Where Skills Become Choices

The subject now shifts from who reaches education to where students go once they are there. This chapter examines how mathematical and verbal skills are associated with choosing different fields, why that pattern is better understood as comparative advantage than as a boundary between capable and incapable students, and how field-specific completion and earnings profiles change the value attached to college. The goal is to read field choice as a mechanism linking the math–verbal divide to work, without treating an average field return as an individual promise.

Education is not a single destination. Two people can both attend college, and both can graduate, while studying different subjects at different institutions. Their credentials may open some of the same doors, but the tasks they practise, the occupations they encounter, and the average earnings attached to their fields can differ. The field-choice evidence explains how the earlier verbal advantage in educational attainment can coexist with a later mathematics advantage in earnings.

Comparative advantage is about relative fit, not a verdict on ability

Comparative advantage sounds technical, but the underlying idea is familiar. A person can be reasonably strong in more than one area and still have a relative strength that makes one route more attractive or easier to pursue. In the math–verbal evidence, the relevant comparison is between a student’s mathematical and verbal profile. It is not a test of whether that student is “a maths person” or “a words person,” and it does not establish that one group is capable of a field while another is not.

This distinction matters because broad field labels are not complete descriptions of what every course teaches or what every graduate does. The study uses STEM and HASS to identify a pattern in sorting, not to claim that either category has one uniform curriculum or one uniform set of occupations.

The study nevertheless finds a strong and symmetric relationship between the two skill measures and broad field choice. In its IV estimates, mathematics raises the probability of entering an undergraduate STEM field, while verbal skill lowers it. Mathematics lowers the probability of entering HASS—humanities, arts, and social sciences—while verbal skill raises it. The estimated coefficients for undergraduate STEM are 0.686 for mathematics and −0.646 for verbal skill. For HASS, they are −0.549 for mathematics and 0.905 for verbal skill.

These are coefficients on percentile ranks, not percentage-point changes to be read without the model’s scale. Their main meaning is directional and comparative: holding the study’s controls and measurement design constant, stronger mathematics is associated with movement toward STEM and away from HASS, while stronger verbal skill is associated with the reverse movement. The signs point in opposite directions because the two domains are related to different patterns of selection into fields.

The symmetry is useful evidence against a story in which only one skill predicts every choice. It suggests that students sort in relation to their comparative strengths.