Title

Optimal block designs for three treatments when observations are correlated

Authors

Authors

N. Uddin

Comments

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Abbreviated Journal Title

J. Stat. Plan. Infer.

Keywords

block design; E- and M-optimality; information matrix; universal; optimality; ERRORS; Statistics & Probability

Abstract

E-optimal designs forcomparing three treatments in blocks of sizethree are identified, where intrablock observations are correlated according to a first order autoregressive error process with parameter rho is an element of (0, 1). For number of blocks b of the form b = 3n + 1, there are two distinct optimal designs depending on the value of rho, with the best design being unequally replicated for large rho. 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. (C) 2007 Elsevier B.V. All rights reserved.

Journal Title

Journal of Statistical Planning and Inference

Volume

138

Issue/Number

7

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

1960

Last Page

1966

WOS Identifier

WOS:000255448100004

ISSN

0378-3758

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