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Date Modified
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2024-07-26
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Date Issued
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2024-07-26
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To Interact or not to Interact: Pros and Cons of Including Interactions in Linear Regression Models
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- dcterms:createdlanguage:en
Date created
language:enDate Created
2024-07-26
- dcterms:dateSubmittedlanguage:en
Date Submitted
language:enDate submitted
2024-07-26
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Description
Interaction effects are very common in the psychological literature. However, interaction effects
are typically very small and often fail to replicate. In this study, we conducted a simulation
comparing the generalizability and estimability of two linear regression models: one correctly
specified to account for interaction effects and one misspecified including simple effects only. We
manipulated noise levels, predictor variable correlations, and different sets of regression weights,
resulting in 9216 different conditions. From each dataset we drew 1000 samples of N = 25, 50,
100, 250, 500 and 1000 resulting in a total of 55.296.000 analyses for each model. Our results
show that misspecification can drastically bias regression estimates, sometimes leading to zero or
reversed simple effects. Furthermore, we found that when models are generalized to the entire
population, the difference between the explained variance in the sample and in the population is
often smaller for the misspecified model than for the correctly specified model. However, the
comparison between models shows that the correctly specified model explains the data at
population level better overall. These results emphasize the importance of theory in modeling
choices and show that it is important to provide a rationale for why interactions are included or
excluded in an analysis.
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Identifier
https://doi.org/10.31234/osf.io/6utws
https://osf.io/6utws
- dcterms:modifiedlanguage:en
Date Modified
language:enDate modified
2024-10-25
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Title
To Interact or not to Interact: Pros and Cons of Including Interactions in Linear Regression Models
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Tag
Theory
Statistical Interactions
Generalizability
Moderation
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Creator
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Identifier
https://orcid.org/0009-0009-6131-7267
https://osf.io/w2vq6
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Aljoscha Rimpler
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http://scholar.google.com/citations?user=p3pZIdQAAAAJ&hl=en
http://www.donvanravenzwaaij.com
https://osf.io/kndeq
https://orcid.org/0000-0002-5030-4091
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Don van Ravenzwaaij
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Henk Kiers
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https://psyarxiv.com/
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PsyArXiv
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CC-By Attribution 4.0 International
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Identifier
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Statistical Methods
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Preprint
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Center for Open Science
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Don van Ravenzwaaij
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