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Windows of Opportunity: Window Subseries Empirical Variance Estimators in International Relations

Published online by Cambridge University Press:  04 January 2017

Patrick Heagerty
Affiliation:
Department of Biostatistics, University of Washington, Seattle, WA 98195. e-mail: heagerty@u.washington.edu
Michael D. Ward
Affiliation:
Department of Political Science and Center for Statistics in the Social Sciences, University of Washington, Seattle, WA 98195, and Éspace Éurope, Université Pierre Mendès France, Grenoble, France, BP 38040. e-mail: mdw@u.washington.edu
Kristian Skrede Gleditsch
Affiliation:
Department of Political Science, University of California, San Diego, La Jolla, CA 92093-0521. e-mail: kgleditsch@ucsd.edu

Abstract

We show that temporal, spatial, and dyadic dependencies among observations complicate the estimation of covariance structures in panel databases. Ignoring these dependencies results in covariance estimates that are often too small and inferences that may be more confident about empirical patterns than is justified by the data. In this article, we detail the development of a nonparametric approach, window subseries empirical variance estimators (WSEV), that can more fully capture the impact of these dependencies on the covariance structure. We illustrate this approach in a simulation as well as with a statistical model of international conflict similar to many applications in the international relations literature.

Type
Research Article
Copyright
Copyright © Political Methodology Section of the American Political Science Association 2002 

