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Efficiency factors for natural contrasts in partially confounded factorial designs

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  • Dey, Aloke
  • Mukerjee, Rahul

Abstract

With reference to a partially confounded design for a 3n factorial experiment, an explicit expression is derived for the efficiency factors of natural contrasts of the forms linear, linear × linear, linear × quadratic, etc. This expression involves the harmonic mean of the efficiency factors for pencils. It is also shown that such a neat result does not exist for general s-level factorials where s>3. Nevertheless, the case of such general s is also explored.

Suggested Citation

  • Dey, Aloke & Mukerjee, Rahul, 2012. "Efficiency factors for natural contrasts in partially confounded factorial designs," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2180-2188.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:12:p:2180-2188
    DOI: 10.1016/j.spl.2012.08.003
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