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Erroneous analyses of interactions in neuroscience: a problem of significance
Abstract
In theory, a comparison of two experimental effects requires a statistical test on their difference. In practice, this comparison is often based on an incorrect procedure involving two separate tests in which researchers conclude that effects differ when one effect is significant (P < 0.05) but the other is not (P > 0.05). We reviewed 513 behavioral, systems and cognitive neuroscience articles in five top-ranking journals (Science, Nature, Nature Neuroscience, Neuron and The Journal of Neuroscience) and found that 78 used the correct procedure and 79 used the incorrect procedure. An additional analysis suggests that incorrect analyses of interactions are even more common in cellular and molecular neuroscience. We discuss scenarios in which the erroneous procedure is particularly beguiling.
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“Use of multiple analyses on the same data set and selective reports of statistical methods used, or insufficient correction for multiple comparisons, can cause inflation in effects (29).”
From Statistical and Methodological Considerations for the Interpretation of Intranasal Oxytocin Studies (2016) · cites this paper as [29]
In the citing paper
“priming and awareness are typically tested by comparing two separate tests”
From Evidence for unconscious priming using a Bayesian single-subject approach (2026) · cites this paper as Nieuwenhuis et al. 2011
In the citing paper
“However, this approach is fundamentally flawed (Nieuwenhuis et al. 2011, Meyen et al. 2022).”
From Evidence for unconscious priming using a Bayesian single-subject approach (2026) · cites this paper as Nieuwenhuis et al. 2011
In the citing paper
“In this approach, the comparison of two experimental effects is performed by executing two separate t-tests and independently establishing significance for each. When one turns out to be significant and the other is not, one concludes that they are different (Nieuwenhuis et al. 2011).”
From Evidence for unconscious priming using a Bayesian single-subject approach (2026) · cites this paper as Nieuwenhuis et al. 2011
In the citing paper
“The combination of two Bayesian t-tests (one to determine the presence or absence of awareness and another to determine the presence of a priming effect) essentially suffers from the same problem as executing two frequentist t-tests: the comparison of two experimental effects requires a statistical test on their difference”
From Evidence for unconscious priming using a Bayesian single-subject approach (2026) · cites this paper as Nieuwenhuis et al. 2011
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Metadata
- Authors
- Nieuwenhuis, S., Forstmann, B. U., & Wagenmakers, E.-J.
- Affiliations
- Leiden University (NL)
- University of Amsterdam (NL)
- Corresponding author
- Nieuwenhuis, Sander
- Venue
- Nature Neuroscience
- Published
- 2011-08-26
- Volume
- 14
- Issue
- 9
- Pages
- 1105-1107
- ISSN
- 1097-6256 (ISSN-L)
- 1546-1726
- OpenAlex
- W2165810797
- Semantic Scholar
- 6ea9a180f01c0c6a4b559511cf362bbfcfd73b87
- Cited by
- 864
- References
- 8
- Citations by year
- 2026: 51 · 2025: 32 · 2024: 37 · 2023: 60 · 2022: 52 · 2021: 83 · 2020: 61 · 2019: 63 · 2018: 61 · 2017: 57 · 2016: 57 · 2015: 47 · 2014: 69 · 2013: 57 · 2012: 65
- FWCI
- 68.19
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature Neuroscience (publishedVersion)
- PubMed (publishedVersion)
- UvA-DARE (University of Amsterdam) (publishedVersion)
- UvA-DARE (University of Amsterdam) (submittedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Psychology Research and Bibliometrics
- Physical Sciences › Mathematics › Statistics and Probability › Statistics Education and Methodologies
- Keywords
- interaction effects, effect size comparison, significance testing, statistical errors, two-sample t-test, neuroscience literature
- MeSH terms
- Animals, Humans, Neurons, Neurosciences, Statistics as Topic, Reproducibility of Results, Biomedical Research
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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