Efficiency factors for natural contrasts in partially confounded factorial designs
AbstractWith 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.
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Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 82 (2012)
Issue (Month): 12 ()
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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