Jj. Heckman et Jm. Snyder, LINEAR PROBABILITY-MODELS OF THE DEMAND FOR ATTRIBUTES WITH AN EMPIRICAL APPLICATION TO ESTIMATING THE PREFERENCES OF LEGISLATORS, The Rand journal of economics, 28, 1997, pp. 142-189
We formulate and estimate a rigorously justified linear probability mo
del of binary choices over alternatives characterized by unobserved at
tributes. We apply the model to estimate preferences of congressmen as
expressed in their votes on bills. The effective dimension of the att
ribute space characterizing votes is larger than what has been estimat
ed in recent influential studies of congressional voting by Poole and
Rosenthal. Congressmen vote on more than ideology, Issue-specific attr
ibutes are an important determinant of congressional voting patterns.
The estimated dimension is too large for the median voter model to des
cribe congressional voting.