Abstract
Vote-specific parameters are often by-products of roll call analysis, the primary goal being the measurement of legislators' ideal points. But these vote-specific parameters are more important in higher-dimensional settings: prior restrictions on vote parameters help identify the model, and researchers often have prior beliefs about the nature of the dimensions underlying the proposal space. Bayesian methods provide a straightforward and rigorous way for incorporating these prior beliefs into roll call analysis. I demonstrate this by exploiting the close connections among roll call analysis, item-response models, and “full-information” factor analysis. Vote-specific discrimination parameters are equivalent to factor loadings, and as in factor analysis, they (1) enable researchers to discern the substantive content of the recovered dimensions, (2) can be used for assessing dimensionality and model checking, and (3) are an obvious vehicle for introducing and testing researchers' prior beliefs about the dimensions. Bayesian simulation facilitates these uses of discrimination parameters, by simplifying estimation and inference for the massive number of parameters generated by roll call analysis.
Publisher
Cambridge University Press (CUP)
Subject
Political Science and International Relations,Sociology and Political Science
Reference34 articles.
1. Classifications were performed by generating predicted probabilities of each individual voting decision with all model parameters set to their posterior means and using a classification threshold of 0.5.
2. The Gibbs sampler is effectively “trapped” at the mode closest to its initial state, and the probability of jumping the wide region of the parameter space separating the two modes (where the posterior density is essentially zero) is extremely low and, hence, never occurs even in an extremely long run of the Gibbs sampler.
3. Estimating Legislators’ Preferred Points;Londregan;Political Analysis,2000a
4. Ordinal Data Modeling
5. Evaluating Theories of Congressional Roll-Call Voting
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