Some Main-Effect Plans and Orthogonal Arrays of Strength Two
Addelman, Sidney ; Kempthorne, Oscar
Ann. Math. Statist., Tome 32 (1961) no. 4, p. 1167-1176 / Harvested from Project Euclid
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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 $(2s^n, 2\lbrack s^n - 1\rbrack/\lbrack 2 - 1\rbrack - 1, s, 2)$.
Publié le : 1961-12-14
Classification:  
@article{1177704855,
     author = {Addelman, Sidney and Kempthorne, Oscar},
     title = {Some Main-Effect Plans and Orthogonal Arrays of Strength Two},
     journal = {Ann. Math. Statist.},
     volume = {32},
     number = {4},
     year = {1961},
     pages = { 1167-1176},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177704855}
}

Addelman, Sidney; Kempthorne, Oscar. Some Main-Effect Plans and Orthogonal Arrays of Strength Two. Ann. Math. Statist., Tome 32 (1961) no. 4, pp.  1167-1176. http://gdmltest.u-ga.fr/item/1177704855/