Nonparametric priors for ordinal bayesian social science models: Specification and estimation

Journal of the American Statistical Association

Volumn 104, Issue 486, 2009, Pages 453-454

  Gill, Jeff ^a   Casella, George ^b  

^a WASHINGTON UNIVERSITY   (United States)

^b University of Florida ^*  (United States)

Author keywords

Bayesian nonparametrics; Dirichlet process; Gibbs sampler

Indexed keywords

EID: 66549104898     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2009.0039     Document Type: Article

References (91)

1. Albert, J., and Chib, S. (1993), "Bayesian Analysis of Binary and Polychotomous Response Data," Journal of the American Statistical Association,88, 669-679.
2. Aldrich, J. H., and McKelvey, R. D. (1977), "A Method of Scaling with Applications to the 1968 and 1972 Presidential Elections," The American Political Science Review, 71, lll-130.
3. Antoniak, C. E. (1974), "Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems," Annals of Statistics, 2, 1152-1174.
4. Baker, F. (2004), Item Response Theory: Parameter Estimation Techniques,New York: Chapman & Hall/CRC Press.
5. Bartels, L. (1996), "Pooling Disparate Observations," American Journal of Political Science, 40, 905-942.
6. Berk, R. A., Western, B., and Weiss, R. E. (1995), "Statistical Inference for Apparent Populations," Sociological Methodology, 25, 421-458.
7. Berry, D. A., and Christensen, R. (1979), "Empirical Bayes Estimation of a Binomial Parameter Via Mixtures of Dirichlet Processes," Annals of Statistics,7, 558-568.
8. Blackwell, D., and MacQueen, J. B. (1973), "Ferguson Distributions Via Pólya Urn Schemes," Annals of Statistics, 1, 353-355.
9. Bock, R. D., and Aitken, M. (1981), "Marginal Maximum Likelihood Estimation of Item Parameters: Application of an EM Algorithm," Psychometrika, 46, 443-459.
10. Brooks, S. P., and Roberts, G. O. (1998), "Convergence Assessment Techniques for Markov Chain Monte Carlo," in Statistics and Computing, 8, 319-335.
11. Burgess, A. W., and Holmstrom, L. L. (1974), "Rape Trauma Syndrome," The American Journal of Psychiatry, 131, 981-986.
12. -(1979), "Adaptive Strategies and Recovery From Rape," The American Journal of Psychiatry, 136, 1278-1282.
13. Clinton, J., Jackman, S., and Rivers, D. (2004), "The Statistical Analysis of Roll Call Data," The American Political Science Review, 98, 355-370.
14. Cohen, J. E. (1986), "On the Tenure of Appointive Political Executives: The American Cabinet, 1952-1984," American Journal of Political Science, 30,507-516.
15. Dey, D. K., Ghosh, S. K., and Mallick, B. K. (2000), Generalized Linear Models: A Bayesian Perspective, New York: Marcel Dekker.
16. Dinstein, Y. (2005), War, Aggression and Self-Defence, Cambridge: Cambridge University Press.
17. Doss, H. (2007), "Estimation of Bayes Factors for Nonparametric Bayes Problems via Radon-Nikodym Derivatives," Technical Report, University of Florida, Department of Political Science.
18. Escobar, M. D., and West, M. (1995), "Bayesian Density Estimation and Inference Using Mixtures," Journal of the American Statistical Association,90, 577-588.
19. Fenno, R. F. (1959), The President's Cabinet: An Analysis in the Period from Wilson to Eisenhower. New York: Vintage Books.
20. Ferguson, T. S. (1973), "A Bayesian Analysis of Some Nonparametric Problems,"Annals of Statistics, 1, 209-230.
21. Freeman, J. L. (1969), The Political Process: Executive Bureau-Legislative Committee Relations. New York: Random House.
22. Gaubatz, K. T. (1996), ""Democratic States and Commitment in International Relations." International Organization 50, 109-39," Annals of Statistics, 1,209-230.
23. Gelman, A. (2006), "Prior Distributions for Variance Parameters in Hierarchical Models," Bayesian Analysis (Online), 1, 515-533.
24. Gelman, A., and Rubin, D. B. (1992), "Inference from Iterative Simulation Using Multiple Sequences," Statistical Science, 7, 457-511.
25. Geweke, J. (1992), "Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments," in Bayesian Statistics 4, eds, J. M.Bernardo, A. F. M. Smith, A. P. Dawid, and J. O. Berger, Oxford: Oxford University Press.
26. Gill, J., and Waterman, R. W. (2004), "Solidary and Functional Costs: Explaining the Presidential Appointment Contradiction," Journal of Public Administration: Research and Theory, 14, 547-569.
27. Gormley, W. T. (1986), "Regulatory Issue Networks in a Federal System," Policy, 18, 595-620.
28. Greene, W. H. (2003), Econometric Analysis, (5th ed), Saddle River, NJ:Prentice Hall.
