On the existence of main effect plus k plans for 2^m factorials and tables for main effect plus 1 and 2 plans for 2⁷ factorials

Abstract

In this paper, we obtain a necessary and sufficient condition on T ₂ such that a plan T = T ₁ + T ₂ is a main effect plus k(MEP.k) plan, without imposing any restriction on k, where T ₁ is a saturated main effect plan with m + 1 treatments and where m = 2^h - 1 and h(≥ 2) is a positive integer.

Keywords:

• Search linear model
• factorial experiment
• search designs
• main effect plan
• main effect plus k plans