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On the E-optimality of blocked main effects plans when n≡3 (mod 4)

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  • Jacroux, Mike
  • Kealy-Dichone, Bonni

Abstract

In this paper we consider experimental situations in which m 2-level factors are to be studied using a main effects plan where n runs are partitioned into b block of size k. For the case n≡3 (mod 4), we establish some sufficient conditions for a design to be E-optimal and then give a method for constructing designs satisfying the conditions given.

Suggested Citation

  • Jacroux, Mike & Kealy-Dichone, Bonni, 2014. "On the E-optimality of blocked main effects plans when n≡3 (mod 4)," Statistics & Probability Letters, Elsevier, vol. 87(C), pages 143-148.
    • Handle: RePEc:eee:stapro:v:87:y:2014:i:c:p:143-148
    DOI: 10.1016/j.spl.2014.01.005
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    References listed on IDEAS

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    1. Bose, Mausumi & Bagchi, Sunanda, 2007. "Optimal main effect plans in blocks of small size," Statistics & Probability Letters, Elsevier, vol. 77(2), pages 142-147, January.
    2. Jacroux, Mike, 2013. "A note on the optimality of 2-level main effects plans in blocks of odd size," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1163-1166.
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    Cited by:

    1. Dutta, Ganesh & SahaRay, Rita, 2015. "D- and E-optimal blocked main effects plans with unequal block sizes when n is odd," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 37-43.

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    Keywords

    Design matrix; E-optimality;

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