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A note on the optimality of 2-level main effects plans in blocks of odd size

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  • Jacroux, Mike

Abstract

In this paper we consider experimental situations where a 2-level main effects plan is to be used to study m-factors using n runs which are partitioned into b blocks of size k=n/b and where k is an odd integer. For odd k≥3 and certain cases where b is a multiple of k, we show how to construct blocked main effects plans that are optimal under most widely used optimality criteria.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:4:p:1163-1166
    DOI: 10.1016/j.spl.2013.01.005
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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. Rahul Mukerjee, 2002. "Optimal main effect plans with non-orthogonal blocking," Biometrika, Biometrika Trust, vol. 89(1), pages 225-229, March.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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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    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.
    2. 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.
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    6. 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.
    7. 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.

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