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Advances in Bayesian Time Series Modeling and the Study of Politics: Theory Testing, Forecasting, and Policy Analysis

Published online by Cambridge University Press:  04 January 2017

Patrick T. Brandt
Affiliation:
School of Social Sciences, University of Texas at Dallas, Box 830688, Richardson, TX 75083. e-mail: pbrandt@utdallas.edu (corresponding author)
John R. Freeman
Affiliation:
Department of Political Science, University of Minnesota, 267 19th Avenue, Minneapolis, MN 55455. e-mail: freeman@polisci.umn.edu
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Abstract

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Bayesian approaches to the study of politics are increasingly popular. But Bayesian approaches to modeling multiple time series have not been critically evaluated. This is in spite of the potential value of these models in international relations, political economy, and other fields of our discipline. We review recent developments in Bayesian multi-equation time series modeling in theory testing, forecasting, and policy analysis. Methods for constructing Bayesian measures of uncertainty of impulse responses (Bayesian shape error bands) are explained. A reference prior for these models that has proven useful in short- and medium-term forecasting in macroeconomics is described. Once modified to incorporate our experience analyzing political data and our theories, this prior can enhance our ability to forecast over the short and medium terms complex political dynamics like those exhibited by certain international conflicts. In addition, we explain how contingent Bayesian forecasts can be constructed, contingent Bayesian forecasts that embody policy counterfactuals. The value of these new Bayesian methods is illustrated in a reanalysis of the Israeli-Palestinian conflict of the 1980s.

Type
Research Article
Copyright
Copyright © The Author 2005. Published by Oxford University Press on behalf of the Society for Political Methodology 

References

Beck, Nathaniel, King, Gary, and Zeng, Langche. 2000. “Improving Quantitative Studies of International Conflict: A Conjecture.” American Political Science Review 94: 2136.CrossRefGoogle Scholar
Beck, Nathaniel, King, Gary, and Zeng, Langche. 2004. “Theory and Evidence in International Conflict: A Response to de Marchi, Gelpi, and Grynaviski.” American Political Science Review 98(2): 379389.CrossRefGoogle Scholar
Box, George E.P., and Tiao, George C. 1973. Bayesian Inference in Statistical Analysis. New York: John Wiley and Sons.Google Scholar
Box-Steffensmeier, Janet, and Smith, Renee. 1996. “The Dynamics of Aggregate Partisanship.” American Political Science Review 90(3): 567580.CrossRefGoogle Scholar
Brandt, Patrick T., and Freeman, John R. 2002. “Moving Mountains: Bayesian Forecasting As Policy Evaluation.” Presented at the 2002 Meeting of the Midwest Political Science Association, Chicago, Illinois.Google Scholar
Brandt, Patrick T., and Freeman, John R. 2005. “Modeling Macropolitical Dynamics.” Presented at the Annual Meeting of the American Political Science Association, Washington, DC.Google Scholar
Brandt, Patrick T., and Williams, John T. 2001. “A Linear Poisson Autoregressive Model: The Poisson AR(p) Model.” Political Analysis 9(2): 164184.CrossRefGoogle Scholar
Brandt, Patrick T., and Williams, John T. Forthcoming. Multiple Time Series Models. Beverly Hills: Sage.CrossRefGoogle Scholar
Brandt, Patrick T., Williams, John T., Fordham, Benjamin O., and Pollins, Brian. 2000. “Dynamic Modeling for Persistent Event Count Time Series.” American Journal of Political Science 44(4): 823843.CrossRefGoogle Scholar
