CHARACTERIZATION OF ORTHOGONAL 24-RUN 26 FACTORIAL DESIGNS DERIVABLE FROM SATURATED TWO-SYMBOL ORTHOGONAL ARRAYS OF STRENGTH 2, SIZE 24, 23 CONSTRAINTS AND INDEX 6

Abstract

This paper is concerned with two-symbol orthogonal arrays of strength 2, size 24, 6 constraints and index 6 which are obtained by selecting 6 columns from saturated two-symbol orthogonal arrays having maximal constraints. In [15], it has been shown that there are precisely 1,317 isomorphic classes of such arrays with respect to the permutation of factors and levels within factors. In this paper, the statistical properties of those orthogonal 24-run $2^6$-factorial designs which are associated with the above are investigated.