Diets in Exercise 13-15. Use α = 0.01.

(a) Apply Fisher€™s LSD method with α = 0.05 and determine which levels of the factor differ.

(b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fisher€™s LSD method.

Exercise 13-15

In the book Analysis of Longitudinal Data, 2nd ed. (2002, Oxford University Press), by Diggle, Heagerty, Liang, and Zeger, the authors analyzed the effects of three diets on the protein content of cow€™s milk. The data shown here were collected after one week and include 25 cows on the barley diet and 27 cows each on the other two diets:

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Protein Content of Cow's Milk 3.66 4.36 4.17 4.34 4.32 4.07 4.59 Diet Barley 3.63 Barley + lupins 3.38 3.69 4.2 3.24 4.4 3.56 3.67 3.4 3.75 3.9 3.52 3.98 4.02 4.02 4.2 4.17 4.15 3.51 4.12 3.8 4.2 4.08 3.34 Lupins 3.04 3.98 3.13 4.32 4.2 4.1 3.25 3.31 3.73 3.84 4.18 Diet (continued) Barley Barley + lupins 4.02 Lupins 3.62 4.11 3.66 4.23 3.27 3.82 4.47 3.93 3.27 3.92 3.81 4.44 3.3 4.37 3.53 3.79 3.18 3.27 3.97 3.31 4.12 3.78 4 2.69 3.88 3.5 4.13 3.21 3.9 3.5 4.06 3.67 4.27 4.1 4.3 4