Buckley, Jack. 2002. “Taking Time Seriously: The Dynamic Linear Model and Bayesian Time Series Analysis.” Unpublished manuscript, SUNY Stony Brook.Google Scholar
Ciccarelli, Matteo, and Rebucci, Alessandro. 2003. “Bayesian VARs: A Survey of the Recent Literature with an Application to the European Monetary System.” Technical report IMF Working Paper WP/03/102 Washington, DC: International Monetary Fund.CrossRefGoogle Scholar
Clements, Michael. 2004. “Evaluating the Bank of England Density Forecasts of Inflation.” Economic Journal 114: 844866.CrossRefGoogle Scholar
Clements, Michael, and Hendry, David. 1998. Forecasting Economic Time Series. New York: Cambridge University Press.CrossRefGoogle Scholar
Cooley, Thomas F., LeRoy, Stephen F., and Raymon, Neil. 1984. “Econometric Policy Evaluation: A Note.” American Economic Review 3: 467470.Google Scholar
DeBoef, Suzanna, and Granato, James. 1997. “Near Integrated Data and the Analysis of Political Relationships.” American Journal of Political Science 41(2): 619640.CrossRefGoogle Scholar
deMarchi, Scott, Gelpi, Christopher, and Grynaviski, Jeffery D. 2004. “Untangling Neural Nets.” American Political Science Review 98(2): 371378.Google Scholar
Diebold, F. X., Gunther, T. A., and Tsay, A. S. 1998. “Evaluating Density Forecasts with an Application to Financial Risk Management.” International Economic Review 39: 863883.CrossRefGoogle Scholar
Doan, Thomas, Litterman, Robert, and Sims, Christopher. 1984. “Forecasting and Conditional Projection Using Realistic Prior Distributions.” Econometric Reviews 3: 1100.CrossRefGoogle Scholar
Edwards, George C., and Dan Wood, B. 1999. “Who Influences Whom? The President and the Public Agenda.” American Political Science Review 93(2): 327344.CrossRefGoogle Scholar
Fair, Ray C., and Shiller, Robert J. 1990. “Comparing Information in Forecasts from Economic Models.” American Economic Review 80(3): 375390.Google Scholar
Fearon, James. 1991. “Counterfactuals and Hypothesis Testing in Political Science.” World Politics 43: 161195.CrossRefGoogle Scholar
Freeman, John R., and Alt, James E. 1994. “The Politics of Public and Private Investment in Britain.” In The Comparative Political Economy of the Welfare State, eds. Janoski, Thomas and Hicks, Alexander M. New York: Cambridge University Press, pp. 136168.CrossRefGoogle Scholar
Freeman, John R., Hays, Jude C., and Stix, Helmut. 2000. “Democracy and Markets: The Case of Exchange Rates.” American Journal of Political Science 44(3): 449468.CrossRefGoogle Scholar
Freeman, John R., Williams, John T., Houser, Daniel, and Kellstedt, Paul. 1998. “Long Memoried Processes, Unit Roots and Causal Inference in Political Science.” American Journal of Political Science 42(4): 12891327.CrossRefGoogle Scholar
Freeman, John R., Williams, John T., and Lin, Tse-Min. 1989. “Vector Autoregression and the Study of Politics.” American Journal of Political Science 33: 842–77.CrossRefGoogle Scholar
Gerner, Deborah J., Schrodt, Philip A., Francisco, Ronald A., and Weddle, Judith L. 1994. “Machine Coding of Event Data Using Regional and International Sources.” International Studies Quarterly 38: 91119.Google Scholar
Geweke, John. 1992. “Evaluating the Accuracy of Sampling-Based Approaches to Calculating Posterior Moments.” In Bayesian Statistics, eds. Bernardo, J. M., Berger, J. O., Dawid, A. P., and Smith, A. F. M. Vol. 4. Oxford: Clarendon, pp. 169194.Google Scholar
Geyer, C. J. 1992. “Practical Markov Chain Monte Carlo.” Statistical Science 7: 473511.Google Scholar
Gill, Jeffrey. 2002. Bayesian Methods: A Social and Behavioral Sciences Approach. Boca Raton, FL: Chapman and Hall.CrossRefGoogle Scholar
