design for the 
factors and 
levels that must be a prime number.
Table 1 lists the number of trials for available factors.
Even though the level-balanced descriptive design is
efficient, it gives an aliased result in the effect analysis. As explained in Level Balanced
Descriptive Design, it is the limitation of the strength-I orthogonal
design. For higher level design, AutoDesign provides the Bose’s
orthogonal design that is a strength-II design. This design gives a design for the factors and levels that must be a prime number.
Table 1 lists the number of trials for available factors.
|
Trials |
Level |
Factors |
|
4 |
2 |
2-3 |
|
9 |
3 |
2-4 |
|
25 |
5 |
2-6 |
|
49 |
7 |
2-8 |
|
121 |
11 |
2-12 |
|
169 |
13 |
2-14 |
Table 1 Experimental runs of Bose’s orthogonal design
In the above table, the trial number 25 is well known as
Taguchi’s
Reference
Hedayat, A.S., Sloane, N.J.A. and Stufken, J., Orthogonal Arrays: Theory and Applications, Springer, Newyork, 1999.