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Soc. Sci. 2013, 2(2), 91-113; doi:10.3390/socsci2020091

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

1
Department of Political Science, Washington University in St. Louis, One Brookings Drive, St. Louis,MO 63130-4899, USA
2
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
*
Author to whom correspondence should be addressed.
Received: 7 February 2013 / Revised: 23 April 2013 / Accepted: 25 April 2013 / Published: 7 May 2013
(This article belongs to the Special Issue Advances in the Social Sciences)
View Full-Text   |   Download PDF [510 KB, 13 May 2013; original version 7 May 2013]   |  

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.
Keywords: generalized linear models; interaction effects; first differences; personal vote-earning attributes generalized linear models; interaction effects; first differences; personal vote-earning attributes
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Tsai, T.-H.; Gill, J. Interactions in Generalized Linear Models: Theoretical Issues and an Application to Personal Vote-Earning Attributes. Soc. Sci. 2013, 2, 91-113.

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