Statistical Inference as Severe Testing: How to Get Beyond the Statistics Wars
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Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.
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Flagged first, then by citations
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Moving to a World Beyond “ <i>p</i> < 0.05”
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The Generalizability CrisisPreprint
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When and How to Deviate From a Preregistration
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Hyperparameter Tuning for Machine and Deep Learning with R
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Exploratory hypothesis tests can be more compelling than confirmatory hypothesis tests
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The benefits of preregistration and Registered Reports
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The roles, challenges, and merits of the p value
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Errors in Statistical Inference Under Model Misspecification: Evidence, Hypothesis Testing, and AIC
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Does preregistration improve the credibility of research findings?
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“A test is severe if it has a low probability of confirming a hypothesis when that hypothesis is false (Mayo, 1996, 2018).”
BackgroundMethodThe replication crisis, scientific revolutions, and linguistics
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The epistemological foundations of data science: a critical analysis
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Selective Inference: The Silent Killer of Replicability
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Explaining AI through mechanistic interpretability
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False confidence, non-additive beliefs, and valid statistical inference
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Replication crisis or an opportunity to improve scientific production?
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On The Philosophy of Unsupervised Learning
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Psychology’s Theory Crisis, and why formal modelling cannot solve it
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Time to Assess Bias in Machine Learning Models for Credit Decisions
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Self-citationRobust Discovery of Regression Models
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Philosophy of Probability and Statistical Modelling
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Reliability in Machine Learning
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Improving practices and inferences in developmental cognitive neuroscience
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Competing narratives in AI ethics: a defense of sociotechnical pragmatism
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Is Ockham’s razor losing its edge? New perspectives on the principle of model parsimony
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What can mathematical modelling contribute to a sociology of quantification?
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Basic statistical considerations for physiology: The journal Temperature toolbox
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The epistemic and pragmatic function of dichotomous claims based on statistical hypothesis tests
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Understanding Replication in a Way That Is True to Science
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The economic inequality as normative information model (EINIM)
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Falsificationist Treatment of Auxiliary Hypotheses in Social and Behavioral Sciences
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Potentially harmful therapies: A meta-scientific review of evidential value.
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Pay No Attention to the Model Behind the Curtain
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Thinking About Sum Scores Yet Again, Maybe the Last Time, We Don’t Know, Oh No . . .: A Comment on
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Means to valuable exploration: I. The blending of confirmation and exploration and how to resolve it
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Scientific Models and Decision Making
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Spotting When Algorithms Are Wrong
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A Manifesto for More Productive Psychological Games Research
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Type I Error Rates are Not Usually Inflated
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Replication value as a function of citation impact and sample size
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Beyond Neyman–Pearson: E-values enable hypothesis testing with a data-driven alpha
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The epistemic revolution of AI: reconfiguring the foundations of scientific knowledge
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Assessing and Improving Robustness of Psychological Research Findings in Four Steps
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Bayesian evaluation of behavior change interventions: a brief introduction and a practical example
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Statistical Guidance to Authors at Top-Ranked Journals across Scientific Disciplines
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Trustworthiness of Statistical Inference
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The Challenge of Quantification: An Interdisciplinary Reading
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Self-citation
- Authors
- Mayo, D. G.
- Affiliations
- Virginia Tech (US)
- Corresponding author
- Mayo, Deborah G.
- ORCID
- Mayo, Deborah G.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2018-09-14
- OpenAlex
- W3171064310
- Cited by
- 376
- References
- 325
- Citations by year
- 2026: 32 · 2025: 57 · 2024: 35 · 2023: 42 · 2022: 60 · 2021: 72 · 2020: 43 · 2019: 28 · 2018: 5 · 2017: 1
- FWCI
- 54.96
- Type
- book
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Cambridge University Press eBooks (publishedVersion)
- Topics
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy and History of Science
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy, Science, and History
- Social Sciences › Arts and Humanities › Philosophy › Literary, Cultural, Historical Analysis
- Keywords
- severe testing, statistical inference, replication crisis, degrees of belief, cherry-picking, selective reporting, inductive reasoning, falsification, pseudoscience, science reform
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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