29. Hambleton, R. K., Rogers, H. J., and Swaminathan, H. (1991), Fundamentals of Item Response Theory, Newbury Park, CA: Sage Publications Inc.
30. Hart, P. M., Wearing, A. J., and Headey, B. (1993), "Assessing Police Work Experiences: Development of the Police Daily Hassle and Uplifts Scales," Journal of Criminal Justice, 21, 553-572.
31. Heclo, H. (1977), A Government of Strangers: Executive Politics in Washington,Washington: Brookings Institution Press.
32. - (1988), "The In-and-Outer System: A Critical Assessment," Political Science Quarterly, 103, 37-56.
33. Heidelberger, P., and Welch, P. D. (1981), "Adaptive Spectral Methods for Simulation Output Analysis," IBM Journal of Research and Development,25, 860-876.
34. Hill, J. L., and Kriesi, H. (2001), "Classification by Opinion-Changing Behavior: A Mixture Model Approach," Political Analysis, 9, 301-324.
35. Hirano, K. (2002), "Semiparametric Bayesian Inference in Autoregressive Panel Data Models," Econometrica, 70, 781-799.
36. Holmes, T. H., and Rahe, R. H. (1967), "The Social Readjustment Rating Scale," Journal of Psychosomatic Research, 11, 213-218.
37. Hurrell, J. J., Nelson, D. L., and Simmons, B. L. (1998), "Measuring Job Stressors and Strains: WhereWe Have Been, WhereWe Are, and WhereWe Need to Go," Journal of Occupational Health Psychology, 3, 368-389.
38. Imai, K., Lu, Y., and Strauss, A. (2008), "Bayesian and Likelihood Inference for 2 3 2 Ecological Tables: An Incomplete Data Approach," Political Analysis, 16, 41-69.
39. Ingraham, P. W., and Ban,, C. R. (1986), "Models of Public Management: Are They Useful to Federal Managers in the 1980s," Public Administration Review, 46, 152-160.
40. Ivancevich, J. M., Matteson, M. X., Freedman, S. M., and Phillips, J. S. (1990), "Worksite Stress Management Interventions," The American Psychologist,45, 252-261.
41. Jackman, S. (2000a), "Estimation and Inference via Bayesian Simulation: An Introduction to Markov Chain Monte Carlo," American Journal of Political Science, 44, 375-404.
42. - (2000b), "Estimation and Inference Are Missing Data Problems: Unifying Social Science Statistics via Bayesian Simulation," Political Analysis, 8, 307-332.
43. - (2001), "Multidimensional Analysis of Roll Call Data via Bayesian Simulation: Identification, Estimation, Inference, and Model Checking," Political Analysis, 9, 227-241.
44. Jacoby, W. G. (1994), "Public Attitudes Toward Government Spending," American Journal of Political Science, 38, 336-361.
45. Joyce, P. G. (1990), "An Analysis of the Factors Affecting the Employment Tenure of Federal Political Executives," Administration & Society, 22, 127-145.
46. Kaufman, H. (1981), The Administrative Behavior of Federal Bureau Chiefs. Washington, DC: Brookings Institution.
47. Keiser, L. R., and Soss, J. (1998), "With Good Cause: Bureaucratic Discretion and the Politics of Child Support Enforcement," American Journal of Political Science, 42, 1133-1156.
48. Keohane, R. O. (1986), "Reciprocity in International Relations," International Organization, 40, 1-27.
49. King, G., Honaker, J., Joseph, A., and Scheve, K. (2001), "Analyzing Incomplete Political Science Data: An Alternative Algorithm for Multiple Imputation," The American Political Science Review, 95, 49-69.
50. Laitin, D. D., and Wildavsky, A. (1988), "Political Culture and Political Preferences," The American Political Science Review, 82, 589-597.
51. Lazarus, R. S. (1991), "Psychological Stress in the Workplace, " in Handbook On Job Stress, ed. P. L. Perrewé, corte Madera, CA: Select Press, pp. 1-13.
52. Leamer, E. E. (1972), "A Class of Informative Priors and Distributed Lag Analysis," Econometrica, 40, 1059-1081.
53. Lehman, D. R., Wortman, C. B., and Williams, A. F. (1984), "Long-Term Effects of Losing a Spouse or Child in a Motor Vehicle Crash," Journal of Personality and Social Psychology, 52, 218-231.
54. Leibniz, G. W. (1686), Discourse on Metaphysics and the Monadology (trans.George R. Montgomery). Prometheus Books (1992).
55. Little, R. J. A., and Rubin, D. B. (1983), "On Jointly Estimating Parameters and Missing Data by Maximizing the Complete-Data Likelihood," The American Statistician, 37, 218-220.
56. - (1987), Statistical Analysis with Missing Data, New York: John Wiley & Sons.
57. Lo, A. Y. (1984), "On AClass of Bayesian Nonparametric Estimates: I. Density Estimates," Annals of Statistics, 12, 351-357.
58. Lowi, T. (1969), The End of Liberalism: The Second Republic of the United States, New York: W. W. Norton.
