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Interactions in Generalized Linear Models: Theoretical Issues and an Application to Personal Vote-Earning Attributes

Author

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  • Tsung-han Tsai

    (Department of Political Science, Washington University in St. Louis, One Brookings Drive, St. Louis,MO 63130-4899, USA)

  • Jeff Gill

    (Department of Political Science, Division of Biostatistics, and Department of Surgery, Washington University in St. Louis, One Brookings Drive, St. Louis, MO 63130-4899, USA)

Abstract

There is some confusion in political science, and the social sciences in general, about the meaning and interpretation of interaction effects in models with non-interval, non-normal outcome variables. Often these terms are casually thrown into a model specification without observing that their presence fundamentally changes the interpretation of the resulting coefficients. This article explains the conditional nature of reported coefficients in models with interactions, defining the necessarily different interpretation required by generalized linear models. Methodological issues are illustrated with an application to voter information structured by electoral systems and resulting legislative behavior and democratic representation in comparative politics.

Suggested Citation

  • Tsung-han Tsai & Jeff Gill, 2013. "Interactions in Generalized Linear Models: Theoretical Issues and an Application to Personal Vote-Earning Attributes," Social Sciences, MDPI, vol. 2(2), pages 1-23, May.
    • Handle: RePEc:gam:jscscx:v:2:y:2013:i:2:p:91-113:d:25541
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    References listed on IDEAS

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    1. William D. Berry & Jacqueline H. R. DeMeritt & Justin Esarey, 2010. "Testing for Interaction in Binary Logit and Probit Models: Is a Product Term Essential?," American Journal of Political Science, John Wiley & Sons, vol. 54(1), pages 248-266, January.
    2. Brambor, Thomas & Clark, William Roberts & Golder, Matt, 2006. "Understanding Interaction Models: Improving Empirical Analyses," Political Analysis, Cambridge University Press, vol. 14(1), pages 63-82, January.
    3. Matthew Søberg Shugart & Melody Ellis Valdini & Kati Suominen, 2005. "Looking for Locals: Voter Information Demands and Personal Vote‐Earning Attributes of Legislators under Proportional Representation," American Journal of Political Science, John Wiley & Sons, vol. 49(2), pages 437-449, April.
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    2. Giuliani, Elisa & Ciravegna, Luciano & Vezzulli, Andrea & Kilian, Bernard, 2017. "Decoupling Standards from Practice: The Impact of In-House Certifications on Coffee Farms’ Environmental and Social Conduct," World Development, Elsevier, vol. 96(C), pages 294-314.
    3. Elisa Giuliani & Federica Nieri & Andrea Vezzulli, 2019. "BEST IN CLASS BUT BIG WRONGDOERS: Exploring the financial performance and human rights infringe ments nexus in large emerging country companies," Discussion Papers 2019/250, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    4. Abidin Alhassan & Leon Li & Krishna Reddy & Geeta Duppati, 2021. "The relationship between political instability and financial inclusion: Evidence from Middle East and North Africa," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(1), pages 353-374, January.

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