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 | ||||||
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| 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 |
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| 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 |
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| Date: | 2 February 2023 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/21793 |
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