| The defining relationship
defines the aliasing structure in a fractional
factorial design. The 24-1
design shown below has the defining relationship
'ABCD':
|
|
A
BCD
|
B
ACD |
C
ABD |
AB
CD |
AC
BD |
BC
AD |
D
ABC
|
|
1
|
-1
|
-1
|
-1
|
1
|
1
|
1
|
-1
|
|
2
|
1
|
-1
|
-1
|
-1
|
-1
|
1
|
1
|
|
3
|
-1
|
1
|
-1
|
-1
|
1
|
-1
|
1
|
|
4
|
1
|
1
|
-1
|
1
|
-1
|
-1
|
-1
|
|
5
|
-1
|
-1
|
1
|
1
|
-1
|
-1
|
1
|
|
6
|
1
|
-1
|
1
|
-1
|
1
|
-1
|
-1
|
|
7
|
-1
|
1
|
1
|
-1
|
-1
|
1
|
-1
|
|
8
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
The table shows the aliased
terms for each column. Notice that
the aliased terms all combine to make the
defining relationship.
Refer to the Design
of Experiments for other terms.
|