Suppose the USGA tests four different brands (A, B, C, D) of golf balls and two different

Question:

Suppose the USGA tests four different brands (A, B, C, D) of golf balls and two different clubs (driver, five-iron) in a 4 * 2 factorial design. Each of the eight Brand–Club combinations (treatments) is randomly and independently assigned to four experimental units, each consisting of a specific position in the sequence of hits by Iron Byron. The distance response is recorded for each of the 32 hits, and the results are shown in Table 13 .

image text in transcribed

a. Use statistical software to partition the total sum of squares into the components necessary to analyze this 4 * 2 factorial experiment.

b. Conduct the appropriate ANOVA tests and interpret the results of your analysis.
Use a = .10 for the tests you conduct.

c. If appropriate, conduct multiple comparisons of the treatment means. Use an experimentwise error rate of .10. Illustrate the comparisons with a graph.