21.4.3.12. Two-Level Orthogonal Design

Two-level orthogonal design is called a \({{2}^{k-p}}\) fractional factorial design. These designs require the selection of p independent generators. Although the Plackett-Burman design is more efficient than two-level orthogonal design, it can be inefficient for some cases such as 15-factors. It causes from the failure of balance.

AutoDesign provides the strength-II orthogonal design such as \({{2}^{k-p}}\) fractional factorial design, which generates the table automatically. Table 21.10 lists the number of trials for available factors.

Table 21.10 Experimental runs of two-level orthogonal design

Trials

Factors

Trials

Factors

4

2 - 3

128

64 - 127

8

4 - 7

256

128 - 255

16

8 - 15

512

256 - 511

32

16 - 31

1024

512 - 1023

64

32 - 63

Reference

  1. Peter W.M. John, 1998, Statistical Design and Analysis of Experiments, SIAM, Philadelphia.

  2. Douglas C Montgomery, 2000, Design and Analysis of Experiments, John Wiley & Sons, New York.