Nonlinear Psychometric Thresholds for Physics and Mathematics

TL;DR

This study investigates how SAT-M scores relate to success in Physics and Mathematics, revealing a nonlinear threshold effect that influences graduate admission prospects and demographic representation.

Contribution

It identifies a specific nonlinear SAT-M score threshold affecting success in Physics and Mathematics, unlike other majors, with implications for diversity in graduate programs.

Findings

Success probability sharply increases above SAT-M score of 600 in Physics and Math.

No similar threshold effect observed in Sociology, History, English, or Biology.

Findings impact understanding of demographic representation in mathematically intensive fields.

Abstract

We analyze 5 years of student records at the University of Oregon to estimate the probability of success (as defined by superior undergraduate record; sufficient for admission to graduate school) in Physics and Mathematics as a function of SAT-M score. We find evidence of a nonlinear threshold: below SAT-M score of roughly 600, the probability of success is very low. Interestingly, no similar threshold exists in other majors, such as Sociology, History, English or Biology, whether on SAT combined, SAT-R or SAT-M. Our findings have significant implications for the demographic makeup of graduate populations in mathematically intensive subjects, given the current distribution of SAT-M scores.