<p>I looked up the data on % international students in Ph.D. programs in physics at a number of highly-ranked institutions, based on the ranking of doctoral programs just recently issued by the National Academy of Sciences. Here are the percentages of international students in the doctoral programs for a set of these schools:</p>
<p>Caltech 46.0%
MIT 50.0%
Harvard 35.8%
Northwestern 35.5%
Princeton 50.5%, but Plasma Physics as a separate field has 35.5%
Stanford 46.5%
University of California, Berkeley 21.8%
University of Illinois, Urbana-Champaign 42.4%
University of Michigan 43.4%
University of Wisconsin, Madison 25.6%
Yale 43.8%</p>
<p>These percentages are higher than I would have guessed. However, international students are in a minority in all of these Ph.D. programs, except for Physics at Princeton. When you include the numbers in Plasma Physics at Princeton, international students are probably in a minority there, also.</p>
<p>Ph.D. students are supported in three primary ways: by teaching assistantships, by research assistantships, and by fellowships. If the majority of the TA’s (or TF’s) are foreign, but the majority of the graduate students are not foreign, this suggests that the American students are favored for RA’s and fellowships.</p>
<p>Finally, I will mention that it is interesting to look at the data on the “R” rankings of graduate programs in the US. To determine the R rankings, faculty at various institutions were asked to rate the Ph.D. programs at a subset of institutions in their fields. A set of variables were identified that could be used to predict these rankings. The methodology is described (somewhat incompletely, as far as my browsing went) at the site:
[url=<a href=“http://www.nap.edu/rdp/#download]A”>http://www.nap.edu/rdp/#download]A</a> Data-Based Assessment of Research-Doctorate Programs in the United States<a href=“regression%20analysis,%20principal%20component%20transformation,%20etc.”>/url</a>
So the R rankings are not based directly on the assessments by the faculty, but rather on the implicit statistical model derived from their rankings. A range of possible R rankings were determined, and the middle 90% were used. (I didn’t find the determination of the “middle 90%” described to my satisfaction in the part of the report I skimmed, but it might be detailed elsewhere.)</p>
<p>In any event, the significant point is: At both ends of the middle 90% of all R based rankings, the % of international students in the Ph.D. program correlated negatively with the ranking of the doctoral program in the following disciplines:
Biochemistry, Ecology and Evolution, Immunology, (something I wrote down as “Int Bio” and can’t recall exactly now), Microbiology, Neuroscience, Pharmacology, Physiology, Public Health, Aerospace Engineering, Biomedical Engineering, Chemical Engineering, Mechanical Engineering, Operations, Chemistry, Computer Science, and Earth Science.</p>
<p>That is, in these fields, according to the overwhelming majority of all ranking algorithms derived from the assessment of the programs by faculty, the number of international students is a negative indicator for the quality of the program. </p>
<p>(Note that the “middle 90%” does not refer to the middle 90% of Ph.D. programs. It refers to the middle 90% of the ranking algorithms themselves.)</p>
<p>In Physics, the % of international students is correlated negatively with the quality of the program starting at the 5% point of the ranking algorithms, and positively at the 95% point. However, the absolute value of the negative correlation (at the 5% level) is much, much larger than the absolute value of the positive correlation (at the 95% level). The NRC committee refused to release the median correlation coefficients, but I’d have to guess that it is negative for international students in Physics Ph.D. programs, based on the data they did release.</p>
<p>A similar situation holds in Genetics and Astrophysics, and to a lesser extent, in Math.</p>
<p>Foreign students are clearly beneficial to the Ph.D. program R rankings in Psychology, Public Affairs, Sociology, Classics, Animal Science, and Nursing. Not what you’d expect.</p>
<p>In most fields not named above, foreign students contribute negatively to the program ranking at the 5% cut-point, and positively at the 95% cut-point. Typically the absolute value of the negative coefficient is larger than the absolute value of the positive coefficient.</p>