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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. Try out our courses by taking the first module of the Primer in Statistics free of charge.
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