There is no specific study like that, but here's data and stats that indicate this
1. First off the amount of men under 30 that aren't having sex has basically
TRIPLED in the past decade, and that is likely increasing:
The share of men under 30 in the USA who aren't have sex has nearly tripled between 2008 and 2018, according to newly published data.
www.joe.ie
2. The average height for a man is like 5ft 9In in America, and a study shows that around 50% of women will reject a man for being 5ft 8In whereas only 1.5% of women will reject a man for being 6ft tall (6ft is their favorite height so that makes sense)
The Scientific Blackpill is about understanding the nature of human social and sexual behavior with a particular focus on evolutionary psychological perspectives...
incels.wiki
The average height for the entire planet (not just American males alone, but the entire population) is 5ft 7In so if we include ethnic men and their propensity to be shorter that makes things even worse for average men (that has a 65% rejection rate)
I am 5ft 7In, I am not surprised by that stat, I have literally had women tell me to my face - "Tall guys get all the cute girls while giving me a trollish look"
Average is not good enough for women these days
Wrong, they aren't that rare