Major
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Choosing a major is not made easier by… not actually knowing what most of the majors do. Here's a breakdown of, roughly, the methodolog(ies) of the different Princeton majors.
Economics
Empirical
In Empirical Economics you take a large dataset and run regressions on it to try to figure out patterns.
Econometrics
In Econometrics you are basically a kind of statistician—you try to figure out better statistical methods.