Example of specifying generators
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Suppose you want to add two factors to a base design with three factors and eight runs.

1    Choose Stat > DOE > Factorial > Create Factorial Design.

2    Choose 2-level factorial (specify generators).

3    From Number of factors, choose 3.

4    Click Designs.

5    In the Designs box at the top, highlight the row for a full factorial. This design will serve as the base design.

6    Click Generators. In Add factors to the base design by listing their generators, enter D = AB     E = AC. Click OK in each dialog box.

Session window output

Fractional Factorial Design

 

 

Factors:  5   Base Design:         3, 8   Resolution:  III

Runs:     8   Replicates:             1   Fraction:    1/4

Blocks:   1   Center pts (total):     0

 

* NOTE * Some main effects are confounded with two-way interactions.

 

 

Design Generators: D = AB, E = AC

 

 

Alias Structure (up to order 3)

 

I + ABD + ACE

 

A + BD + CE

B + AD + CDE

C + AE + BDE

D + AB + BCE

E + AC + BCD

BC + DE + ABE + ACD

BE + CD + ABC + ADE

Interpreting the results

The base design has three factors labeled A, B, and C. Then Minitab adds factors D and E. Because of the generators selected, D is confounded with the AB interaction and E is confounded with the AC interaction. This gives a 2(5-2) or resolution III design. Look at the alias structure to see how the other effects are confounded.