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Interaction

D. R. Cox
International Statistical Review / Revue Internationale de Statistique
Vol. 52, No. 1 (Apr., 1984), pp. 1-24
DOI: 10.2307/1403235
Stable URL: http://www.jstor.org/stable/1403235
Page Count: 24
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Interaction
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Abstract

A broad review is given of various aspects of interaction. After a brief discussion of the relation between absence of interaction and constancy of variance, the main part of the paper considers interaction in the usual sense, connected with the structure of an expected value in multiply classified data. Interactions are first classified depending on the character of the factors involved. Techniques for detecting interactions are reviewed, including aspects of model formulation, especially for unbalanced data. Special methods for interpreting interactions are described. Finally, the relation between interactions and error estimation is considered and some short remarks made on extensions to binary and other essentially nonnormal models. /// Le rôle en la statistique de l'action réciproque (interaction) est discuté. On classifie les interactions en fonction de la nature des facteurs qui sont engagés. Les tests pour l'interaction sont passés en revue. Les méthodes d'interpretation d'une interaction sont discutés et la connexion avec l'estimation d'erreur est décrite. Enfin problèmes non resolus sont catalogués.

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