Evidence and experimental design in sequential trials

Philosophy of Science 76 (5):637-649 (2009)
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Abstract

To what extent does the design of statistical experiments, in particular sequential trials, affect their interpretation? Should postexperimental decisions depend on the observed data alone, or should they account for the used stopping rule? Bayesians and frequentists are apparently deadlocked in their controversy over these questions. To resolve the deadlock, I suggest a three‐part strategy that combines conceptual, methodological, and decision‐theoretic arguments. This approach maintains the pre‐experimental relevance of experimental design and stopping rules but vindicates their evidential, postexperimental irrelevance. †To contact the author, please write to: Tilburg Center for Logic and Philosophy of Science, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands; e‐mail: [email protected]

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Jan Sprenger
University of Turin

Citations of this work

Counting experiments.Jonathan Livengood - 2019 - Philosophical Studies 176 (1):175-195.
Bias and Conditioning in Sequential medical trials.Cecilia Nardini & Jan Sprenger - 2013 - Philosophy of Science 80 (5):1053-1064.
The Stopping Rule Principle and Confirmational Reliability.Samuel C. Fletcher - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 55 (1):1-28.
Monitoring in clinical trials: benefit or bias?Cecilia Nardini - 2013 - Theoretical Medicine and Bioethics 34 (4):259-274.

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References found in this work

Error and the growth of experimental knowledge.Deborah Mayo - 1996 - International Studies in the Philosophy of Science 15 (1):455-459.
Error and the Growth of Experimental Knowledge.Deborah Mayo - 1997 - British Journal for the Philosophy of Science 48 (3):455-459.
Severe testing as a basic concept in a neyman–pearson philosophy of induction.Deborah G. Mayo & Aris Spanos - 2006 - British Journal for the Philosophy of Science 57 (2):323-357.
On the Foundations of Statistical Inference.Allan Birnbaum - 1962 - Journal of the American Statistical Association 57 (298):269--306.

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