Title

Optimal Block Designs For Three Treatments When Observations Are Correlated

Keywords

Block design; E- and M-optimality; Information matrix; Universal optimality

Abstract

E-optimal designs for comparing three treatments in blocks of size three are identified, where intrablock observations are correlated according to a first order autoregressive error process with parameter ρ ∈ (0, 1). For number of blocks b of the form b = 3 n + 1, there are two distinct optimal designs depending on the value of ρ, with the best design being unequally replicated for large ρ. For other values of b, binary, equireplicate designs with specified within-block assignment patterns are best. In many cases, the stronger majorization optimality is established. © 2007 Elsevier B.V. All rights reserved.

Publication Date

7-1-2008

Publication Title

Journal of Statistical Planning and Inference

Volume

138

Issue

7

Number of Pages

1960-1966

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.jspi.2007.07.014

Socpus ID

40949157114 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/40949157114

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