For a 4 factor 2 level Half fractional factorial design, which of the following statements are true?

i. Third order interactions are aliased

ii. Second order interactions are aliased

iii. The fourth order term could be the Design Generator

iv. All main effects are significant

OPTIONS

• i and ii
• i, ii and iii
• i and iii
• i, ii, iii and iv

ANSWER

i and iii

EXPLANATION

The settings for the experimental design hold good only with third order interactions being aliased and fourth order term being the design generator, so i and iii are correct.