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The Stopping Rule Principle and Confirmational Reliability

Fletcher, Samuel C. (2023) The Stopping Rule Principle and Confirmational Reliability. [Preprint]

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Abstract

The stopping rule for a sequential experiment is the rule or procedure for determining when that experiment should end. Accordingly, the stopping rule principle (SRP) states that the evidential relationship between the final data from a sequential experiment and a hypothesis under consideration does not depend on the stopping rule: the same data should yield the same evidence, regardless of which stopping rule was used. I clarify and provide a novel defense of two interpretations of the main argument against the SRP, the foregone conclusions argument. According to the first, the SRP allows for highly confirmationally unreliable experiments, which concept I make precise, to confirm highly. According to the second, it entails the evidential equivalence of experiments differing significantly in their confirmational reliability. I rebut several attempts to deflate or deflect the foregone conclusion argument, drawing connections with replication in science and the likelihood principle.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Fletcher, Samuel C.scfletch@umn.edu0000-0002-9061-8976
Additional Information: Author URL contains link to self-archived version.
Keywords: Stopping rules; Replication; Reproducability; Likelihood Principle; Statistical evidence; Reliability; Confirmation
Subjects: General Issues > Confirmation/Induction
General Issues > Evidence
Specific Sciences > Probability/Statistics
Depositing User: Prof. Samuel C. Fletcher
Date Deposited: 24 Feb 2023 01:58
Last Modified: 24 Feb 2023 01:58
Item ID: 21793
Subjects: General Issues > Confirmation/Induction
General Issues > Evidence
Specific Sciences > Probability/Statistics
Date: 2 February 2023
URI: https://philsci-archive.pitt.edu/id/eprint/21793

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