Optimal block designs for three treatments when observations are correlated

    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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