hdp323
Let's make the following assumptions the consulting way:
Rank (# of applicants, class size)
Top 15 (600, 20)
16-50 (300, 15)
51-100 (150, 10)
--> (600*15+300*35+150*50, 20*15+15*35+10*50)
--> (27000, 1325)
If we asume a typical applicant applies to 10 schools, it gives us 2700 applicants for 1325 seats for 100 programs. That is, eventually half the people end up somewhere while the other half are rejected by all and pursue something else. I think these are fair estimates. It also means that if 2/3 of Ph.D. entrants eventually get their degrees, we have approximately 900 business Ph.D. produced each year. Others, please let me know if my assumptions are way off.
By the way, I'm headed to the Univ. of Washington - Seattle.
It would appear as if you were quite well prepared for the GMAT Q based on your numerical analysis. You're probably in the general ballpark. Actually, the more assumptions one makes, the more likely they are to approximate something approaching truth--wrong tends to cancel out/offset wrong. So I'll bet you're close, though if I had to bet my bottom dollar, I'd bet it's somewhat less than 50%. Maybe 30 or 40%? But of course, that's just my hand waving guesstimate.
My primary reason is that I consider it unlikely that the average applicant shoots out 10, wouldn't that be on the upper end? For example, I applied to only one law school years ago, where I was accepted. My wife was doing grad work at that school, so it was really there or nowhere. I'd assume there'd be a number of those types applying to PhD programs, at least more of those than the obsessive compulsives with too much time on their hands who blast out 15 or 20 apps. Just a guess, but I'll bet you're close; they
always make it look tougher than it is. My law school, a low-rent top-tier, advertised 17% admits. I'll bet they made offers to 30%.