Hypothesis Testing and Multiplicative Interaction Terms

@article{Braumoeller2004HypothesisTA,
  title={Hypothesis Testing and Multiplicative Interaction Terms},
  author={Bear F. Braumoeller},
  journal={International Organization},
  year={2004},
  volume={58},
  pages={807 - 820}
}
When a statistical equation incorporates a multiplicative term in an attempt to model interaction effects, the statistical significance of the lower-order coefficients is largely useless for the typical purposes of hypothesis testing. This fact remains largely unappreciated in political science, however. This brief article explains this point, provides examples, and offers some suggestions for more meaningful interpretation.I am grateful to Tim McDaniel, Anne Sartori, and Beth Simmons for… 

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References

SHOWING 1-9 OF 9 REFERENCES

Testing for Interaction in Multiple Regression

  • P. Allison
  • Mathematics
    American Journal of Sociology
  • 1977
Contrary to a recent claim, the inclusion of a product term in a multiple regression is a legitimate way to test for interaction. The unstandardized coefficient and the t-test for the product term

In Defense of Multiplicative Terms In Multiple Regression Equations

Though the inclusion of multiplicative terms in multiple regression equations is often prescribed as a method for assessing interaction in multivariate relationships, the technique has been

Beyond linearity by default: Generalized additive models

Social scientists almost always use statistical models positing the dependent variable as a global, linear function of X, despite suspicions that the social and political world is not so simple, or

Causal Complexity and the Study of Politics

Theories that posit complex causation, or multiple causal paths, pervade the study of politics but have yet to find accurate statistical expression. To remedy this situation I derive new econometric

A Guide to Econometrics

The fourth edition of "A Guide to Econometrics" provides an overview of the subject and an intuitive feel for its concepts and techniques without the notation and technical detail often characteristic of econometric textbooks.

Do Democratic Institutions Constrain or Inform? Contrasting Two Institutional Perspectives on Democracy and War

How do domestic political institutions affect the way states interact in international crises? In the last decade we have witnessed an explosion of interest in this question, thanks largely to the

Democratic Transitions, Institutional Strength, and War

The relationship between democratization and war has recently sparked a lively debate. We find that transitions from autocracy that become stalled prior to the establishment of coherent democratic

Trade, Democracy, and the Size of the Public Sector: The Political Underpinnings of Openness

Politics remains prominently absent in the literature showing that higher levels of trade integration lead to a larger public sector. As openness increases, the state, acting as a social planner,

A theory of production