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Incomplete split-plot designs generated by some resolvable balanced designs

Author

Listed:
  • Ozawa, Kazuhiro
  • Mejza, Stanislaw
  • Jimbo, Masakazu
  • Mejza, Iwona
  • Kuriki, Shinji

Abstract

In the paper, we propose new incomplete split-plot designs. The designs proposed are obtained by some modified Kronecker product of two components designs, one for whole-plot treatments and second for subplot treatments. The new designs are characterized with respect to general balance property. Moreover, the efficiency factors of the design with respect to whole-plot and subplot treatments as well as with respect to interaction are given.

Suggested Citation

  • Ozawa, Kazuhiro & Mejza, Stanislaw & Jimbo, Masakazu & Mejza, Iwona & Kuriki, Shinji, 2004. "Incomplete split-plot designs generated by some resolvable balanced designs," Statistics & Probability Letters, Elsevier, vol. 68(1), pages 9-15, June.
    • Handle: RePEc:eee:stapro:v:68:y:2004:i:1:p:9-15
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    References listed on IDEAS

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    1. R. Bhargava & K. Shah, 1975. "Analysis of some mixed-models for block and split-plot designs," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 27(1), pages 365-375, December.
    2. Mejza, Iwona & Mejza, Stanislaw, 1984. "Incomplete split plot designs," Statistics & Probability Letters, Elsevier, vol. 2(6), pages 327-332, December.
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    Cited by:

    1. Are Aastveit & Trygve Almøy & Iwona Mejza & Stanislaw Mejza, 2009. "Individual control treatment in split-plot experiments," Statistical Papers, Springer, vol. 50(4), pages 697-710, August.
    2. Mandal, B.N. & Parsad, Rajender & Dash, Sukanta, 2020. "Incomplete split-plot designs: Construction and analysis," Statistics & Probability Letters, Elsevier, vol. 166(C).
    3. Ozawa, Kazuhiro & Kuriki, Shinji, 2006. "Incomplete split-plot designs generated from [alpha]-resolvable designs," Statistics & Probability Letters, Elsevier, vol. 76(12), pages 1245-1254, July.

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    1. Mandal, B.N. & Parsad, Rajender & Dash, Sukanta, 2020. "Incomplete split-plot designs: Construction and analysis," Statistics & Probability Letters, Elsevier, vol. 166(C).
    2. Are Aastveit & Trygve Almøy & Iwona Mejza & Stanislaw Mejza, 2009. "Individual control treatment in split-plot experiments," Statistical Papers, Springer, vol. 50(4), pages 697-710, August.

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