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**Inference from randomized (factorial) experiments.**
*(English)*
Zbl 1442.62010

Summary: This is a contribution to the discussion of the interesting paper by P. Ding [Stat. Sci. 32, No. 3, 331–345 (2017; Zbl 1442.62014)], which contrasts approaches attributed to Neyman and Fisher. I believe that Fisher’s usual assumption was unit-treatment additivity, rather than the “sharp null hypothesis” attributed to him. Fisher also developed the notion of interaction in factorial experiments. His explanation leads directly to the concept of marginality, which is essential for the interpretation of data from any factorial experiment.

### MSC:

62A01 | Foundations and philosophical topics in statistics |

62G10 | Nonparametric hypothesis testing |

62G20 | Asymptotic properties of nonparametric inference |

62F03 | Parametric hypothesis testing |

62E20 | Asymptotic distribution theory in statistics |

62K15 | Factorial statistical designs |

### Citations:

Zbl 1442.62014### References:

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