Addition: To avoid having to completely reject people, you could take randomly select half to enter immediately, and let the other half enter in one year. Then you could measure the difference between the two groups after a year.
Btw, if it were truly just a matter of us picking the right companies, that would be even more impressive given that we reject over 97% of applicants :) That's obviously not the case though, since some of our most successful companies (such as AirBnb) wouldn't exist without YC.
Good point that the question is much less valuable from the perspective of YC partners. From that perspective, all that matters is that the companies perform well in the end. It matters more from the perspective of the applicants. Though even then, because the costs of joining YC are low, it's probably not a big issue for many people.
Agree the success rates would be hard to compare. You'd need to have some other proxies for eventual success besides profits.
Excellent point that if you can show you significantly helped the most successful couple of companies (which account for 80%+ of the value), and there were no other large successes among the people you rejected, then the job is done. You've shown YC increases the expected value of the companies you select.
You currently have people you accept and people that you reject.
You recognize that many of the people that get rejected might actually get accepted if the pool of companies you could manage could be larger. (Similar to how many people are rejected by top schools but the schools recognize that there are people that qualify but miss because of some arbitrary decision process). (After all the class size is pretty much fixed even when the applicant pool rises).
So you create a third class which is, for lack of a better way to put it, "worthy runner up". Like having a silver or bronze medal. (Noting that merely even getting into the Olympics and not getting anything is worth something.)
And then those rejected applicants get some of the halo of YC (which further increases the applicant pool because now it's not solely pass or fail). Plus of course further YC name branding. "While they were rejected by YC they did get a Silver medal and with that..."
Anyway my intuition says that someone branded as "runner up" would do better than someone not given that status.