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Multi-Factor Studies

Discover the intricacies of experiments with 3 or more factors, including Main Effects, 2-Factor Interactions, and Higher-Order Interactions in the context of 3-Factor ANOVA models. Learn to screen for important factors effectively with limited observations.

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Multi-Factor Studies

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  1. Multi-Factor Studies KNNL – Chapter 24

  2. Experiments with 3 or More Factors • Many studies have 3 or more factors, sometimes many more • Main Effects and 2-Factor Interactions are same as in 2-Way ANOVA • Higher order interactions occur when the 2-factor interactions appear differently at different levels of other factor(s) • For 3 factor models, we will have factors A, B, and C, with a, b, and c levels respectively. • In many experiments, with large number of factors, the goal is to screen for important factors with few observations

  3. Notation – 3- Factor ANOVA

  4. Mean Total Flavonoids by Grape Color, Storage Temp & Time

  5. Statistical Model – Fixed Effects

  6. Analysis of Variance

  7. Tests for Main Effects and Interactions

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