In Exercises 5.29 and 5.31 we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets.

Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary statistics are shown below.

Data From Exercise 5.29

Data From Exercise 5.31

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Df Sum Sq Mean Sq F value Pr(>F) feed 5 231,129.16 46,225.83 15.36 0.0000 Residuals 65 195,556.02 3,008.55