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Testing for 'Mismatch'

April 20, 2009

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If members of some minority groups are admitted to elite colleges because of affirmative action -- and don't perform as well as they expected -- does this show a serious flaw in efforts to diversify student bodies?

Critics of affirmative action answer in the affirmative, and this is the basis of the controversial "mismatch" theory -- namely that affirmative action doesn't actually help its intended beneficiaries because they may struggle academically where admitted instead of enrolling at less competitive institutions where they might excel. Mismatch is heatedly debated -- in part because of the political potency of the argument. After all, it allows critics of affirmative action to say that they aren't just worried about white applicants, but about black and Latino students, too.

In a paper released Friday, four scholars at Duke University (three in economics and one in sociology) propose a new way to test for mismatch. They say that much more information is needed than has typically been available in the past. But because they were able to obtain this information for Duke, they argue that a mismatch test is possible. They propose a test in which applicants admitted to an elite university are asked to predict their first-year grades and are then told the average grades earned by members of similar ethnic and racial groups admitted under similar circumstances. In this situation, they argue, students admitted under affirmative action could make an informed judgment on whether they were being mismatched.

The data released by the scholars in explaining their idea could be quite controversial. Private colleges and universities historically release very little information, broken down by race and ethnicity, about the admissions qualifications and subsequent performance of students. Getting even SAT averages by race can be difficult. Duke provided the researchers not only with SAT averages, but with admissions officers' average rankings of admitted students on a five-point scale, by race, as well as the students' own projected first-year grades and actual grades.

Generally, the data show that Asian admitted students had better rankings and scores than all other groups, although their advantage over white students was modest. But Asian and white applicants are generally far above other applicants. And while all groups, on average, overestimated their academic performance in their first year at Duke, black and Latino students had the largest gaps between the performance they expected and what they achieved.

The study, "Does Affirmative Action Lead to Mismatch," is by Peter Arcidiacono, Esteban M. Aucejo, Hanming Fang and Kenneth I. Spenner, and was released by the National Bureau of Economic Research. (An abstract is available here, as is information on how to download the study for $5.)

Via e-mail, the researchers collectively answered questions about their study, and said that they are trying to change the way mismatch theory is measured. Some of the early, controversial studies have used statistics such as graduation rates or passage rates on bar exams.

The Duke researchers argue for a broader examination of mismatch, including some sense of students' actual perspective. And they say that existing data -- even the detailed information from Duke -- is not enough to demonstrate that mismatch exists or doesn't.

"As is amply clear from the introduction and the literature review in our paper, the literature on mismatch is very important, but still in very early stage," the Duke scholars said. "Researchers are not even settled on what 'mismatch' should mean, let alone making firm statements about whether there is 'mismatch.' As you read through our paper, you will notice that we take a very nuanced view about what should 'mismatch' mean: We think it should be measured by whether the minority students are made worse off, in utility terms, by attending elite universities. Since utility can not and is not captured by any single outcomes, in our formulation mismatch should not be judged from any single outcomes."

Asked if they are generally supporters or critics of affirmative action, the scholars replied: "We are neither supporters nor critics (or in a sense, both critics and supporters) of affirmative action. We, as social scientists, have only one goal: contribute to the understanding of the implications of affirmative action in admissions practices by proposing new concepts, new tools and new data sets. We firmly believe that higher education and its stakeholders are best served if we understand the process."

The data on which the paper is based come both from Duke admissions and from the university's Campus Life and Learning Project, which surveys cohorts of students on a range of issues. This gave the Duke researchers an unusual mix of data -- including both student views of their academic performance, actual performance and admissions analysis.

Here are the data used by the scholars from a recent Duke class cohort to show the gaps in admissions rankings, test scores, students' own projected grades, actual grades and other factors. The admissions rankings are based on a five-point scale used by the staff to evaluate applicants, and cover assessments of applicants academic achievement, quality of their curriculum and various other factors.

Duke Admissions and Academic Performance Statistics by Race and Ethnicity

Variable White Black Asian Latino
Admissions office evaluations (on 5-point scale)        
--Achievement 4.34 3.75 4.67 4.13
--Curriculum 4.71 4.46 4.91 4.72
--Essay 3.52 3.26 3.58 3.31
--Personal qualities 3.57 3.34 3.52 3.30
--Recommendations 3.97 3.55 4.06 3.55
--Test scores 3.69 2.09 4.10 2.79
SAT average 1417 1281 1464 1349
Family income        
--Less than $50,000 10% 32% 19% 22%
--$50,000-$99,999 19% 30% 24% 23%
--$100,000 and higher 71% 37% 57% 54%
Academic performance        
--Students' expected first year grade-point average 3.51 3.44 3.67 3.53
--Students' actual first year grade-point average 3.33 2.90 3.40 3.13

The authors of the study offer two ways to determine if mismatch is real and a problem. One would be for the admissions office to conduct an experiment in which admitted minority students are divided into two random groups. One group would receive the standard letter. The other would receive information related to the admissions officers' rankings and possible impact on post-enrollment academic performance. "If we observe that the enrollment rate for the second group is smaller than the first group, this will prove that the university's private information may have generated mismatch," the paper says.

