Discussion
Consider the following statements :
(1) In Resolution-III designs main effects are aliased with two-factor interactions.
(2) In Resolution-IV designs, two-factor interactions are aliased with each other.
(3) In Resolution-V designs two-factor interactions cannot be aliased with three-factor interactions.
Which of the above statements are correct ?
Answer: A
Statements 1 and 2 are correct.
The resolution of a fractional factorial is the length of the shortest word in its defining relation. In a Resolution III design, main effects are not aliased with one another but are aliased with two-factor interactions (1). In Resolution IV, main effects are clear of two-factor interactions, but two-factor interactions are aliased with each other (2).
Statement 3 is false. In a Resolution V design no main effect or two-factor interaction is aliased with another of these, but two-factor interactions are aliased with three-factor interactions. A word of length 5, such as ABCDE, links AB with CDE. So the codes including 3 are wrong.
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