Fractional factorial designs which allow estimation up to three factor interactions

Abstract

In this project we focus on the construction of partially duplicated fractional factorial designs. Factors involved in these designs are at two levels. In the first part of this work we discuss partially duplicated fractional factorial designs that permit estimation of main effects and two factor interactions only. In part two of this work, we construct partially duplicated fractional factorial designs that permit estimation of main effects, two-factor and three-factor interactions only assuming high order interactions to be absent. Designs presented in this project have as many as ten factors. The method of construction, analysis, test procedure and block designs is illustrated and can be used in any of the designs presented in this work.