Many questions in political science require knowing not only what voters want (pref-erence orientation) but also how much they want it (preference intensity). In this paper, we assess two methods for measuring individual differences in preference intensity. One method — issue importance items — asks respondents to self-report how important a given set of policy proposals is to them personally. Another — Quadratic Voting for Survey Research (QVSR) — gives respondents a fixed budget to ‘buy’ votes in favor of (against) these policy proposals, with the price for each vote increasing quadratically. We provide theoretical arguments explaining why, in a polarized environment where some respondents may feel pressured to pay lip service to the part...