Stopping rules as experimental design

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Abstract

A “stopping rule” in a sequential experiment is a rule or procedure for deciding when that experiment should end. Accordingly, the “stopping rule principle” (SRP) states that, in a sequential experiment, the evidential relationship between the final data and an hypothesis under consideration does not depend on the experiment’s stopping rule: the same data should yield the same evidence, regardless of which stopping rule was used. In this essay, I reconstruct and rebut five independent arguments for the SRP. Reminding oneself that the stopping rule is a part of an experiment’s design and is no more mysterious than many other design aspects helps elucidate why some of these arguments for the SRP are unsound.

Original languageEnglish (US)
Article number29
JournalEuropean Journal for Philosophy of Science
Volume9
Issue number2
DOIs
StatePublished - May 1 2019

Bibliographical note

Funding Information:
Thanks to Greg Gandenberger, Kasey Genin, Jonathan Livengood, Dan Malinksy, Conor Mayo-Wilson, Jan Sprenger, and an anonymous referee for comments on a previous version, and audiences at Minnesota, Munich, Bologna (SILFS2017), Edinburgh (BSPS2017), and Exeter (EPSA2017) for their insightful comments. Part of this work was completed with the support of a European Commission Marie Curie Fellowship (PIIF-GA-2013-628533).

Funding Information:
Acknowledgements Thanks to Greg Gandenberger, Kasey Genin, Jonathan Livengood, Dan Malinksy, Conor Mayo-Wilson, Jan Sprenger, and an anonymous referee for comments on a previous version, and audiences at Minnesota, Munich, Bologna (SILFS2017), Edinburgh (BSPS2017), and Exeter (EPSA2017) for their insightful comments. Part of this work was completed with the support of a European Commission Marie Curie Fellowship (PIIF-GA-2013-628533).

Keywords

  • Experimental design
  • Likelihood principle
  • Optional stopping
  • Statistical evidence
  • Statistical testing
  • Stopping rules

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