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E-optimality of some row and column designs

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Abstract

In this paper we consider experimental settings where υ treatments are being tested in b 1 rows and b 2 columns of sizes k 1i and k 2j , respectively, i=1,2,..., b 1, j=1,2,..., b 2. Some sufficient conditions for designs to be E-optimal in these classes are derived and some necessary and sufficient conditions for the E-optimality of some special classes of row and column designs are presented. Examples are also given to illustrate this theory.

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Authors and Affiliations

  1. Department of Mathematical and Statistical Methods, Acodemy of Agriculture in Poznan, Wojska Polskiego 28, 60-637, Poznan, Poland

    Maria Kozlowska & Ryszard Walkowiak

Authors
  1. Maria Kozlowska
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  2. Ryszard Walkowiak
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Kozlowska, M., Walkowiak, R. E-optimality of some row and column designs. Ann Inst Stat Math 42, 597–602 (1990). https://doi.org/10.1007/BF00049310

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  • DOI: https://doi.org/10.1007/BF00049310

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