关键词: Supersaturated design, BIB design(BIBD), effect sparsity, generating vector

Abstract:

A supersaturated design is a design whose run size is not enough for estimating
all the main effects represented by the columns of the design matrix. It is widely used in
the preliminary stages of industrial statistics and other scientific experiments. In this
paper, formulas for computing the E(s2) values of E(s2) optimal supersaturated designs
with m = t(n − 1) ± e(e = 1 and 2) are given, and the accuracy and convenience of using
these formulas are demonstrated by an example.

Key words: Supersaturated design, BIB design(BIBD), effect sparsity, generating vector