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Alias
 

In experimental design when two interactions, or a main effect and an interaction, share the same column, and so cannot be individually analyzed then their effects are aliased.

In the 23-1 design the factor C is aliased with the interaction AB:

Treatment
A
B
AB + C
1
-1
-1
+1
2
+1
-1
-1
3
-1
+1
-1
4
+1
+1
+1

When the design is analyzed it is not possible to distinguish between the effects of changes in the settings of factor C or the effects of an interaction between factors A and C. Thus this design would only be useful if you believed, from other information, that interactions between A and C would not be significant.

 

The Design of Experiments is covered in the MiC Quality basic Design of Experiments course and Advanced Design of Experiments course.

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