Detailed wordlength pattern of regular fractional factorial split-plot designs in terms of complementary sets

Bingham, Derek ; Mukerjee, Rahul (2006) Detailed wordlength pattern of regular fractional factorial split-plot designs in terms of complementary sets Discrete Mathematics, 306 (14). pp. 1522-1533. ISSN 0012-365X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00123...

Related URL: http://dx.doi.org/10.1016/j.disc.2005.02.022

Abstract

With reference to regular fractional factorial split-plot designs, we consider a detailed wordlength pattern taking due cognizance of the distinction between the whole-plot and sub-plot factors. A generalized version of the MacWilliams' identity is employed to express the detailed wordlength pattern in terms of complementary sets. Several special features make this result intrinsically different from the corresponding one in classical fractional factorial designs where all factors have the same status. An application to robust parameter designs is indicated and examples given.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Finite Projective Geometry; Macwilliams' Identity; Robust Parameter Design; Sub-plot; Two-phase Randomization; Whole-plot
ID Code:20315
Deposited On:20 Nov 2010 14:41
Last Modified:02 Mar 2011 07:22

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