Title

MV-optimal block designs for correlated errors

Authors

Authors

N. Uddin

Comments

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Abstract

This paper presents MV-optimal block designs for three treatments having b = 3n + 1 blocks each of size three when observations within each block are correlated. Two distinct covariance structures are considered, and the optimality problem is addressed using generalized least squares estimation of treatment contrasts in fixed-block effects model. In particular, it is shown that a design d* having n copies of the blocks (1, 2, 3), (2, 3, 1). (3, 1, 2) and one copy of (1, 3, 2) is MV-optimal within the class of all equally replicated connected designs. A class of unequally replicated designs is found to be MV-better than d* in the unrestricted class of all connected designs for large positive correlations. (C) 2008 Elsevier B.V. All rights reserved.

Journal Title

Statistics & Probability Letters

Volume

78

Issue/Number

17

Publication Date

1-1-2008

Document Type

Article

First Page

2926

Last Page

2931

WOS Identifier

WOS:000261358700015

ISSN

0167-7152

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