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Estimating The Subject By Treatment Interaction In Non-Replicated Crossover Diet Studies, Matthew Kramer, Shirley C. Chen, Sarah K. Gebauer, David J. Baer

Conference on Applied Statistics in Agriculture

Researchers in human nutrition commonly refer to the ‘consistent’ diet effect (i.e. the main effect of diet) and an ‘inconsistent’ diet effect (i.e. a subject by diet interaction). However, due to the non-replicated designs of most studies, one can only estimate the first part using ANOVA; the latter (interaction) is confounded with the residual noise. In many diet studies, it appears that subjects do respond differently to the same diet, so the subject by diet interaction may be large. In a search of over 40,000 published human nutrition studies, most using a crossover design, we found that in none was …