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Related Experiment Videos

Challenges in interpreting results from 'multiple regression' when there is interaction between covariates.

Ian Shrier1,2, Annabelle Redelmeier3, Mireille E Schnitzer4

  • 1Epidemiology, Lady Davis Institute for Medical Research, Montreal, Québec, Canada ian.shrier@mcgill.ca.

BMJ Evidence-Based Medicine
|August 24, 2019
PubMed
Summary

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Interpreting regression results requires caution. Adjusted effects in studies are often misinterpreted as population average causal effects (PACEs) when interactions are present, necessitating correct calculation methods.

Area of Science:

  • Biostatistics
  • Epidemiology
  • Medical Research Methodology

Background:

  • Accurate interpretation of research findings is crucial for evidence-based medicine.
  • Adjusted effect estimates from regression analyses are commonly reported in observational studies and randomized trials.
  • These estimates are often misinterpreted as population average causal effects (PACEs).

Purpose of the Study:

  • To demonstrate that the standard interpretation of adjusted regression effects as PACEs is incorrect when treatment interactions exist.
  • To present correct methods for calculating PACEs from regression analyses.
  • To discuss alternative causal inference methods and the importance of considering interaction terms.

Main Methods:

  • Review of statistical interpretation of regression models in causal inference.
Keywords:
conditional estimatesinverse probability treatment weightingmarginal estimatesregression

Related Experiment Videos

  • Derivation of correct methods for estimating PACEs in the presence of interactions.
  • Discussion of alternative causal inference techniques.
  • Main Results:

    • The common interpretation of adjusted regression effects as PACEs is flawed when interactions between the exposure and other variables are present.
    • Correct methods for calculating PACEs from regression models are provided.
    • The significance of interaction terms in regression analyses is highlighted.

    Conclusions:

    • Researchers must use appropriate methods to calculate population average causal effects (PACEs) when interaction terms are present in regression models.
    • Excluding interaction terms based solely on p-values can lead to incorrect causal effect estimates.
    • Correct causal inference methodology is essential for advancing evidence-based medicine.