59. Martin, A. D., and Quinn, K. M. (2002), "Dynamic Ideal Point Estimation via Markov Chain Monte Carlo for the U.S. Supreme Court, 1953-1999," Political Analysis, 10, 134-153.
60. Mazmanian, D. A., and Sabatier, P. A. (1980), "A Multivariate Model of Public Policy-Making," American Journal of Political Science, 24, 439-468.
61. Miller, G. J., and Moe, T. M. (1983), "Bureaucrats, Legislators, and the Size of Government," The American Political Science Review, 77, 292-322.
62. Morgan, S. L., and Winship, C. (2007), Counterfactuals and Causal Inference,Cambridge: Cambridge University Press.
63. Neal, R. (2000), "The Short-Cut Metropolis Method," Technical Report No. 0606, University of Toronto, Department of Statistics.
64. Newton, T. J. (1989), "Occupational Stress and Coping With Stress: A Critique," Human Relations, 42, 441-461.
65. Niskanen,W. (1971), "Bureaucracy and Representative Government, Chicago: Aldine-Atherton Press.
66. Noll, R. G. (1971), "The Behavior of Regulatory Agencies," Review of Social Economy, 29, 15-19.
67. Olson, M. (1965), The Logic of Collective Action, Cambridge: Harvard University Press.
68. Palfrey, T. R., and Poole, K. T. (1987), "The Relationship Between Information, Ideology, and Voting Behavior," American Journal of Political Science,31, 511-530.
69. Pearl, J. (2000), "Causality: Models, Reasoning, and Inference, Cambridge:Cambridge University Press.
70. Poole, K. T., and Rosenthal, H. (1985), "A Spatial Model for Legislative Roll Call Analysis," American Journal of Political Science, 29, 357-384.
71. - (1997), Congress: A Political-economic History of Roll Call Voting. Oxford: Oxford University Press.
72. - (1991), "Patterns of Congressional Voting," American Journal of Political Science, 35, 228-278.
73. Pratt, L. I., and Barling, J. (1988), "Differing Between Daily Events, Acute and Chronic Stressors: A Framework and Its Implications," in Occupational Stress: Issues and Developments in Research, eds. J. J.Hurrell, L. R. Murphy,S. L. Sauter, and C. L. Copper, New York: Taylor & Francis, pp. 41-53.
74. Quinn, K. M., Martin, A., and Whitford, A. B. (1999), "Voter Choice in Multi-Party Democracies: A Test of Competing Theories and Models," American Journal of Political Science, 43, 1231-1247.
75. Ramsey, F. L. (1972), "A Bayesian Approach to Bioassay," Biometrics, 28,841-858.
76. Redford, E. S. (1969), Democracy in the Administrative State, New York: Oxford University Press.
77. Ringquist, E. J. (1995), "Political Control and Policy Impact in EPA's Office of Water Quality," American Journal of Political Science, 39, 336-363.
78. Rourke, F. E. (1984), Bureaucracy, Politics, and Public Policy, Boston: Little,Brown & Co.
79. Rubin, D. (1987), Multiple Imputation for Nonresponse in Surveys, New York:John Wiley & Sons.
80. Rubin, D. B., and Schenker, N. (1987), "Logit-Based Interval Estimation for Binomial Data Using the Jeffreys Prior," Sociological Methodology, 17,131-144.
81. Schafer, J. L. (1997), Analysis of Incomplete Multivariate Data, New York: Chapman & Hall/CRC Press.
82. Schweinberger, M., and Snijders, T. A. B. (2003), "Settings in Social Networks: A Measurement Model," Sociological Methodology, 33, 307-341.
83. Sethuraman, J. (1994), "A Constructive Definition of Dirichlet Priors," Statistica Sinica, 4, 639-650.
84. Smith, A. (1999), "Testing Theories of Strategic Choice: The Example of Crisis Escalation," American Journal of Political Science, 43, 1254-1283.
85. Thurber, J. (1991), "Dynamics of Policy Subsystems in American Politics," in Interest Group Politics, eds. A. J. Cigler and B. A. Loomis,Washington, DC: CQ Press, pp. 302-348.
86. Vachon, M. L. S., Lyall, W. A. L., Rogers, J., Freedman-Letofsky, K., and Freeman, S. J. J. (1980), "Controlled Study of Self-help Intervention for Widows," The American Journal of Psychiatry, 137, 1380-1384.
87. Vachon, M. L. S., Rogers, J., Lyall,W. A. L., Lancee,W. J., Sheldon, A. R., and Freeman, S. J. J. (1982), "Predictors and Correlates of Adaptation to Conjugal Bereavement," The American Journal of Psychiatry, 139, 998-1002.
88. Western, B. (1996), "Vague Theory and Model Uncertainty in Macrosociology," Sociological Methodology, 26, 165-192.
89. - (1998), "Causal Heterogeneity in Comparative Research: A Bayesian Hierarchical Modeling Approach," American Journal of Political Science,42, 1233-1259.
90. Wilson, J. Q. (1989), "Bureaucracy: What Government Agencies Do and Why They Do It, New York: Basic Books.
91. Wolf, J. (2005), "Public Administration's Multiple Institutionalized Frameworks," Public Organization Review, 5, 183-200.