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Lecture 27 Two-Way ANOVA: Interaction

27-1 Lecture 27 Two-Way anova : Interaction STAT 512 Spring 2011 Background Reading KNNL: chapter 19 27-2 Topic Overview Review: Two-Way anova Models Basic Strategy for Analysis Studying Interactions 27-3 Two-Way anova Factor Effects Model ()ijki jijkijY = + + + + where ()2~ 0,ijkN are independent and ()0iiij = == SAS uses different constraints: 0a =, 0b =, and ()0ij = for i = a or j = b. 27-4 Constraints / Comparisons Under the usual constraints everything gets compared to the GRAND MEAN Under SAS constraints everything gets compared to the mean for the last level of each factor. In either case, differences are identified and contrasts can be used with the results being exactly the same.

Two-Way ANOVA: Interaction STAT 512 Spring 2011 Background Reading KNNL: Chapter 19 . 27-2 Topic Overview • Review: Two-way ANOVA Models • Basic Strategy for Analysis • Studying Interactions . 27-3 Two-way ANOVA ... • Three temperatures (also experimental) – 15,

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