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

6. Statistical Model – Fixed Effects

7. Analysis of Variance

8. Tests for Main Effects and Interactions