On Some Methods of Construction of Partially Balanced Arrays
Chakravarti, I. M.
Ann. Math. Statist., Tome 32 (1961) no. 4, p. 1181-1185 / Harvested from Project Euclid
Partially balanced arrays are generalizations of orthogonal arrays. Multifactorial designs derived from partially balanced arrays require a reduced number of assemblies in order to accommodate a given number of factors. For instance, an orthogonal array of strength two, six symbols and four constraints, would require at least $2.6^2 = 72$ assemblies. This is because there does not exist a pair of mutually orthogonal Latin Squares of order six. But for the same situation, a partially balanced array in 42 assemblies, is constructed in this paper. The method of construction is one of composition which utilizes the existence of a pairwise partially balanced incomplete block design and an orthogonal array.
Publié le : 1961-12-14
Classification: 
@article{1177704857,
     author = {Chakravarti, I. M.},
     title = {On Some Methods of Construction of Partially Balanced Arrays},
     journal = {Ann. Math. Statist.},
     volume = {32},
     number = {4},
     year = {1961},
     pages = { 1181-1185},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177704857}
}
Chakravarti, I. M. On Some Methods of Construction of Partially Balanced Arrays. Ann. Math. Statist., Tome 32 (1961) no. 4, pp.  1181-1185. http://gdmltest.u-ga.fr/item/1177704857/