Page 525 - Design for Six Sigma a Roadmap for Product Development

484 Chapter Thirteen

Experimental factors
Porosity
A B AB D E BD G measurements
Experiment no. 1 2 3 4 5 6 7 1 2
1 1 1 1 1 1 1 1 26 38
2 1 1 1 2 2 2 2 16 6
3 1 2 2 1 1 2 2 3 17
4 1 2 2 2 2 1 1 18 16
5 2 1 2 1 2 1 2 0 5
6 2 1 2 2 1 2 1 0 1
7 2 2 1 1 2 2 1 4 5
8 2 2 1 2 1 1 2 5 3

Then we can compute
2 T 2
2
SS A (T 2 T )
8
2 A 1 A 2 8
2
0 5 0
where T A 1 26 38 16 6 3 17 18 16 140, T A 2
1 4 5 5 3 23, and T 26 38 16 ... 5 3 163 and
SS A 2516.125 1660.5625 855.5625. Similarly

2 2 2 T 2 2
SS B (T T ) [(26 38 16 6 0 5 0 1) 2
16 B 1 B 2 16 16
2
(3 17 18 16 4 5 5 3) ]
163 2
27.56
16
and
SS AB 115.56

SS D 68.06
SS E 33.06
SS BD 217.56

SS G 175.56
and

N n T 2
SS T

y (13.2)
2
ij
i 1 j 1 N
n
where y ij are individual observations, in this example:
163 2
2
SS T (26 38 ... 5 3 ) 1730.44
2
2
2
16