Efficiency factors for natural contrasts in partially confounded factorial designs

Aloke Dey and Rahul Mukerjee

Statistics & Probability Letters, 2012, vol. 82, issue 12, 2180-2188

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.

Keywords: Efficiency factor; Harmonic mean; Natural contrasts; Pencil (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2012.08.003

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