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STADL Up! The Spatiotemporal Autoregressive Distributed Lag Model for TSCS Data Analysis

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  • COOK, SCOTT J.
  • HAYS, JUDE C.
  • FRANZESE, ROBERT J.

Abstract

Time-series cross-section (TSCS) data are prevalent in political science, yet many distinct challenges presented by TSCS data remain underaddressed. We focus on how dependence in both space and time complicates estimating either spatial or temporal dependence, dynamics, and effects. Little is known about how modeling one of temporal or cross-sectional dependence well while neglecting the other affects results in TSCS analysis. We demonstrate analytically and through simulations how misspecification of either temporal or spatial dependence inflates estimates of the other dimension’s dependence and thereby induces biased estimates and tests of other covariate effects. Therefore, we recommend the spatiotemporal autoregressive distributed lag (STADL) model with distributed lags in both space and time as an effective general starting point for TSCS model specification. We illustrate with two example reanalyses and provide R code to facilitate researchers’ implementation—from automation of common spatial-weights matrices (W) through estimated spatiotemporal effects/response calculations—for their own TSCS analyses.

Suggested Citation

  • Cook, Scott J. & Hays, Jude C. & Franzese, Robert J., 2023. "STADL Up! The Spatiotemporal Autoregressive Distributed Lag Model for TSCS Data Analysis," American Political Science Review, Cambridge University Press, vol. 117(1), pages 59-79, February.
  • Handle: RePEc:cup:apsrev:v:117:y:2023:i:1:p:59-79_5
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    Cited by:

    1. Racek, Daniel & Thurner, Paul & Kauermann, Goeran, 2024. "Integrating Spatio-temporal Diffusion into Statistical Forecasting Models of Armed Conflict via Non-parametric Smoothing," OSF Preprints q59dr, Center for Open Science.
    2. Hafner-Burton, Emilie M & Schneider, Christina J, 2023. "The International Liberal Foundations of Democratic Backsliding," Institute on Global Conflict and Cooperation, Working Paper Series qt0965w1jb, Institute on Global Conflict and Cooperation, University of California.
    3. Tobias Ruttenauer, 2024. "Spatial Data Analysis," Papers 2402.09895, arXiv.org.

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