Quantified Effect Sizes for Bleemer (2021) UC Mismatch Findings

confidence: high · 3 sources

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Working research — not a recommendation.

This page records what the evidence says a policy does, not what anyone should do about it. It has been synthesized from the cited sources but has not been independently reviewed.

What the evidence says

The core quantified evidence on this topic comes from Bleemer's (2021) SSRN paper on major restrictions inside the University of California system, using a dynamic difference-in-differences design with placebo bootstrap tests. When a major imposes new restrictions on declaration (typically mechanical GPA cutoffs), the share of underrepresented-minority (URM) students who go on to declare that major decreases by an average of 20 percent, and the average URM proportion among declarants falls by 3.3 percentage points. Given a roughly 10 percentage point decline in all major declarations and a 13 percent pre-restriction URM share, this means URM students exit the major at about 2.1 times the rate of non-URM students (about 25 percentage points versus 12 percentage points). This decline tracks a pre-existing gap: URM students in these soon-to-be-restricted majors had entered with introductory course grades about 0.3 standard deviations lower than non-URM students in the same fields, which sets up the mechanical restriction to remove them disproportionately.

The composition of who remains after a restriction shifts accordingly. Average SAT scores of remaining declarants increase by almost 40 points on the 2400 scale, and average normed first-term GPA of the remaining declarants increases by about 0.75 standard deviations relative to students who exit — a result that holds even when GPA is calculated using only courses outside the major's own discipline, consistent with exiting students having SAT scores as much as 300 points (about one nationwide standard deviation) below the major's average.

Displaced high-intention URM students land in different majors, and it costs them. High-intention students who intended the restricted major become 15 percentage points less likely to successfully declare it (a result the source itself flags as only marginally reliable statistically over the one-to-four-year post-implementation window). Among these high-intention students, URM students end up declaring majors with wage premiums about 1.2 percentage points lower on average than similarly-intended non-URM students, though this estimate averages over both high- and lower-premium restricted majors and has limited power for the high-premium subset alone.

Isolating the mechanism, mechanical (GPA-based) restrictions account for the entire measured gap in URM representation among graduates of restricted majors: 11 percent of graduates from lucrative unrestricted majors were URM, versus 8 percent from restricted majors (a 25 percent relative gap), and this gap is wholly attributable to majors with mechanical restrictions — there is no measurable relationship between discretionary (case-by-case) restrictions and URM graduate share. At a system level, URM graduates hold majors with about 3 percent lower average wages than non-URM graduates' majors in recent years, and within-institution stratification — not sorting between institutions — accounts for about 65 percent of the growth in ethnic stratification of college majors since the 1990s.

A separate secondary source (Wyness 2023), summarizing Bleemer's broader body of work on the Prop 209 affirmative-action ban rather than the major-restriction paper specifically, reports declining educational outcomes and lower wages for URM students after the ban (the wage decline attributed mainly to Hispanic students), no measured effect on STEM course scores or persistence for lower-attaining students reallocated to less-selective universities, and no measured change in educational or labor-market outcomes for marginal nonminority students displaced from UC Berkeley by the ban. None of these three results carries a quantified magnitude in the source — only direction. This is a real gap in what this page can report: the size of the Prop 209 educational-outcome and wage effects, and the test statistics behind the STEM null result, are not available in the reviewed material.

Where the evidence splits

Wyness (2023) states that Bleemer's finding of harm to minority students after Prop 209 stands "in contrast with" prior studies by Arcidiacono et al. (2014) and Arcidiacono et al. (2016), which found no mismatch effects. The claims on this page do not include the Arcidiacono findings directly, and the source gives no detail on what in the study design, population, or period produces the disagreement — the contrast is unexplained by the sources on this page.

A second split concerns whether enrollment at a selective college benefits marginal admits. Wyness (2023), summarizing Bleemer's regression-discontinuity result at UC Berkeley, reports that nonminority students just below the pre-Prop 209 admissions cutoff were relatively unaffected in educational and labor-market outcomes, which the source reads as suggesting limited value of selective education for these marginal students. Leukhina (2024) reports the opposite pattern in general terms: students who enroll at selective colleges are more likely to graduate and earn more, on average, than untreated students with similar SAT scores at the same colleges. Leukhina's claim does not specify whether it addresses the same population or paper as Bleemer's Berkeley discontinuity, and neither source explains the difference — this split is unexplained by the sources on this page.

Thresholds and dose-response

No threshold established in the current sources.

