“…23 In Table 4 we display the average values of these various graduation rates for the top-2 ranked UC campuses, UC Berkeley and UCLA and for the three lowest-ranked campuses, UC Santa Barbara, UC Santa Cruz and UC Riverside, by preparation score quartiles and initial major for minority and non-minority students, respectively. 24 The top (bottom) panel shows results for minority (non-minority) 22 The share of minorities from the bottom quartile of S that applied to UC Berkeley was only 4.43 [= 0.375/0.085] times higher than that for non-minorities, whereas the application rates at UC Riverside for minorities in the bottom quartile was only 1.92 [= 0.673/0.350] times higher than non-minorities. 23 We do not examine the fourth possible outcome, graduation in the sciences, conditional on beginning in the non-sciences, since the incidence of this outcome is so small.…”