Previous | Table of Contents | Next |
TABLE 17.9 An Example Sign Table | ||||||||
---|---|---|---|---|---|---|---|---|
I | A | B | C | AB | AC | BC | ABC | y |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 14 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 22 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 10 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 34 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 46 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 58 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 50 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 86 |
320 | 80 | 40 | 160 | 40 | 16 | 24 | 9 | Total |
40 | 10 | 5 | 20 | 5 | 2 | 3 | 1 | Total/8 |
be computed from the effects as follows:
SST = 23(qA2 + qB2 + qC2 + qAB2 + qAC2 + qBC2 + qABC2
= 8(102 + 52 + 202 + 52 + 22 + 32 + 12)
= 800 + 200 + 3200 + 200 + 32 + 72 + 8 = 4512
The portion of variation explained by the seven effects are 800/4512 (18%), 200/4512 (4%), 3200/4512 (71%), 200/4512 (4%), 32/4512 (1%), 72/4512 (2%), and 8/4512 (0%), respectively.
TABLE 17.10 A 23 Design | ||||
---|---|---|---|---|
A1 | A2 | |||
C1 | C2 | C1 | C2 | |
B1 | 100 | 15 | 120 | 10 |
B2 | 40 | 30 | 20 | 50 |
Previous | Table of Contents | Next |