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References

Anselin, Luc. 1988. Spatial Econometrics: Methods and Models. Dordrecht, The Netherlands: Kluwer.CrossRefGoogle Scholar
Barbieri, Katherine, and Schneider, Gerald. 1999. “Globalization and Peace: Assessing New Directions in the Study of Trade and Conflict.” Journal of Peace Research 36:387404.Google Scholar
Beck, Nathaniel, Katz, Jonathan, and Tucker, Richard. 1998. “Taking Time Seriously: Time Series Cross Section Analysis with a Binary Dependent Variable.” American Journal of Political Science 42:12601288.Google Scholar
Beck, Neal, King, Gary, and Zeng, Langche. 2000. “The Problem with Quantitative Studies of Conflict: A Conjecture.” American Political Science Review 94:2136.CrossRefGoogle Scholar
Bennett, D. Scott, and Stam, Allan C. III. 2000. “A Cross-Validation of Bueno de Mesquita and Lalman's International Interaction Game.” British Journal of Political Science 30:541561.CrossRefGoogle Scholar
Besag, Julian E. 1972. “Nearest-Neighbour Systems and the Auto-Logistic Model for Binary Data.” Journal of the Royal Statistical Society, Series B, Methodological 34:75.Google Scholar
Carlstein, Edward. 1986. “The Use of Subseries Values for Estimating the Variance of a General Statistic from a Stationary Sequence.” Annals of Statistics 14:11711179.Google Scholar
Cressie, Noel A.C. 1991. Statistics for Spatial Data. New York: Wiley.Google Scholar
Diggle, Peter J., Liang, Kung-Yee, and Zeger, Scott. 1994. Analysis of Longitudinal Data. Oxford: Clarendon Press.Google Scholar
Diggle, Peter J., Moyeed, Rana A., and Tawn, Jonathan A. 1999. “Model Based Geostatistics, with Discussion.” Applied Statistics 47:299350.Google Scholar
Farber, Henry, and Gowa, Joanne. 1995. “Politics and Peace.” International Security 20(2): 123146.CrossRefGoogle Scholar
Gartzke, Erik. 1998. “Kant We All Just Get Along? Opportunity, Willingness and the Origins of the Democratic Peace.” American Journal of Political Science 42:127.Google Scholar
Gartzke, Erik, Li, Quan, and Boehmer, Charles. 2001. “Investing in the Peace: Economic Interdependence and International Conflict.” International Organization 55:391438.Google Scholar
Gleditsch, Kristian S. 2002. All Politics Is Local: The Diffusion of Conflict, Integration, and Democratization. Ann Arbor: University of Michigan Press.Google Scholar
Gleditsch, Kristian S., and Ward, Michael D. 1999. “Interstate System Membership: A Revised List of Independent States Since 1816.” International Interactions 25:393–341.Google Scholar
Gleditsch, Kristian S., and Ward, Michael D. 2000. “War and Peace in Space and Time: The Role of Democratization.” International Studies Quarterly 44:129.Google Scholar
Gleditsch, Kristian S., and Ward, Michael D. 2001. “Measuring Space: A Minimum Distance Database and Applications to International Studies.” Journal of Peace Research 38:749768.CrossRefGoogle Scholar
Gleditsch Nils, Petter, and Hegre, Håvard. 1997. “Peace and Democracy: Three Levels of Analysis.” Journal of Conflict Resolution 41:283310.Google Scholar
Godambe, Vidyadhar P. 1991. Estimating Functions. Oxford: Clarendon Press.Google Scholar
Greene, William H. 2000. Econometric Analysis. Fourth ed. Upper Saddle River, NJ: Prentice Hall.Google Scholar
Heagerty, Patrick J., and Lumley, Thomas. 2000. “Window Subsampling of Estimating Functions with Application to Regression Models.” Journal of the American Statistical Association 95:197211.Google Scholar
Huber, Peter J. 1981. Robust Statistics. New York: Wiley.Google Scholar
Jones, Daniel M., Bremer, Stuart A., and David Singer, J. 1996. “Militarized Interstate Disputes, 1816-1992: Rationale, Coding Rules, and Empirical Applications.” Conflict Management and Peace Science 15(2): 163213.CrossRefGoogle Scholar
Kant, Immanuel. [1797] 1970. Perpetual Peace: A Philosophical Sketch. Cambridge: Cambridge University Press.Google Scholar
Kmenta, Jan. 1997. Elements of Econometrics. Second ed. Ann Arbor: University of Michigan Press.Google Scholar
Lemke, Douglas, and Reed, William. 2001. “The Relevance of Politically Relevant Dyads.” Journal of Conflict Resolution 45(1): 126143.Google Scholar
Liang, Kung-Yee, and Zeger, Scott L. 1986. “Longitudinal Data Analysis Using Generalized Linear Models.” Biometrika 73(4): 322.Google Scholar
Lumley, Thomas, and Heagerty, Patrick J. 1999. “Weighted Empirical Adaptive Variance Estimators for Correlated Data Regression.” Journal of the Royal Statistical Society B 61:459477.Google Scholar
MacKinnon, James G., and White, Halford. 1985. “Some Modified Heteroskedasticity Consistent Covariance Matrix Estimators with Improved Finite Sample Properties.” Journal of Econometrics 29:305325.Google Scholar
Maoz, Zeev. 1996. Domestic Sources of Global Change. Ann Arbor: University of Michigan Press.Google Scholar
Maoz, Zeev, and Russett, Bruce M. 1993. “Normative and Structural Causes of Democratic Peace, 1946-1986.” American Political Science Review 87(3): 624638.Google Scholar
McCullagh, Peter, and Nelder, John A. 1989. Generalized Linear Model. London: Chapman and Hall.Google Scholar
Newey, Whitney K., and West, Kenneth D. 1987. “A Simple Positive Semi-Definite Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator.” Econometrica 55:703708.Google Scholar
Polachek, Salomon W., Robst, John, and Chang, Yuang-Ching. 1999. “Liberalism and Interdependence: Extending the Trade-Conflict Model.” Journal of Peace Research 36(4): 405422.Google Scholar
Politis, Dimitris N., Romano, Joseph P., and Wolf, Michael. 1999. Subsampling. New York: Springer Verlag.CrossRefGoogle Scholar
Raknerud, Arvid, and Hegre, Håvard. 1997. “The Hazard of War: Reassessing the Evidence for the Democratic Peace.” Journal of Peace Research 34(4): 385404.Google Scholar
Ray, James Lee. 1995. Democracy and International Politics: An Evaluation of the Democratic Peace Proposition. Columbia: University of South Carolina Press.Google Scholar
Russett, Bruce M., and Oneal, John. 2001. Triangulating Peace: Democracy, Interdependence, and International Organizations. New York: W. W. Norton.Google Scholar
Russett, Bruce M., Oneal, John R., and Davis, David R. 1998. “The Third Leg of the Kantian Tripod for Peace: International Organizations and Militarized Disputes, 1950-1985.” International Organization 52:441468.Google Scholar
Sherman, Michael. 1996. “Variance Estimates Computed from Spatial Lattice Data.” Journal of the Royal Statistical Society Series B 58:509523.Google Scholar
Sherman, Michael. 1997. “Subseries Methods in Regression.” Journal of the American Statistical Association 92:10411048.CrossRefGoogle Scholar
Singer, J. David, and Small, Melvin. 1995. National Military Capabilities Data. Ann Arbor, MI: Correlates of War Project.Google Scholar
Small, Melvin, and David Singer, J. 1982. Resort to Arms: International and Civil Wars, 1816-1980. Beverly Hills, CA: Sage.Google Scholar
Ward, Michael D., and Skrede Gleditsch, Kristian. 2002. “Location, Location, Location: An MCMC Approach to Modeling the Spatial Context of War and Peace.” Political Analysis 10:244260.Google Scholar
White, Halbert L. 1980. “A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity.” Econometrica 48:817838.Google Scholar
Zorn, Christopher J.W. 2002. “GEE Models of Political Decision Making.” In Proceedings of the Workshop on Correlated Data Modeling, ed. Gregori, Dario. Trieste, Italy: University of Trieste Press. Forthcoming.Google Scholar
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