One time, I found a scatter plot of male and female heights in pairings, and there was a pretty clear drop-off at x=y. If you're really interested, that's the data source you'd want to have.
Of course, it wouldn't solve the causal question. Are women rejecting men who are shorter, or are men mentally gear-shifting around people who are taller than them? The latter might sound insulting, but that's actually what you'd want it to be, because then you could overcome it with a really good attitude. If all of the grown up monkeys going around in this world are programmed to let the big monkey do the bossing around, that's something you'd expect to see subconsciously acting on both sides - and you'd be able to deal with half of by yourself.
Of course, it wouldn't solve the causal question. Are women rejecting men who are shorter, or are men mentally gear-shifting around people who are taller than them? The latter might sound insulting, but that's actually what you'd want it to be, because then you could overcome it with a really good attitude. If all of the grown up monkeys going around in this world are programmed to let the big monkey do the bossing around, that's something you'd expect to see subconsciously acting on both sides - and you'd be able to deal with half of by yourself.