On the Construction of Asymmetrical Orthogonal Arrays
A. S. Hedayat, Kewei Pu, John Stufken
The Annals of Statistics · 1992 · Volume 20 · Issue 4
Abstract
General techniques for the construction of asymmetrical orthogonal arrays of strength 2 are presented. These are then applied to special cases to obtain new families of such arrays. Among these are saturated main-effect plans based on $s^m$ runs with factors at $s^{\nu_i}$ levels, $i = 0, 1, \ldots, r,$ where $m \geq v_r, v_0 = 1, v_{i-1}$ divides $v_i, i = 1,2,\ldots, r$, and $s$ is a prime power.
Keywords
05B15; 62K15; difference schemes; Fractional factorial designs; Kronecker sums; main-effect plans; orthogonal arrays; resolvability;
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