feature (F) in Bayes theorem, would it be logical to state the following?


The book states that
Hence, in Bayes theorem one may say:

The P(C)s cancel out, hence one is left with:


Is this correct, or have I made a crucial mistake?

Thanks in advance

We usually start with the half Bayes' theorem:



Which immediately gives the full Bayes' theorem:



So what you have is OK, its just a rearrangement of the half Bayes' theorem.

CB