Page 520 - Design for Six Sigma a Roadmap for Product Development

Taguchi’s Orthogonal Array Experiment 479

TABLE 13.7 Column Assignment for the Eight-Level Column
Other columns
Experiment New column by
no. merging (1,2,4,3,5,6,7) 8 9 10 11 12 13 14 15

1 1 1 1 1 1 1 1 1 1
2 1 2 2 2 2 2 2 2 2
3 2 1 1 1 1 2 2 2 2
4 2 2 2 2 2 1 1 1 1
5 3 1 1 2 2 1 1 2 2
6 3 2 2 1 1 2 2 1 1
7 4 1 1 2 2 2 2 1 1
8 4 2 2 1 1 1 1 2 2
9 5 1 2 1 2 1 2 1 2
10 5 2 1 2 1 2 1 2 1
11 6 1 2 1 2 2 1 2 1
12 6 2 1 2 1 1 2 1 2
13 7 1 2 2 1 1 2 2 1
14 7 2 1 1 2 2 1 1 2
15 8 1 2 2 1 2 1 1 2
16 8 2 1 1 2 1 2 2 1

TABLE 13.8 Column Levels
Column 1 levels Column 2 levels Column 4 levels New column levels

1 1 1 1
1 1 2 2
1 2 1 3
1 2 2 4
2 1 1 5
2 1 2 6
2 2 1 7
2 2 2 8

Example 13.7 In an experiment there are six factors, A,B,C,D,E,F, where A
is a nine-level factor and the others are three-level factors. First, DOF 1
(9 1) 5(3 1) 19. Since L 27 can accommodate up to 13 three-level
factors and it has 27 runs, we consider the following linear graph of L 27 :

A 1
C D E F
9 10 12 13
3,4 6,7

B
5
2 8,11