We study the construction of orthogonal arrays with three levels and index 1 and the existence of orthogonal arrays with three levels and index 2. For strength greater than or equal to 2, we show that orthogonal arrays with three levels and index 1 are unique, and we establish the maximum number of factors for orthogonal arrays with three levels and index 2.
@article{1069362386,
author = {Hedayat, S. and Stufken, John and Su, Guoqin},
title = {On the construction and existence of orthogonal arrays with three levels and indexes 1 and 2},
journal = {Ann. Statist.},
volume = {25},
number = {6},
year = {1997},
pages = { 2044-2053},
language = {en},
url = {http://dml.mathdoc.fr/item/1069362386}
}
Hedayat, S.; Stufken, John; Su, Guoqin. On the construction and existence of orthogonal arrays with three levels and indexes 1 and 2. Ann. Statist., Tome 25 (1997) no. 6, pp. 2044-2053. http://gdmltest.u-ga.fr/item/1069362386/