Gill, Jeffrey. 2004. “Introduction to the Special Issue.” Political Analysis 12(4): 323337.CrossRefGoogle Scholar
Goldstein, Joshua, and Freeman, John R. 1991. “U.S.-Soviet-Chinese Relations: Routine, Reciprocity, or Rational Expectations?American Political Science Review 85(1): 1736.CrossRefGoogle Scholar
Goldstein, Joshua. S. 1992. “A Conflict-Cooperation Scale for WEIS Event Data.” Journal of Conflict Resolution 36: 369385.CrossRefGoogle Scholar
Goldstein, Joshua S., and Freeman, John R. 1990. Three-Way Street. Chicago: University of Chicago Press.Google Scholar
Goldstein, Joshua S., Pevehouse, Jon C., Gerner, Deborah J., and Telhami, Shibley. 2001. “Reciprocity, Triangularity, and Cooperation in the Middle East, 1979–1997.” Journal of Conflict Resolution 45(5): 594620.CrossRefGoogle Scholar
Granger, Clive W. J. 1999. Empirical Modeling in Economics: Specification and Evaluation. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Hamilton, James D. 1994. Time Series Analysis. Princeton, NJ: Princeton University Press.CrossRefGoogle Scholar
Hays, Jude C., Freeman, John R., and Nesseth, Hans. 2003. “Exchange Rate Volatility and Democratization in Emerging Market Countries.” International Studies Quarterly 47: 203228.CrossRefGoogle Scholar
Heidelberger, P., and Welch, P. D. 1981. “A Spectral Method for Confidence Interval Generation and Run Length Control in Simulations.” Communications of the A.C.M. 24: 233245.CrossRefGoogle Scholar
Heidelberger, P., and Welch, P. D. 1983. “Simulation Run Length Control in the Presence of an Initial Transient.” Operations Research 31: 11091144.CrossRefGoogle Scholar
Jackman, Simon. 2000. “Estimation and Inference via Bayesian Simulation: An Introduction to Markov Chain Monte Carlo.” American Journal of Political Science 44(2): 375405.CrossRefGoogle Scholar
Jackman, Simon. 2004. “Bayesian Analysis for Political Research.” Annual Review of Political Science 7: 483505.CrossRefGoogle Scholar
Kadiyala, K. Rao, and Karlsson, Sune. 1997. “Numerical Methods For Estimation and Inference in Bayesian VAR-Model.” Journal of Applied Econometrics 12: 99132.3.0.CO;2-A>CrossRefGoogle Scholar
Kilian, Lutz. 1998. “Small-Sample Confidence Intervals for Impulse Response Functions.” Review of Economics and Statistics 80: 186201.CrossRefGoogle Scholar
King, Gary, and Zeng, Langche. 2004. “When Can History Be Our Guide? The Pitfalls of Counterfactual Inference.” Unpublished manuscript, Harvard University.Google Scholar
Leeper, Eric M., Sims, Christopher A., and Zha, Tao. 1996. “What Does Monetary Policy Do?Brookings Papers on Economic Activity 1996(2): 163.CrossRefGoogle Scholar
Litterman, Robert B. 1986. “Forecasting with Bayesian Vector Autoregressions—Five Years of Experience.” Journal of Business, Economics and Statistics 4: 2538.Google Scholar
Lutkepohl, H. 1990. “Asymptotic Distributions of Impulse Repsonse Functions and Forecast Error Variance Decompositions in Vector Autoregressive Models.” Review of Economics and Statistics 72: 5378.CrossRefGoogle Scholar
Martin, Andrew, and Quinn, Kevin. 2002. “Dynamic Ideal Point Estimation via Markov Chain Monte Carlo for the U.S. Supreme Court.” Political Analysis 10(2): 134153.CrossRefGoogle Scholar
McGinnis, Michael, and Williams, John T. 1989. “Change and Stability in Superpower Rivalry.” American Political Science Review 83(4): 11011123.CrossRefGoogle Scholar
Mittnik, S., and Zadrozny, P. A. 1993. “Asymptotic Distributions of Impulse Reponses, Step Responses, and Variance Decompoistions of Estimated Linear Dynamic Models.” Econometrica 20: 832854.Google Scholar
Morris, Benny. 2001. Righteous Victims: A History of the Zionist-Arab Conflict 1881–2001. New York: Vintage Books.Google Scholar