A second test the authors offer would involve asking admitted students what they expect their grade-point average to be their first year, and then telling them what it is likely to be.

The authors stress that this information Duke has doesn't mean that there is mismatch, and that it can actually be used so that entering students know what they getting into and make informed decisions. "To the extent that a university with active affirmative action programs is concerned about potential mismatch, it suggests that releasing more information to their applicants about how the admission officers feel about their fit with the university will minimize possibilities for actual mismatch," the paper says. "More transparency and more effective communication with the students, and possibly pre-enrollment sit-ins in college classrooms, etc. can help minority students enrolling an an elite university potentially find out that they would have been better off elsewhere."

A key point stressed by the authors is that their views are theirs as scholars, and do not represent Duke's opinions.

Christoph Guttentag, dean of undergraduate admissions, said he has yet to read the paper, but he noted that Duke's graduation rates are extremely high across ethnic and racial groups.

"I'd say that our ratings system is a tool -- no more and no less -- for gathering, organizing, and interpreting some of the information we use in the admissions decision. There are many additional factors that we consider in making our decisions, which is why we read and discuss each individual application rather than simply let a rating system determine the decision," he said.

As for potential mismatch, he said: "We believe that every student we admit has the preparation and attitude to be fully successful at Duke. We certainly don't admit anyone about whom we have doubts."

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Comments on Testing for 'Mismatch'

  • Missing the forest for the trees
  • Posted by Roger Clegg , President and General Counsel at Center for Equal Opportunity on April 20, 2009 at 8:45am EDT
  • All very interesting, but doesn’t this article miss the forest for the trees? The most important point, found in the last line of the table but not commented on, is this: The first-year GPA for white and Asian students was 3.33 and 3.40, respectively; for black students it was 2.90; for Latinos was 3.13. So the ethnic groups that, in all likelihood, got preferences (look at the rest of the table) did substantially worse than the ethnic groups that did not (e.g., a half-point gap between blacks and Asians). Sounds like confirmation of “the controversial ‘mismatch’ theory” to me. (This is not news, of course: The Shape of the River acknowledged that African Americans at selective schools on average had a class rank in the 23rd percentile, versus the 53rd percentile for whites; the Center for Equal Opportunity’s studies over the years have found similar gaps.)

  • Race or income
  • Posted by Bryan at ACE on April 20, 2009 at 9:00am EDT
  • Interesting that 71% of Whites and more than 50% of Asians and Hispanics had household incomes in excess of $100,000 compared to just 37% of African Americans yet the study (or at least the article) suggests that "mismatch" is largely a function of race.

  • Posted by TM , Associate Professor at Research University on April 20, 2009 at 9:15am EDT
  • I know SAT scores are out of vogue and all, but for these 4 data points:

    GPA = 0.0028 * SAT - 0.6478, r2 = 0.98

  • Posted by David Kane on April 20, 2009 at 10:00am EDT
  • Free version of the paper available here:

    http://www.econ.duke.edu/~hf14/WorkingPaper/mismatch/mismatch_april2009.pdf

  • What about parents? Families?
  • Posted by Carlos , Small Cog/Big Wheels at GigaState U on April 20, 2009 at 10:00am EDT
  • " .. Interesting that 71% of Whites and more than 50% of Asians and Hispanics had household incomes in excess of $100,000 compared to just 37% of African Americans yet the study (or at least the article) suggests that "mismatch" is largely a function of race."

    Or intact families generate more resources to support focused learning.

    Engaging research. Somewhere, I hear Comedy Central exclaim -- "Darn you facts and data! Out!"

  • Stereotype threat?
  • Posted by Dave Stone , Professor of History at Kansas State University on April 20, 2009 at 11:15am EDT
  • I can't imagine this getting past a human subjects review board. I am NOT an expert in the concept of stereotype threat, but from my understanding of it, the experiment suggested here could skew the results of the study and, worse, significantly affect the performance of the students involved. That is, telling students that others of their race have significantly underperformed academically (which the cited figures suggest is in fact the case) would have a measurable further negative impact on their own performance.

  • Misunderstanding Mismatch
  • Posted by John K. Wilson at collegefreedom.org on April 20, 2009 at 11:15am EDT
  • There's a real misunderstanding of mismatch theory in this essay and this article. Mismatch theory holds that minority students given admission preferences are mismatched at elite institutions and as a result fail and drop out, when they would be better off at less prestigious institutions. As I noted in my Myth of Political Correctness book, Sowell's mismatch theory is flawed because there's no evidence that these students would do better (in school, or in life) if they attend less prestigious institutions.

