(a) Perform an analysis of variance of the data of the following Latin- square experiment. In this experiment, the treatments, represented by A, B, and C, are three different kinds of golf balls; each is struck by three different golf clubs, K1, K2, and K3, by each of three different golf professionals, P1, P2, and P3. The following data represent the distances (in yards) from the tee for each golf shot.
(b) Would you normally perform such an experiment without replication? Why?
Answer to relevant QuestionsWith reference to Exercise 15.3, show that the computing formulas for the sums of squares are And State the conclusions of the experiment in words. Show that if a one-way analysis of variance is per-formed on the ranks of the observations instead of the observations themselves, it becomes equivalent to a test based on the H statistic. The following are the amounts of money (in dollars) spent by 16 persons at an amusement park: 20.15, 19.85, 23.75, 18.63, 21.09, 25.63, 16.65, 19.27, 18.80, 21.45, 20.29, 19.51, 23.80, 20.00, 17.48, and 19.11. Assuming that ...Rework Exercise 16.25 using the normal approximation to the distribution of the test statistic. In exercise The following are the numbers of minutes it took random samples of 15 men and 12 women to complete a written test ...
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