Posted by <a href="http://www1.law.ucla.edu/~sander/";>Rick Sander 
(guest-blogging)</a>:
Responding to Critics (2):  “Second-choice” students
http://volokh.com/archives/archive_2005_06_12-2005_06_18.shtml#1118720537


   This is the second in a series of postings further explaining [1]my
   work on the use and effects of racial preferences in law schools, and
   responding to critics of my work. One of the central claims in my
   research is that black law students are often �mismatched� by large
   racial preferences, placing them at schools where they do poorly and
   actually learn less than they would at a school with a smaller
   preference or no preference at all.

   On Friday, I posted a new analysis that strongly corroborates the
   �mismatch� story: for a large sample of blacks admitted to law
   schools, those who passed up their �first choice� law school and went
   to a lower-ranked school � in other words, going to a school where
   they would have been admitted with a smaller preference � had
   dramatically better outcomes (grades, graduation, and bar passage)
   than blacks who made no such choice. Today I want to address some
   questions raised by this analysis.

   First, are the results significant and reliable? The database for this
   analysis includes 1,757 black students entering law school in 1991.
   Just under one-tenth of these students (171) were admitted to their
   first-choice law school but chose to go to another school. This is a
   pretty large sample, and it means that any outcome where the success
   rate of the two groups of blacks is more than six or seven points
   apart (e.g., 80% vs. 87%) will be statistically significant. Pretty
   much all of the outcomes for black second-choice students are, in
   fact, better than the outcomes for other black students, by at least
   that margin (and sometimes by as much as 20 percentage points). So the
   answer to the first question is a resounding Yes.

   Second, are there differences between the black second-choice
   students, and other black law students, that might account for their
   different rates of success? There is one important difference � the
   blacks who chose their second-choice school have, as a group, slightly
   higher average credentials than other black students. That difference
   accounts for about one-seventh of their higher performance. Otherwise,
   the black second-choice students are largely indistinguishable from
   other blacks at the outset of their law school careers. They are about
   equally likely to have a parent who attended law school (6% for the
   second-choicers vs. 7% for other blacks), to have a �burning desire�
   to become a lawyer (30% vs. 30%), to be �very concerned� about getting
   good grades (89% vs. 88%), and to believe they experienced
   discrimination during college (68% vs. 64%).

   The factor that makes second-choice blacks truly different is simply
   that they are less mismatched with their classmates than other blacks
   are. Because they have turned down their �first-choice� school, they
   are at a school where, on average, their �academic index� is only 93
   points below the class mean, compared with a 140-point deficit for
   other blacks. This in turn means that they get significantly higher
   grades, on average � and that, in all likelihood, makes all the
   difference for their future outcomes.

   Going back to the technical discussion, controlling for differences in
   entering credentials makes one of the six interesting outcomes for
   these two groups statistically insignificant (ultimate bar passage).
   But the other five (first-year grades, third-year grades, graduation
   rate, first-time bar passage, and rate at which matriculants become
   lawyers) are significant, and all six outcomes are much higher for the
   second-choice blacks. One can debate what the proper controls should
   be � which factors and comparison groups provide the fairest
   comparison � but I have seen no analysis in which the second-choice
   blacks do not substantially outperform the comparison black group, and
   in which at least some of the differences are highly statistically
   significant.

   Moreover, since the findings of the mismatch theory came from an
   entirely different analysis (comparing blacks and whites), but predict
   with great precision the actual improvements in outcomes for the black
   second-choice students, it would be hard to imagine a more compelling
   confirmation of its basic theses.

   Responding to comments:

   �Mahan Atma� says the results are �nonsense� because the blacks going
   to second-choice schools are not randomly selected; without
   randomization, there can be no true statistical significance. Not so.
   It is of course possible to determine the signficance of a difference
   between two groups that have not been randomly selected�all that
   significance in this context means is that the difference almost
   certainly is not due to randomness, but to some real distinction
   between the two samples. The crucial issue then is what variable
   accounts for this difference. The point of all regression analysis in
   the social sciences is to control for plausible differences that might
   explain why two groups have different outcomes. I find that when one
   uses these controls, the performance gap between the black
   second-choice students and others is largely intact � and
   statistically significant.

   �Michael� contends that the BPS dataset is too noisy to be useful;
   some respondents do not understand the questions properly and
   miscategorize themselves. But I counted as �second-choice� students
   only those who said that they had been admitted to more than one law
   school, and who did not attend their first-choice school for an
   identified reason (usually geographic or financial constraints).
   Moreover, we can accurately estimate the size of the mismatch these
   students faced at their schools. Certainly it�s possible that some of
   the students I�ve identified as black �second-choice� students had
   their hearts set on going to UCLA, but went to their second-choice,
   Harvard, because Harvard offered them more money. But there can�t be
   many such students (or the average size of the mismatch these students
   face wouldn�t show up as being as small as it does), and to the extent
   such noise exists in the data, it simply implies that the results were
   strong enough to show through that noise.

   �Donald� and several others wondered how the �second-choice� effects
   would play out for whites. I discuss this issue in some detail in my
   �[2]Reply to Critics�. Here�s a short answer. The substantial number
   of whites who indicated they turned down their first-choice school
   (largely for the same reasons as blacks) tended to end up with a
   �positive mismatch� � that is, they had higher credentials than most
   of their classmates. This led, predictably, to higher grades in law
   school � well above the class median. In the top half of the class at
   most law schools, however, there isn�t much difference in graduation
   and bar outcomes � the vast majority of students graduate and pass the
   bar. Consequently, the benefits from a �positive mismatch� are a lot
   smaller than the harms of a large �negative mismatch�. So �theory�
   predicts that whites going to second-choice schools will see little if
   any improvement in graduation and bar passage rates, and that�s borne
   out by the data. (The white �second-choice� students may see
   significant job market benefits, but I haven�t tested that idea yet.)

   More coming up�.

References

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   1. file://localhost/var/www/powerblogs/volokh/posts/1118720537.html
   2. http://www1.law.ucla.edu/~sander/

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