<p>It seems silly to me to rank Stanford, Yale, and Dartmouth based on absolute numbers of faculty who are members of those national academies/institutes when the schools vary so much in size (undergrad and grad programs). Do you realize how much larger Stanford is than Yale, and how much larger Yale is than Dartmouth? If Yale or Dartmouth doubled their size they would easily see an increase in faculty who are members of those prestigious groups. </p>
<p>And that aside, do those faculty improve the quality of education? No. They exist to do their research, not to teach.</p>