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Estimating Legislators' Preferred Points

  • John Londregan (a1)

This paper shows that agnostic spatial models that simultaneously attempt to estimate legislators' preferred points and ideological locations for the proposals on which they vote, such as the well-known NOMINATE model of Poole and Rosenthal, are not identified. The problem arises because the agnostic estimators inherit the granularity of the voting data and, so, cannot recapture the underlying continuous parameter space. I propose an alternative estimator that achieves identification by modeling the agenda.

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BirnbaumA. 1968. “Some Latent Trait Models and Their Use in Inferring an Examinee's Ability.” In Statistical Theories of Mental Test Scores, eds. LordF. M. and NovickM. R. Reading, MA: Addison Wesley.
BradyHenry. 1991. “Traits Versus Issues: Factor Versus Ideal-Point Analysis of Candidate Thermometer Ratings.” Political Analysis 2: 97129.
CoxD. R., and HinkelyD. V. 1974. Theoretical Statistics. New York: Chapman and Hall.
FischerGerhard H. 1995. “Derivations of the Rasch Model.” In Rasch Models: Foundations, Recent Developments and Applications, ed. FischerGerhard H. New York: Springer Verlag.
HabermanS. J. 1977. “Maximum Likelihood Estimates in Exponential Response Models.” Annals of Statistics 5: 815841.
HeckmanJames J., and SnyderJames. 1996. “Linear Factor Models of the Demand for Attributes with an Application to Estimating the Preferences of Legislators,” Department of Economics, University of Chicago. Unpublished paper.
HinichMelvin J., CahoonLawerence, and OrdeshookPeter C. 1978. “A Statistical Multidimensional Scaling Method Based on the Spatial Theory of Voting.” In Graphical Representation of Multivariate Data, ed. WangP C. New York: Harwood, pp. 243279.
LadhaKrishna. 1991. “A Spatial Model of Legislative Voting with Perceptual Error.” Public Choice 68: 151174.
LondreganJohn B. 2000. Legislative Institutions and Ideology in Chile's Democratic Transition. New York: Cambridge University Press.
LordFrederic M. 1983. “Unbiased Estimates of Ability Parameters, of Their Variance, and of Their Parallel Forms Reliability.” Psychometrika 48: 477482.
MaddalaG. S. 1986. Limited Dependent and Qualitative Variables in Econometrics. New York: Cambridge.
MarriottF. H. C., and PopeJ. A. 1954. “Bias in the Estimation of Autocorrelations.” Biometrika 41: 390402.
PooleKeith T., and RosenthalHoward. 1991. “Patterns of Congressional Voting.” American Journal of Political Science 35: 228278.
PooleKeith T., and RosenthalHoward. 1996. Congress: A Political-Economic History of Roll Call Voting. New York: Oxford University Press.
RaschGeorg. 1961. “On General Laws and the Meaning of Measurement in Psychology.” Proceedings of the IV Berkeley Symposium on Mathematical Statistics and Probability 4: 321333.
StokesDonald. 1963. “Spatial Models of Party Competition.” American Political Science Review 57: 368377.
ThurstoneL. L. 1925. “A Method of Scaling Psychological and Educational Tests.” Journal of Educational Psychology 16: 433451.
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Political Analysis
  • ISSN: 1047-1987
  • EISSN: 1476-4989
  • URL: /core/journals/political-analysis
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