Open Access
December, 1961 Some Main-Effect Plans and Orthogonal Arrays of Strength Two
Sidney Addelman, Oscar Kempthorne
Ann. Math. Statist. 32(4): 1167-1176 (December, 1961). DOI: 10.1214/aoms/1177704855


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 $(2s^n, 2\lbrack s^n - 1\rbrack/\lbrack 2 - 1\rbrack - 1, s, 2)$.


Download Citation

Sidney Addelman. Oscar Kempthorne. "Some Main-Effect Plans and Orthogonal Arrays of Strength Two." Ann. Math. Statist. 32 (4) 1167 - 1176, December, 1961.


Published: December, 1961
First available in Project Euclid: 27 April 2007

zbMATH: 0107.36001
MathSciNet: MR137244
Digital Object Identifier: 10.1214/aoms/1177704855

Rights: Copyright © 1961 Institute of Mathematical Statistics

Vol.32 • No. 4 • December, 1961
Back to Top