Globally orthogonal regular fractions of the sn factorial
Titel:
Globally orthogonal regular fractions of the sn factorial
Auteur:
Sana, G.M. tan, H. Peso Raktoe, B.L.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 11 (1982) nr. 1 pagina's 13-30
Jaar:
1982
Inhoud:
Dependence of the global orthogonality of a regular fraction of the s factorial s as introduced by Raktoe £t al_. f1980], on the basic matrix of contrasts used is brought out and studied in this paper. Some basic matrices for s = 3, 4, 5, 8, and a series of other higher values are presented for which any Aubapace-type regular design is globally orthogonal. For s « 4, under suitable basic matrices of contrasts, all regular fractions of the 4 factorial are shown to be globally orthogonal. A similar result for s = 2 is obtained by Raktoe ett ail. [1980J. Finally subspace-type fractions that are globally orthogonal under any basic matrix of contrasts are also identified