On the Existence and Construction of a Complete Set of Orthogonal $F(4t; 2t, 2t)$-Squares Design
Federer, Walter T.
Ann. Statist., Tome 5 (1977) no. 1, p. 561-564 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
The purpose of this paper is to demonstrate the existence via construction of a complete set of mutually orthogonal $F$-squares of order $n = 4t, t$ a positive integer, with two distinct symbols. The proof assumes that all Hadamard matrices of order $4t$ exist; they are known to exist for all $1 \leqq t \leqq 50$ and for 2$^p$. Two methods of construction, that is, Hadamard matrix theory and factorial design theory, are given; the methods are related, but the approaches differ.
Publié le : 1977-05-14
Classification:  $F$-square design,  orthogonal $F$-squares,  Hadamard matrix,  analysis of variance,  factorial design,  62K99,  62K15,  62J10 
@article{1176343856,
     author = {Federer, Walter T.},
     title = {On the Existence and Construction of a Complete Set of Orthogonal $F(4t; 2t, 2t)$-Squares Design},
     journal = {Ann. Statist.},
     volume = {5},
     number = {1},
     year = {1977},
     pages = { 561-564},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176343856}
}

Federer, Walter T. On the Existence and Construction of a Complete Set of Orthogonal $F(4t; 2t, 2t)$-Squares Design. Ann. Statist., Tome 5 (1977) no. 1, pp.  561-564. http://gdmltest.u-ga.fr/item/1176343856/