    The fact that disadvantaged students, with worse academic preparation and fewer family resources, do worse than the average student is not a surprise at all. In fact, it's not notable in the least.

    The question is, what are the degree completion rates and career opportunities for these students? And is there any evidence that they would do better at another college?

  • Missing something
  • Posted by TD , central administrator at research extensive public university on April 20, 2009 at 12:00pm EDT
  • I don't understand why the same data/letter would not be sent to white students as well. Couldn't there also be mismatches among white students? It would be interesting to see how many admitted white students decided not to enroll when faced with the additional information. I just don't see how this proposal really addresses mismatches, basically because it assumes that there are no mismatches among whites

  • too few variables!
  • Posted by mathprof on April 20, 2009 at 1:00pm EDT
  • Experience at my institution is that students from lousy high schools do not do well in their first year of college, but, if they're bright and willing, eventually catch on to what university-level work is all about.  They also find what they want to study, and this adds to their motivation.  So focusing solely on the grades in the first year of college vastly overstates the effect being studied.

    Also, some African American or Latino/Latina students do very well; why do the authors of this study not look at this group, and see whether the only difference between them and the ones who do less well is their SAT score?  

    Finally, in terms of real-world success, does graduating from a prestigious and academically excellent place like Duke really make no difference in a person's future?  Would the lower-GPA-at-Duke students in the study achieve more in the society at large had they instead gone to a local third-tier institution?  I don't think so.  White male students, especially those from wealthy families or those proficient in hitting baseballs and the like, have long taken advantage of the "gentleman's C" average at prestigious institutions and parlayed their Ivy League backgrounds into the White House.  Start shooting at these mis-matches and see what happens.

  • Thank you
  • Posted by Larry L. on April 20, 2009 at 3:00pm EDT
  • " .. White male students, especially those from wealthy families or those proficient in hitting baseballs and the like, have long taken advantage of the "gentleman's C" average at prestigious institutions and parlayed their Ivy League backgrounds into the White House."

    You just made the case for the anti-affirmative action types. Great job.

    BTW: the students that you cite appear to spell their last name B-U-S .. ah, you know the rest. It is so obvious. Congratulations.

  • Backtrack
  • Posted by David Eubanks , Director of Exotic Plumbing at JCSU on April 21, 2009 at 8:15am EDT
  • Backtrack to comments about this article on my blog here: http://highered.blogspot.com/2009/04/commodification-of-education.html

  • Posted by Laura on April 21, 2009 at 1:00pm EDT
  • "A second test the authors offer would involve asking admitted students what they expect their grade-point average to be their first year, and then telling them what it is likely to be."

    How can the students be told what their GPA is likely to be? Does every single Hispanic student at Duke have a first-year GPA of 3.13? Bet not. "Average" typically means some data points are higher and some lower. No one can know where a specific student's GPA will fall inside the spread.

  • Posted by JL Picard on April 21, 2009 at 3:00pm EDT
  • How can the students be told what their GPA is likely to be? Does every single Hispanic student at Duke have a first-year GPA of 3.13? Bet not. "Average" typically means some data points are higher and some lower. No one can know where a specific student's GPA will fall inside the spread.

    *facepalm*

  • What happens next?
  • Posted by Dr. Strangelove at MIT on April 21, 2009 at 7:45pm EDT
  • Suppose better information leads to more realistic expectations, and some students decline admissions offers as a result? Will Duke lower admissions standards to keep up the numbers of black and latino students admitted? Maybe the new information won't make any difference to prospective students, but if it does, I expect the result will be that Duke will start recruiting students who are even weaker academically and, presumably, worse at making life choices.

  • Regresion Basics
  • Posted by NRWO , Psychology at UT on May 7, 2009 at 11:30am EDT
  • How can the students be told what their GPA is likely to be? Does every single Hispanic student at Duke have a first-year GPA of 3.13? Bet not. "Average" typically means some data points are higher and some lower. No one can know where a specific student's GPA will fall inside the spread.

    It is fairly straightforward to estimate an individual student's CGPA (college GPA) within a range of error, assuming you have that student's background data. Background data can include SAT scores, HSGPA (high school GPA), and anything else you want to use to predict that student's college GPA.

    The procedure typically involves obtaining a regression equation based on existing students' data (e.g., Duke students), and applying that equation to a prospective student's background data (e.g., a Duke applicant), in order to estimate future CGPA for that student (again, within a range of error). The equations generally predict academic achievement better than a host of other indices (e.g., your and my opinion about who should do well), in both school and work contexts. See, e.g., Schmidt and Hunter's work on cognitive ability tests, which include the SAT (Coyle & Pillow, 2008; Frey & Detterman, 2004), in the workplace.