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Polls, Context, and Time: A Dynamic Hierarchical Bayesian Forecasting Model for US Senate Elections

Published online by Cambridge University Press:  18 January 2022

Yehu Chen
Affiliation:
Division of Computational and Data Sciences, Washington University in St. Louis, St. Louis, MO, USA. E-mail: chenyehu@wustl.edu
Roman Garnett
Affiliation:
Department of Computer Science and Engineering, Washington University in St. Louis, St. Louis, MO, USA. E-mail: garnett@wustl.edu
Jacob M. Montgomery*
Affiliation:
Department of Political Science, Washington University in St. Louis, St. Louis, MO, USA. E-mail: jacob.montgomery@wustl.edu
*
Corresponding author Jacob M. Montgomery

Abstract

We present a hierarchical Dirichlet regression model with Gaussian process priors that enables accurate and well-calibrated forecasts for U.S. Senate elections at varying time horizons. This Bayesian model provides a balance between predictions based on time-dependent opinion polls and those made based on fundamentals. It also provides uncertainty estimates that arise naturally from historical data on elections and polls. Experiments show that our model is highly accurate and has a well calibrated coverage rate for vote share predictions at various forecasting horizons. We validate the model with a retrospective forecast of the 2018 cycle as well as a true out-of-sample forecast for 2020. We show that our approach achieves state-of-the art accuracy and coverage despite relying on few covariates.

Type
Article
Copyright
© The Author(s) 2022. Published by Cambridge University Press on behalf of the Society for Political Methodology

