Title

Mv-Optimal Block Designs For Correlated Errors

Abstract

This paper presents M V-optimal block designs for three treatments having b = 3 n + 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 M V-optimal within the class of all equally replicated connected designs. A class of unequally replicated designs is found to be M V-better than d* in the unrestricted class of all connected designs for large positive correlations. © 2008 Elsevier B.V. All rights reserved.

Publication Date

12-1-2008

Publication Title

Statistics and Probability Letters

Volume

78

Issue

17

Number of Pages

2926-2931

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.spl.2008.04.017

Socpus ID

54049112630 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/54049112630

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