My pages are now W3C validated. Will this help on the search engines?

Hello all:
 
 It was a tough job, but I have W3C validated most of my pages now. The validator error messages in "verbose" are somewhere between worthless and misleading. 
I'm glad its nearly done for several reasons. I cleaned up several of my own markup messes for one thing. 
Here's my question: 
Might all this work have a positive impact on my rankings in Google and/or Yahoo Serps? Maybe some small advantage I would have missed by not validating? 
Or, do G and Y frankly not care one way or the other? 
Has anyone ran any experiments along these lines? 
 
Thanks.
 
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