Exercise 7.8 Analyze the following three-way ANOVA: The treatments (amount of flour, brand of flour, and brand of shortening) are indicated by the subscripts i, j, and k, respectively. The dependent variable is a “chewiness” score for chocolate chip cookies. The amounts of flour correspond to quantitative factors, i 1 2 3 xi 3.2 4.4 6.8 The data are:

yi jks yi jks j k i 1 2 3 j k i 1 2 3 1 1 1.620 3.228 6.615 2 1 2.282 5.080 8.240 1.342 5.762 8.245 2.068 4.741 6.330 8.077 3.545 4.522 9.453 7.727 1 2 2.669 6.219 11.357 2 2 4.233 4.647 7.809 2.687 8.207 4.664 4.999 8.942 2.155 3.002 5.939 4.000 4.506 6.385 3.696