Open empirical questions

Findings

Major restrictions decrease the share of URM students declaring the restricted major

confidence — direction: highconfidence — magnitude: highconsensus: settled — single primary study, placebo-bootstrap-validated
mechanism
mechanical GPA-based restrictions block students below the cutoff from declaring, disproportionately excluding URM students, who enter with introductory course grades about 0.3 standard deviations lower in these fields
effect
20 percent average decline in URM major declarations; 3.3 percentage point decline in URM proportion of declarants; URM students exit restricted majors at about 2.1 times the rate of non-URM students (about 25 vs. 12 percentage points)
conditions / moderators
applies where restrictions are mechanical; discretionary restrictions show no measurable relationship to URM graduate share

Major restrictions increase the average academic profile of students who remain in the major

confidence — direction: highconfidence — magnitude: highconsensus: settled
mechanism
lower-scoring students are the ones who exit when a restriction binds, mechanically raising the remaining group's average
effect
average SAT scores of remaining declarants increase by almost 40 points (2400 scale); average normed first-term GPA of remaining declarants is about 0.75 standard deviations higher than exiting students', replicated using only courses outside the major
conditions / moderators
consistent with exiting students having SAT scores as much as 300 points (one nationwide standard deviation) below the major average

Major restrictions decrease displaced high-intention URM students' likelihood of declaring their intended major and the wage premium of their eventual major

confidence — direction: mediumconfidence — magnitude: mediumconsensus: settled direction, moderate certainty on size
mechanism
high-intention URM students blocked from the restricted major move into majors with lower wage premiums than similarly-intended non-URM students
effect
15 percentage point decline in the likelihood that high-intention students successfully declare their intended major; URM students in this group declare majors with wage premiums about 1.2 percentage points lower on average than similarly-intended non-URM students
conditions / moderators
the 15-point estimate is only marginally reliable statistically over the one-to-four-year post-implementation window; the 1.2-point estimate averages across high- and lower-premium restricted majors with limited power for the high-premium subset alone

Mechanical GPA-based restrictions, not discretionary ones, decrease the URM share of restricted-major graduates

confidence — direction: highconfidence — magnitude: mediumconsensus: settled
mechanism
fixed GPA cutoffs mechanically exclude students below the line; discretionary restrictions apply criteria case by case
effect
11 percent of graduates from lucrative unrestricted majors were URM versus 8 percent from restricted majors (a 25 percent relative gap); the entire gap is attributable to mechanically-restricted majors; no measurable relationship for discretionary restrictions
conditions / moderators
specification includes fixed effects for universities and fields

URM graduates hold lower-wage majors, and within-institution stratification accounts for most of the growth in that gap

confidence — direction: highconfidence — magnitude: highconsensus: settled
mechanism
descriptive/decomposition accounting of major choice, not a causal estimate
effect
URM graduates' majors pay about 3 percent less on average than non-URM graduates' majors in recent years; within-institution stratification accounts for about 65 percent of the growth in ethnic stratification of college majors since the 1990s
conditions / moderators
the 65 percent figure is a mechanical decomposition of enrollment and degree data, not a causal estimate

The Prop 209 affirmative-action ban decreased educational outcomes and wages for minority students

confidence — direction: highconfidence — magnitude: lowconsensus: contested — this source frames its finding as departing from prior literature
mechanism
not detailed in this source; the wage decline is attributed mainly to Hispanic students
effect
direction negative for educational outcomes and for wages; no quantified magnitude given
conditions / moderators
the source states this result contrasts with prior studies (Arcidiacono et al. 2014, 2016) that found no mismatch effects, without explaining the difference

The affirmative-action ban had no measured effect on STEM course scores or persistence for reallocated lower-attaining students

confidence — direction: highconfidence — magnitude: lowconsensus: thin — single secondary-source claim
mechanism
lower attainers were shifted to less-selective, better-matched universities, but this reallocation did not change performance or wages
effect
no measured effect on STEM course scores, persistence rates, or wages for these students
conditions / moderators
not established beyond this null result; no test statistic given

Marginal nonminority students displaced from UC Berkeley by affirmative action showed no measured change in educational or labor-market outcomes

confidence — direction: highconfidence — magnitude: lowconsensus: contested (see "Where the evidence splits")
mechanism
regression discontinuity around UC Berkeley's pre-Prop 209 admissions cutoff; students just below the line would likely have been admitted absent the ban
effect
no measured effect on educational or labor-market outcomes for these marginal students
conditions / moderators
the source reads this as suggesting limited value of selective education for these particular students — a reading that stands in an unexplained split against Leukhina (2024) below

Enrolling at a selective college increases graduation rates and earnings for admitted students

confidence — direction: highconfidence — magnitude: lowconsensus: contested (see "Where the evidence splits"); thin evidentiary basis
mechanism
not stated in this source
effect
direction positive for both graduation rate and earnings relative to untreated students with similar SAT scores at the same colleges; no quantified magnitude given
conditions / moderators
the claim does not specify whether it addresses the same population or paper as the UC Berkeley discontinuity result above