Chopra, D. V. A note on an upper bound for the constraints of balanced arrays with strength t. (English) Zbl 0552.62062 Commun. Stat., Theory Methods 12, 1755-1759 (1983). In this paper we obtain an upper bound for the number of constraints of some balanced arrays (B-arrays) of strength t (t\(\geq 3)\) and with two symbols. Cited in 3 ReviewsCited in 5 Documents MSC: 62K15 Factorial statistical designs 05B15 Orthogonal arrays, Latin squares, Room squares Keywords:orthogonal arrays; fractional factorial designs; upper bound for the number of constraints; balanced arrays PDFBibTeX XMLCite \textit{D. V. Chopra}, Commun. Stat., Theory Methods 12, 1755--1759 (1983; Zbl 0552.62062) Full Text: DOI References: [1] Bose R.C., Ann. Math. Statist 23 pp 508– (1952) · Zbl 0048.00803 · doi:10.1214/aoms/1177729331 [2] Bush K.A., Ann. Math. Statist 23 pp 426– (1952) · Zbl 0047.01704 · doi:10.1214/aoms/1177729387 [3] Chen C.S., Ann. Statist 8 pp 436– (1980) · Zbl 0425.62055 · doi:10.1214/aos/1176344963 [4] Chopra, D.V. 1975.Optimal balanced 28fractional factorial designs of resolution V, with 60 to 65 runs, Vol. XLVI, 161–166. Bulletin of the International Statistl. Institute. · Zbl 0353.62042 [5] Mukhopadhyay A.C., Ph.D. dissertation (1974) [6] Raktoe B.L., Factorial Designs (1981) · Zbl 0593.62074 [7] Rafter J.A., Ann. Statist 2 pp 1256– (1974) · Zbl 0297.62059 · doi:10.1214/aos/1176342877 [8] Rao C.R., Bull. Calcutta Math. Soc 38 pp 67– (1946) [9] Rao C.R., J. Roy Statist. Soc. Suppl 9 pp 128– (1947) · doi:10.2307/2983576 [10] Rao C.R., A Survey of combinatorial Theory pp 349– (1973) · doi:10.1016/B978-0-7204-2262-7.50034-X [11] Seiden E., Ann. Math. Statist 26 pp 132– (1955) · Zbl 0065.00602 · doi:10.1214/aoms/1177728602 [12] Seiden E., Ann. Math. Statist 27 pp 1355– (1966) · Zbl 0147.19002 · doi:10.1214/aoms/1177699280 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.