Online dating stats, at least from OKTrends, show tall men have more sexual partners than men below the average height. I also wouldn't be surprised if that also holds true for receiving more responses compared to short men.
Furthermore, my recorded stats of women's profiles in the online dating site Match.com show a significantly higher number of women prefer to date men of their own height or taller than women who are willing to date men shorter than them. Plus, it's also not uncommon for short women to exclusively date tall men, whereas it's very rare for even tall women to date guys who are significantly shorter than them.
Furthermore, my recorded stats of women's profiles in the online dating site Match.com show a significantly higher number of women prefer to date men of their own height or taller than women who are willing to date men shorter than them. Plus, it's also not uncommon for short women to exclusively date tall men, whereas it's very rare for even tall women to date guys who are significantly shorter than them.