Indicator Function: An Unified Representation of Two Level Factorial Designs

Abstract

A two-level factorial design, either regular or non-regular, replicated or unreplicated, can be uniquely represented by an indicator function. Since indicator functions can be written as an polynomial, properties of two-level factorial designs can be studied through polynomials. Two applications will be presented. First is to generalize abberation criterion to non-regular designs. Second is to study properties over foldover designs. A fundemental result on regular design is also obtained using indicator function.