• Article

Some Main-Effect Plans and Orthogonal Arrays of Strength Two

In this paper we present a method of constructing main-effect plans for symmetrical factorial experiments which can accommodate up to \$\lbrack 2(s^n - 1)/(s - 1) - 1\rbrack\$ factors, each at \$s = p^m\$ levels, where \$p\$ is a prime, with \$2s^n\$ treatment combinations. As main-effect plans are orthogonal arrays of strength two the method presented permits the construction of the orthogonal arrays \$(2s^n, 2\lbrack s^n - 1\rbrack/\lbrack 2 - 1\rbrack - 1, s, 2)\$

Citation

Addelman, S., & Kempthorne, O. (1961). Some Main-Effect Plans and Orthogonal Arrays of Strength Two. Annals of Mathematical Statistics, 32(4), 1167-1176.