The Statistical Analysis of Roll Call

We develop a Bayesian estimation procedure for spatial models of roll call voting. We show how a Bayesian approach to roll call analysis overcomes shortcomings and idiosyncracies of NOMINATE (some of which are not widely recognized). Our Bayesian approach (a) applies to any legislative setting, irrespective of size, legislative extremism, or the number of roll calls available for analysis; (b) provides a mechanism for directly incorporating auxiliary information as to the dimensionality of the underlying policy space, the identity of extremist legislators, key votes and the evolution of the legislative agenda; (c) lets us integrate measurement of legislative preferences with the analysis of those preferences. Notes to NEMP, May 2002 This paper sets out our ‘‘basic setup’ ’ (a Bayesian statistical operationalization of the Euclidean spatial voting model with roll call data), and constrasts it with the NOMINATE algorithms of Poole and Rosenthal. In the talk I will be considering extensions to our model, so as to accommodate and/or test conjectures in the literature on legislative politics (most prominently, the ‘‘party discipline’ ’ hypothesis, and conjectures about legislative responsiveness to constituency interests)