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Inference from Randomized (Factorial) Experiments
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DOI：10.1214/16-STS600.png)
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Abstract
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This is a contribution to the discussion of the interesting paper by Ding [Statist. Sci. 32 (2017) 331-345], which contrasts approaches attributed to Neyman and Fisher. I believe that Fisher's usual assumption was unittreatment 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.
Keywords:
Factorial design
marginality
randomisation
unit-treatment additivity
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