While the sample size is admittedly small, my own personal experience has suggested that the opposite may be true.
Also the average IQ for those doing their PhD is about 125, which is 25 points and almost a couple sigmas past average.
Moreover, anyone who has been around PhD's would see very clearly that this is the case.
Either way you're losing this one badly.
IQ and 'intelligence' are difficult qualities, no doubt, but they crudely do exist, and PhD's are 'smarter'. That's pretty much unambiguous.
I’m sorry if you actually spent money on getting yours, though. I would try to let go of the ego and accept it and not try to cope with it in a thread that everyone forgot about (the only reason I’m replying is because I’m getting reply notifications from the ‘HN Replies’ bot).