Does the Stock Market typically do better on Fridays?

I, like many, get paid on a Friday. I typically like to take a portion of my paycheck and buy stocks. I'm not sure if it's just a coincidence or what not, but I often notice the major indices going up quite a bit on the day I receive my direct deposit, which is kind of annoying because it means I get less stock for my buck so to speak.

I generally don't make much of it (as “it just happens”) and I don't try and time the market, but is there any statistical basis of this, or is this just a case of remembering the times it goes up more than the times it goes down or remains stagnant? Obviously, if this is a well-documented trend then I'd rather just hold on buying in and wait for a different day.