Ni, Shawn, and Sun, Dongchu. 2003. “Noninformative Priors and Frequentist Risks of Bayesian Estimators in Vector Autoregressive Models.” Journal of Econometrics 115: 159197.CrossRefGoogle Scholar
Ostrom, Charles, and Smith, Renee. 1993. “Error Correction, Attitude Persistence, and Executive Rewards and Punishments: A Behavioral Theory of Presidential Approval.” Political Analysis 3: 127184.Google Scholar
Robertson, John C., and Tallman, Ellis W. 1999. “Vector Autoregressions: Forecasting and Reality.” Economic Review (Atlanta Federal Reserve Bank) 84(1): 418.Google Scholar
Runkle, David E. 1987. “Vector Autoregressions and Reality.” Journal of Business and Economic Statistics 5: 437442.Google Scholar
Schrodt, Philip A., Gerner, Deborah J., Abu-Jabr, Rajaa, Yilmaz, Oemeur, and Simpson, Erin M. 2001. “Analyzing the Dynamics of International Mediation Processes in the Middle East and Balkans.” Presented at the Annual Meeting of the American Political Science Association, San Francisco.Google Scholar
Sims, Christopher A. 1980. “Macroeconomics and Reality.” Econometrica 48(1): 148.CrossRefGoogle Scholar
Sims, Christopher A. 1987a. “Comment [on Runkle].” Journal of Business and Economic Statistics 5(4): 443449.Google Scholar
Sims, Christopher A. 1987b. A Rational Expectations Framework for Short-Run Policy Analysis. In New Approaches to Monetary Economics, eds. Barnett, William and Singleton, Kenneth. New York: Cambridge University Press, pp. 293310.CrossRefGoogle Scholar
Sims, Christopher A., and Zha, Tao A. 1995. “Error Bands for Impulse Responses.” (Available from http://sims.princeton.edu/yftp/ier/.)Google Scholar
Sims, Christopher A., and Zha, Tao A. 1998. “Bayesian Methods for Dynamic Multivariate Models.” International Economic Review 39(4): 949968.CrossRefGoogle Scholar
Sims, Christopher A., and Zha, Tao A. 1999. “Error Bands for Impulse Responses.” Econometrica 67(5): 11131156.CrossRefGoogle Scholar
Sims, Christopher A., and Zha, Tao A. 2004. “Were There Regime Switches in U.S. Monetary Policy?” (Available from http://www.princeton.edu/sims.)CrossRefGoogle Scholar
Theil, Henri. 1963. “On the Use of Incomplete Prior Information in Regression Analysis.” Journal of the American Statistical Association 58(302): 401414.CrossRefGoogle Scholar
Waggoner, Daniel F., and Zha, Tao. 1999. “Conditional Forecasts in Dynamic Multivariate Models.” Review of Economics and Statistics 81(4): 639651.CrossRefGoogle Scholar
Waggoner, Daniel F., and Zha, Tao. 2000. “A Gibbs Simulator for Restricted VAR Models.” Working paper 2000–3, Federal Reserve Bank of Atlanta.CrossRefGoogle Scholar
West, Mike, and Harrison, Jeff. 1997. Bayesian Forecasting and Dynamic Models, 2nd ed. New York: Springer-Verlag.Google Scholar
Western, Bruce, and Kleykamp, Meredith. 2004. “A Bayesian Change Point Analysis for Historical Time Series Analysis.” Political Analysis 12(4): 354374.CrossRefGoogle Scholar
Williams, John T. 1990. “The Political Manipulation of Macroeconomic Policy.” American Political Science Review 84(3): 767795.CrossRefGoogle Scholar
Williams, John T. 1993. “Dynamic Change, Specification Uncertainty, and Bayesian Vector Autoregression Analysis.” Political Analysis 4: 97125.CrossRefGoogle Scholar
Williams, John T., and Collins, Brian K. 1997. “The Political Economy of Corporate Taxation.” American Journal of Political Science 41(1): 208244.CrossRefGoogle Scholar
Zellner, Arnold. 1971. An Introduction to Bayesian Inference in Econometrics. New York: Wiley Interscience.Google Scholar
Zha, Tao A. 1998. “A Dynamic Multivariate Model for the Use of Formulating Policy.” Economic Review (Federal Reserve Bank of Atlanta) First Quarter:1629.Google Scholar
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