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Testing for Interaction in Multiple Regression
Abstract
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 are unaffected by the addition of arbitrary constants to the variables in the model. Certain other statistics are affected by this change, however, indicating that some hypotheses relating to interaction are not meaningfully testable unless variables are measured on ratio scales.
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Citations
Cited by
Understanding Interaction Models: Improving Empirical Analyses
Brambor, T., Clark, W. R., & Golder, M. (2006) · Political Analysis · doi:10.1093/pan/mpi014 · Cited by 6,223
Statistical difficulties of detecting interactions and moderator effects.
McClelland, G. H., & Judd, C. M. (1993) · Psychological Bulletin · doi:10.1037/0033-2909.114.2.376 · Cited by 3,270
The Concept of Fit in Strategy Research: Toward Verbal and Statistical Correspondence
Venkatraman, N. (1989) · The Academy of Management Review · doi:10.2307/258177 · Cited by 2,367
A Tale of Two Cultures: Contrasting Quantitative and Qualitative Research
Mahoney, J., & Goertz, G. (2006) · Political Analysis · doi:10.1093/pan/mpj017 · Cited by 904
Hypothesis Testing and Multiplicative Interaction Terms
Braumoeller, B. F. (2004) · International Organization · doi:10.1017/s0020818304040251 · Cited by 816
Metadata
- Authors
- Allison, P. D.
- Venue
- American Journal of Sociology
- Publisher
- University of Chicago Press
- Published
- 1977-07
- Volume
- 83
- Issue
- 1
- Pages
- 144-153
- ISSN
- 0002-9602 (ISSN-L)
- 1537-5390
- OpenAlex
- W2063911798
- Cited by
- 359
- References
- 0
- FWCI
- 10.50
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Testing for Interaction in Multiple Regression. https://app.cochat.ai/papers/10.1086/226510
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- Allison, P. D. (1977). Testing for Interaction in Multiple Regression. American Journal of Sociology. https://doi.org/10.1086/226510
Data sources
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
