There are homeschoolers and unschoolers getting admitted to top schools and getting great scholarships. Of course it all depends on what the student does with the opportunities they have. In some ways students outside of traditional education may have an edge in admissions and scholarships because they have a lot more flexibility and freedom to distinguish themselves from the pack.

There hasn't been a lot of good study done on homeschooling and really it is such an incredibly diverse group that it would be very difficult. I think what we can say with certainty right now is that there are homeschoolers who are getting admitted to top colleges and getting great scholarships. Being at home should pose no disadvantage to a talented, motivated student. And, the flexibility afforded by the education may offer some specific benefits like time to focus on special interests and the opportunity to explore more advanced studies while in high school.