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D- and E-optimal blocked main effects plans with unequal block sizes when n is odd

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  • Dutta, Ganesh
  • SahaRay, Rita

Abstract

In this article experimental situations are considered where a main effects plan is to be used to study m two-level factors using n runs, partitioned into b blocks, ith block having size ki, where ∑i=1bki=n. For n odd, D- and E-optimal designs are characterized. Simple construction methods for these optimal designs are given.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:37-43
    DOI: 10.1016/j.spl.2015.08.001
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    References listed on IDEAS

    as
    1. Jacroux, Mike, 2008. "A note on the construction of optimal main effects plans in blocks of size two," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2366-2370, October.
    2. 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.
    3. Jacroux, Mike & Kealy-Dichone, Bonni, 2015. "On the use of blocked 2-level main effects plans having blocks of different sizes," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 362-368.
    4. 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.
    5. 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.
    6. Jacroux, Mike & Kealy-Dichone, Bonni, 2015. "On the type I optimality of blocked 2-level main effects plans having blocks of different sizes," Statistics & Probability Letters, Elsevier, vol. 98(C), pages 39-43.
    7. Rahul Mukerjee, 2002. "Optimal main effect plans with non-orthogonal blocking," Biometrika, Biometrika Trust, vol. 89(1), pages 225-229, March.
    8. Jacroux, Mike, 2011. "On the D-optimality of orthogonal and nonorthogonal blocked main effects plans," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 116-120, January.
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    1. Jacroux, Mike & Kealy-Dichone, Bonni, 2015. "On the use of blocked 2-level main effects plans having blocks of different sizes," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 362-368.
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