Marginal Effects from the Model with Variation in Colleges: Predicted Change in the Probability of Completing Each Stage in the Educational Pipeline
| Variables | Conditional on Successfully Completing Previous Stage(s) | Unconditional Total Effect | ||
|---|---|---|---|---|
| College Entry* | College Degree† | Health Professions‡ | Health Professions‡ | |
| Male | 0.0011 | 0.0002 | 0.0291 | 0.0061 |
| Black | 0.2956 | 0.3074 | −0.0300 | 0.0044 |
| Black*Male | −0.0748 | −0.1004 | −0.0026 | −0.0040 |
| Hispanic | 0.1295 | 0.1154 | 0.0070 | 0.0053 |
| Asian | 0.1808 | 0.1709 | −0.0029 | 0.0051 |
| SAT (100-point increase) | 0.0968 | 0.1336 | 0.0277 | 0.0066 |
| Dad’s education | ||||
| High school graduate | 0.0757 | 0.0736 | 0.0262 | 0.0052 |
| College graduate | 0.0794 | 0.1108 | 0.0121 | 0.0045 |
| Black*Dad’s education | ||||
| High school graduate | 0.0328 | 0.0460 | 0.0004 | 0.0017 |
| College graduate | −0.0131 | −0.1163 | 0.0001 | −0.0038 |
| Mom’s education | ||||
| High school graduate | 0.0541 | 0.0841 | 0.0343 | 0.0062 |
| College graduate | 0.0880 | 0.1042 | 0.0120 | 0.0051 |
| Black*Mom’s education | ||||
| High school graduate | −0.0962 | −0.1589 | 0.0005 | −0.0052 |
| College graduate | −0.0226 | 0.0387 | 0.0001 | 0.0012 |
| Rural | −0.0591 | −0.0560 | −0.0133 | −0.0044 |
| Rural*Black | −0.0161 | 0.0989 | 0.0001 | 0.0032 |
↵* Refers to individuals enrolling in nonvocational two-year or any four-year colleges or universities.
↵† Refers to individuals receiving a baccalaureate degree from any four-year colleges or universities.
↵‡ Refers to individuals with postbaccalaureate degree who choose an occupation in the health professions.
Note: Marginal effects represent the change in the conditional probability associated with a discrete change (0 to 1) in each of the binary variables listed in Column 1, with the exception of SAT score where we present the effect of a 100-point increase. The unconditional total effect of binary variable Xk on the probability of education/career outcome j is notationally described by (1/n)∑i[Pr(yij = 1 | Xi, Xik = 1) – Pr(yij = 1 | Xi, Xik = 0)]. Conditioning on successfully completing previous stages changes the marginal effect to (1/n)∑i[Pr(yij = 1 | Xi, Xik = 1) – Pr(yij = 1 | Xi, Xik = 0)]. Bolded effects are statistically significant at the 10 percent level or better.