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Published in: Prevention Science 8/2021

01-11-2021

A Unification of Mediator, Confounder, and Collider Effects

Authors: David P. MacKinnon, Sophia J. Lamp

Published in: Prevention Science | Issue 8/2021

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Abstract

Third-variable effects, such as mediation and confounding, are core concepts in prevention science, providing the theoretical basis for investigating how risk factors affect behavior and how interventions change behavior. Another third variable, the collider, is not commonly considered but is also important for prevention science. This paper describes the importance of the collider effect as well as the similarities and differences between these three third-variable effects. The single mediator model in which the third variable (T) is a mediator of the independent variable (X) to dependent variable (Y) effect is used to demonstrate how to estimate each third-variable effect. We provide difference in coefficients and product of coefficients estimators of the effects and demonstrate how to calculate these values with real data. Suppression effects are defined for each type of third-variable effect. Future directions and implications of these results are discussed.
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Footnotes
1
This paper describes adjustment as including an additional predictor in a regression model. Adjustment comes in other forms and names including conditioning on a variable, controlling for a variable, stratifying by a variable, and selection into a study by a variable (see Elwert & Winship, 2014 and Morgan & Winship, 2015 for more on these topics).
 
Literature
go back to reference Asendorpf, J. B. (2012). Bias due to controlling a collider: A potentially important issue for personality research. European Journal of Personality, 26, 391–392.CrossRef Asendorpf, J. B. (2012). Bias due to controlling a collider: A potentially important issue for personality research. European Journal of Personality, 26, 391–392.CrossRef
go back to reference Botvin, G. J., Griffin, K. W., Diaz, T., Miller, N., & Ifill-Williams, M. (1999). Smoking initiation and escalation in early adolescent girls: One-year follow-up of a school-based prevention intervention for minority youth. Journal of the American Medical Women’s Association., 54, 139–143.PubMed Botvin, G. J., Griffin, K. W., Diaz, T., Miller, N., & Ifill-Williams, M. (1999). Smoking initiation and escalation in early adolescent girls: One-year follow-up of a school-based prevention intervention for minority youth. Journal of the American Medical Women’s Association., 54, 139–143.PubMed
go back to reference Breslow, N. E., Day, N. E., & Heseltine, E. (1980). Statistical methods in cancer research (Vol. 1, pp. 248–279). Lyon: International Agency for Research on Cancer. Breslow, N. E., Day, N. E., & Heseltine, E. (1980). Statistical methods in cancer research (Vol. 1, pp. 248–279). Lyon: International Agency for Research on Cancer.
go back to reference Conger, A. J. (1974). A revised definition for suppressor variables: A guide to their identification and interpretation. Educational and Psychological Measurement, 34, 35–46.CrossRef Conger, A. J. (1974). A revised definition for suppressor variables: A guide to their identification and interpretation. Educational and Psychological Measurement, 34, 35–46.CrossRef
go back to reference Cresswell, J. W., & Clark, V. L. P. (2017). Designing and conducting mixed methods research. Sage. Cresswell, J. W., & Clark, V. L. P. (2017). Designing and conducting mixed methods research. Sage.
go back to reference King, G. (2015). Cover endorsement in Morgan, S. L., & Winship, C. (2015). Counterfactuals and Causal Inference. University Press. King, G. (2015). Cover endorsement in Morgan, S. L., & Winship, C. (2015). Counterfactuals and Causal Inference. University Press.
go back to reference MacKinnon, D. P. (2008). Introduction to statistical mediation analysis. Lawrence Erlbaum. MacKinnon, D. P. (2008). Introduction to statistical mediation analysis. Lawrence Erlbaum.
go back to reference MacKinnon, D. P., Johnson, C. A., Pentz, M. A., Dwyer, J. H., Hansen, W. B., Flay, B. R., & Wang, E.Y.I. (1991). Mediating mechanisms in a school-based drug prevention program: First-year effects of the Midwestern Prevention Project. Health Psychology, 10, 164–172.CrossRefPubMed MacKinnon, D. P., Johnson, C. A., Pentz, M. A., Dwyer, J. H., Hansen, W. B., Flay, B. R., & Wang, E.Y.I. (1991). Mediating mechanisms in a school-based drug prevention program: First-year effects of the Midwestern Prevention Project. Health Psychology, 10, 164–172.CrossRefPubMed
go back to reference Morgan, S. L., & Winship, C. (2015). Counterfactuals and causal inference (2nd Edition). New York: NY: Cambridge, MA. Morgan, S. L., & Winship, C. (2015). Counterfactuals and causal inference (2nd Edition). New York: NY: Cambridge, MA.
go back to reference Muniz, F. B., & MacKinnon, D. P. (2021). Four tests for statistical suppression. Manuscript submitted for publication. Muniz, F. B., & MacKinnon, D. P. (2021). Four tests for statistical suppression. Manuscript submitted for publication.
go back to reference Musci, R. J., & Stuart, E. (2020). Ensuring causal, not casual inference. Prevention Science, 3, 452–456. Musci, R. J., & Stuart, E. (2020). Ensuring causal, not casual inference. Prevention Science, 3, 452–456.
go back to reference Richardson, T. G., Davey Smith, G., & Munafo, M. R. (2019). Conditioning on a collider may induce spurious associations: Do the results of Gale et al., (2017) support a health-protective effect of neuroticism in population subgroups? Psychological Science, 1–4. https://doi.org/10.1177/0956797618774532 Richardson, T. G., Davey Smith, G., & Munafo, M. R. (2019). Conditioning on a collider may induce spurious associations: Do the results of Gale et al., (2017) support a health-protective effect of neuroticism in population subgroups? Psychological Science, 1–4. https://​doi.​org/​10.​1177/​0956797618774532​
go back to reference VanderWeele, T. (2015). Explanation in causal inference: Methods for mediation and interaction. Oxford University Press. VanderWeele, T. (2015). Explanation in causal inference: Methods for mediation and interaction. Oxford University Press.
Metadata
Title
A Unification of Mediator, Confounder, and Collider Effects
Authors
David P. MacKinnon
Sophia J. Lamp
Publication date
01-11-2021
Publisher
Springer US
Published in
Prevention Science / Issue 8/2021
Print ISSN: 1389-4986
Electronic ISSN: 1573-6695
DOI
https://doi.org/10.1007/s11121-021-01268-x

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