<p>NAS (National academy of sciences) membership is a good indicator of faculty reputation. Here is a partial NAS membership breakdown by major fields for Stanford and Yale.
(see [National</a> Academy of Sciences:](<a href=“http://www.nasonline.org/site/Dir/157634808?pg=rslts]National”>http://www.nasonline.org/site/Dir/157634808?pg=rslts))</p>
<p>Math: Stanford (5), Yale (3)
applied math: Stanford (8), Yale (2)
chemistry: Stanford (14), Yale (5)
Physics: Stanford (12), Yale (3)
applied physics: Stanford (2), Yale (4)
psycology: Stanford (9), Yale (2)
economics: Stanford (5), Yale (2)
geology: Stanford (4), Yale (1)
geophysics: Stanford (1), Yale (2)
engineering science: Stanford (8), Yale (0)
physiology and pharmacology: Stanford (2), Yale (4)
anthropology: Stanford (1), Yale (4)
computer science: Stanford (4), Yale (0)
sociology and politics: Stanford (7), Yale (1)
biochemistry: Stanford (5), Yale (6)
genetics: Stanford (11), Yale (1)</p>