Consider given Exercise. Four factors (A, B, C, and D), each at three levels, are controlled in an experiment using an L9 orthogonal array. The output quality is classified as acceptable or unacceptable; unacceptable includes both the second-class and reject classes. Consider the data shown in Table.Combine the second-class and reject categories into one class and label it as unacceptable and accumulate the data accordingly. From the accumulation analysis, determine the optimal settings of the design factors.
Exercise
In a textile processing plant the quality of the output fabric is believed to be influenced by four factors (A, B, C, and D), each of which can be controlled at three levels. The fabric is classified into three categories: acceptable, second-class, or reject. An L9 orthogonal array is selected for the design factors, with the factors A,B, C, and D assigned to columns 1, 2, 3, and 4, respectively. The observations are shown in Table. Management wants to eliminate reject product altogether. Conduct an accumulation analysis, and determine the optimal settings of the design factors.
|
Experiment
|
Factor
|
Quality of fabric
|
|
A
|
B
|
C
|
D
|
Acceptable
|
Second Class
|
Reject
|
|
1
|
1
|
1
|
1
|
1
|
0
|
1
|
0
|
|
2
|
1
|
2
|
2
|
2
|
1
|
0
|
0
|
|
3
|
1
|
3
|
3
|
3
|
0
|
1
|
0
|
|
4
|
2
|
1
|
2
|
3
|
0
|
1
|
0
|
|
5
|
2
|
2
|
3
|
1
|
0
|
0
|
1
|
|
6
|
2
|
3
|
1
|
2
|
1
|
0
|
0
|
|
7
|
3
|
1
|
3
|
2
|
0
|
0
|
1
|
|
8
|
3
|
2
|
1
|
3
|
0
|
1
|
0
|
|
9
|
3
|
3
|
2
|
1
|
1
|
0
|
0
|