“Repeated sampling from the same population?” A critique of Neyman and Pearson’s responses to Fisher

  title={“Repeated sampling from the same population?” A critique of Neyman and Pearson’s responses to Fisher},
  author={Mark Rubin},
  journal={European Journal for Philosophy of Science},
  • Mark Rubin
  • Published 1 September 2020
  • Psychology
  • European Journal for Philosophy of Science
Fisher ( 1945a , 1945b , 1955 , 1956 , 1960 ) criticised the Neyman-Pearson approach to hypothesis testing by arguing that it relies on the assumption of “repeated sampling from the same population.” The present article considers the responses to this criticism provided by Pearson ( 1947 ) and Neyman ( 1977 ). Pearson interpreted alpha levels in relation to imaginary replications of the original test. This interpretation is appropriate when test users are sure that their replications will be… 
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