Gilens (2001) proposes a logit model to explain the effect of general political knowledge on policy preferences. The equation reported in the paper is prob(Yi = 1) = α + βGi + Xiγ + Ui, where i indexes subjects; Yi = 1 if subject i favors a certain policy and Yi = 0 otherwise; Gi measures subject i’s general political knowledge;

Xi is a 1×p vector of control variables; and Ui is an error term for subject i. In this model, α and β are scalar parameters, the latter being of primary interest; γ is a p×1 parameter vector. Did Gilens manage to write down a logit model? If not, fix the equation.