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Unlike many other quantitative characteristics used to determine higher education rankings, opinion-based peer assessment scores, and the factors that may influence them, are not well understood. Using peer scores of U.S. colleges of engineering as reported annually in US News and World Report (USNews) rankings, this paper seeks to provide some insight into peer assessments by statistically identifying factors that influence them. With highly detailed data, a random parameters linear regression is estimated to statistically identify factors determining a college of engineering’s average USNews peer assessment score. The findings show that a wide variety of college- and university-specific attributes influence average peer impressions of a university’s college of engineering including the size of the faculty, the quality of admitted students, and the quality of the faculty measured by their citation data and other …