MV-optimal block designs for correlated errors

    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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