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

Mukerjee, Rahul (1998) On balanced orthogonal multi-arrays: existence, construction and application to design of experiments Journal of Statistical Planning and Inference, 73 (1-2). pp. 149-162. ISSN 0378-3758

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03783...

Related URL: http://dx.doi.org/10.1016/S0378-3758(98)00057-3

Abstract

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 stratified 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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Bose-bush Approach; Delsarte Theory; Difference Matrix; Main Effect; Orthogonal Array; Rao's Bound; Resolvability; Saturated Array; Stratified Sampling; Universal Optimality
ID Code:20320
Deposited On:20 Nov 2010 14:40
Last Modified:20 Nov 2010 14:40

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