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Footnotes

Edited by Jeff Gill

References

Abramowitz, A. I. 2008. “Forecasting the 2008 Presidential Election with the Time-for-Change Model.” PS: Political Science & Politics 41 (4): 691695.Google Scholar
Aitchison, J. 1982. “The Statistical Analysis of Compositional Data.” Journal of the Royal Statistical Society: Series B (Methodological) 44 (2): 139160.Google Scholar
Campbell, J. E. 2018. “The Seats-in-Trouble Forecasts of the 2018 Midterm Congressional Elections.” PS: Political Science & Politics 51 (S1): 1216.Google Scholar
Campbell, J. E., and Wink, K. A.. 1990. “Trial-heat Forecasts of the Presidential Vote.” American Politics Research 18 (3): 251269.CrossRefGoogle Scholar
Carpenter, B., Gelman, A., Hoffman, M. D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M., Guo, J., Li, P., and Riddell, A.. 2017. “Stan: A Probabilistic Programming Language.” Journal of Statistical Software 76 (1): 132.CrossRefGoogle Scholar
Chen, Y., Garnett, R., and Montgomery, J. M.. 2021a. “Replication Data for: Polls, Context, and Time: A Dynamic Hierarchical Bayesian Forecasting Model for US Senate Elections.” Code Ocean. https://doi.org/10.24433/CO.4154884.v1 CrossRefGoogle Scholar
Chen, Y., Garnett, R., and Montgomery, J. M.. 2021b. “Replication Data for: Polls, Context, and Time: A Dynamic Hierarchical Bayesian Forecasting Model for US Senate Elections.” https://doi.org/10.7910/DVN/GNHESM, Harvard Dataverse, V1.CrossRefGoogle Scholar
Economist. 2020. “Forecasting the US Elections.” https://projects.economist.com/us-2020-forecast.Google Scholar
Erikson, R. S., and Wlezien, C.. 2008. “Leading Economic Indicators, the Polls, and the Presidential Vote.” PS: Political Science & Politics 41 (4): 703707.Google Scholar
Fair, R. C. 1978. “The Effect of Economic Events on Votes for President.” The Review of Economics and Statistics 60(2): 159173.CrossRefGoogle Scholar
Fivethirtyeight 2020. “Democrats are favored to win the Senate.” https://projects.fivethirtyeight.com/2020-election-forecast/senate/.Google Scholar
Gill, J. 2020. “Measuring Constituency Ideology Using Bayesian Universal Kriging.” State Politics & Policy Quarterly 21(1): 80107.CrossRefGoogle Scholar
Hainmueller, J., and Hazlett, C.. 2014. “Kernel Regularized Least Squares: Reducing Misspecification Bias with a Flexible and Interpretable Machine Learning Approach.” Political Analysis 22: 143168.CrossRefGoogle Scholar
Hoffman, M. D., and Gelman, A.. 2014. “The No-U-Turn sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo.” Journal of Machine Learning Research 15 (1): 15931623.Google Scholar
Hummel, P., and Rothschild, D.. 2014. “Fundamental Models for Forecasting Elections at the State Level.” Electoral Studies 35: 123139.CrossRefGoogle Scholar
Jackman, S. 2005. “Pooling the Polls Over an Election Campaign.” Australian Journal of Political Science 40 (4): 499517.CrossRefGoogle Scholar
Jacobson, G. C. 1989. “Strategic Politicians and the Dynamics of US House Elections, 1946–86.” The American Political Science Review 83 (3): 773793.CrossRefGoogle Scholar
Jacobson, G. C., and Carson, J. L.. 2019. The Politics of Congressional Elections. Lanham, MD: Rowman & Littlefield.Google Scholar
Katz, J. N., and King, G.. 1999. “A Statistical Model for Multiparty Electoral Data.” American Political Science Review 93(1): 1532.CrossRefGoogle Scholar
Klarner, C. E. 2008. “Forecasting the 2008 US House, Senate and Presidential Elections at the District and State Level.” PS: Political Science and Politics 41 (4): 723728.Google Scholar
Klarner, C. E. 2012. “State-Level Forecasts of the 2012 Federal and Gubernatorial Elections.” PS, Political Science & Politics 45 (4): 655662.CrossRefGoogle Scholar
Klarner, C. E. 2013. “2012 Presidential, US House, and US Senate Forecasts.” PS, Political Science & Politics 46 (1): 4445.CrossRefGoogle Scholar
Klarner, C. E., and Buchanan, S.. 2006. “Forecasting the 2006 Elections for the United States Senate.” PS: Political Science and Politics 39 (4): 849855.Google Scholar
Lewis-Beck, M. S., and Tien, C.. 2008. “The Job of President and the Jobs Model Forecast: Obama for ‘08?PS: Political Science & Politics 41(4): 687690.Google Scholar
Linzer, D. A. 2013. “Dynamic Bayesian Forecasting of Presidential Elections in the States.” Journal of the American Statistical Association 108 (501): 124134.CrossRefGoogle Scholar
Lockerbie, B. 2012. “Economic Expectations and Election Outcomes: The Presidency and the House in 2012.” PS, Political Science & Politics 45 (4): 644647.CrossRefGoogle Scholar
MacWilliams, M. C. 2015. “Forecasting Congressional Elections Using Facebook Data.” PS, Political Science & Politics 48 (4): 579.CrossRefGoogle Scholar
Mohanty, P., and Shaffer, R.. 2019. “Messy Data, Robust Inference? Navigating Obstacles to Inference with bigKRLS.” Political Analysis 27 (2): 127144.CrossRefGoogle Scholar
Monogan, J. E., and Gill, J.. 2016. “Measuring State and District Ideology with Spatial Realignment.” Political Science Research and Methods 4 (1): 97121.CrossRefGoogle Scholar
Philips, A. Q., Rutherford, A., and Whitten, G. D.. 2016. “Dynamic Pie: A Strategy for Modeling Trade-Offs in Compositional Variables Over Time.” American Journal of Political Science 60 (1): 268283.CrossRefGoogle Scholar
Rasmussen, C. E., and Williams, C. K.. 2006. Gaussian Processes for Machine Learning. Cambridge: MIT Press.Google Scholar
Sobol, I. M. 1979. “On the Systematic Search in a Hypercube.” SIAM Journal on Numerical Analysis 16 (5): 790793.CrossRefGoogle Scholar
Stoetzer, L. F., Neunhoeffer, M., Gschwend, T., Munzert, S., and Sternberg, S.. 2019. “Forecasting Elections in Multiparty Systems: A Bayesian Approach Combining Polls and Fundamentals.” Political Analysis 27 (2): 255262.CrossRefGoogle Scholar
Tomz, M., Tucker, J. A., and Wittenberg, J.. 2002. “An Easy and Accurate Regression Model for Multiparty Electoral Data.” Political Analysis 10(1): 6683.CrossRefGoogle Scholar
Walther, D. 2015. “Picking the Winner (s): Forecasting Elections in Multiparty Systems.” Electoral Studies 40: 113.CrossRefGoogle Scholar
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