<p>“…what would you call a non brand name university that has superior qualities to tippy top schools?”</p>
<p>This would include those schools that have programs that are the best in the country. Take a look at the book “Colleges That Change Lives” by Loren Pope. Many schools in that book, most of which you have not heard of, have higher acceptance rates to both medical schools and other graduate schools than any Ivy League school.</p>