On balanced orthogonal multi-arrays: Existence, construction and application to design of experiments

✍ Scribed by Rahul Mukerjee

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 124 KB
• Volume: 73
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(98)00057-3

✦ Synopsis

Balanced orthogonal multi-arrays (BOMAs) have been introduced recently as a generalization of orthogonal arrays (OAs) and studied in the context of variance estimation in stratiÿed sampling. This article considers a practically useful and theoretically interesting class of BOMAs, given by the proper BOMAs, and examines their existence and construction problems. Furthermore, it is seen that proper BOMAs yield optimal experimental plans and can thus be useful in design of experiments as well.