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Testing for Interaction in Binary Logit and Probit Models: Is a Product Term Essential?

American journal of political science, 2010-01, Vol.54 (1), p.248-266 [Peer Reviewed Journal]

Copyright 2010 Midwest Political Science Association ;2010, Midwest Political Science Association ;2010 Midwest Political Science Association ;ISSN: 0092-5853 ;EISSN: 1540-5907 ;DOI: 10.1111/j.1540-5907.2009.00429.x ;CODEN: AJPLB4

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  • Title:
    Testing for Interaction in Binary Logit and Probit Models: Is a Product Term Essential?
  • Author: Berry, William D. ; DeMeritt, Jacqueline H. R. ; Esarey, Justin
  • Subjects: AJPS Workshops ; Coefficients ; Influence ; Mathematical independent variables ; Modeling ; Political science ; Political Scientists ; Probabilities ; Social interaction ; Statistical significance ; Variable coefficients ; Variables ; Voter registration ; Voter turnout ; Voting ; War
  • Is Part Of: American journal of political science, 2010-01, Vol.54 (1), p.248-266
  • Description: Political scientists presenting binary dependent variable (BDV) models often hypothesize that variables interact to influence the probability of an event, Pr(Y). The current typical approach to testing such hypotheses is (1) estimate a logit or probit model with a product term, (2) test the hypothesis by determining whether the coefficient for this term is statistically significant, and (3) characterize the nature of any interaction detected by describing how the estimated effect of one variable on Pr(Y) varies with the value of another. This approach makes a statistically significant product term necessary to support the interaction hypothesis. We show that a statistically significant product term is neither necessary nor sufficient for variables to interact meaningfully in influencing Pr(Y). Indeed, even when a logit or probit model contains no product term, the effect of one variable on Pr(Y) may be strongly related to the value of another. We present a strategy for testing for interaction in a BDV model, including guidance on when to include a product term.
  • Publisher: Malden, USA: Blackwell Publishing Inc
  • Language: English
  • Identifier: ISSN: 0092-5853
    EISSN: 1540-5907
    DOI: 10.1111/j.1540-5907.2009.00429.x
    CODEN: AJPLB4
  • Source: Alma/SFX Local Collection
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