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  The robustness of anova with respect to interactions in some orthogonal block designs
 
 
Titel: The robustness of anova with respect to interactions in some orthogonal block designs
Auteur: Zhang, Zhiyi
Verschenen in: Communications in statistics
Paginering: Jaargang 21 (1992) nr. 1 pagina's 233-240
Jaar: 1992
Inhoud: Consider a K-random factor design. Each random blocking factor,fk, has nk, levels[image omitted]  and an allocation of the T fixed treatments under the consideration is applied to the [image omitted]  experimental plots. In this paper the spectral representation of the covariance structure of such a design is given. Furthermore, the covariance structure under a mixed linear model which includes interactions between blocking factors and treatments is examined. As a result, we find that to preserve the covariance structure, not only does one need to impose conditions on the interactions but also to apply the treatments in a restricted fashion. We give a sufficient condition under which the structure of covariance of the model without interactions remains unchanged when interactions are included. That is to say that ANOVA for such designs based on the model without interactions remains valid when interactions actually do exist.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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