Refer to Example 9.10. Suppose the same factorial experiment is performed on four other brands (E, F, G, and H), and the results are as shown in Table 9.16. Repeat the factorial analysis and interpret the results.

Example 9.10

The USGA is interested in knowing whether the difference in distance traveled by any two golf ball brands depends on the club used. Consequently, the USGA tests four different brands (A, B, C, D) of golf balls and two different clubs (driver, fiveiron)

in a completely randomized design. Each of the eight Brand-Club combinations (treatments) is randomly and independently assigned to four experimental units, each experimental unit 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 9.13.

Transcribed Image Text:

Table 9.16 Distance Data for Second Factorial Golf Experiment Brand Club Driver Five-Iron E 238.6 241.9 236.6 244.9 165.2 156.9 172.2 163.2 F 261.4 261.3 254.0 259.9 179.2 171.0 178.0 182.7 G 264.7 262.9 253.5 255.6 189.0 191.2 191.3 180.5 H 235.4 239.8 236.2 237.5 171.4 159.3 156.6 157.4