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Fractional factorial designs for the detection of interactions between design and noise factors

Fractional factorial designs for the detection of interactions between design and noise factors
Fractional factorial designs for the detection of interactions between design and noise factors
In industrial experiments on both design (control) factors and noise factors aimed at improving the quality of manufactured products, designs are needed which afford independent estimation of all design×noise interactions in as few runs as possible, while allowing aliasing between those factorial effects of less interest. An algorithm for generating orthogonal fractional factorial designs of this type is described for factors at two levels. The generated designs are appropriate for experimenting on individual factors or for experimentation involving group screening of factors.
algorithms, alias count vectors, regular fractional factorials, tables of designs
0266-4763
545-552
Russell, K.G.
7a489c0a-13d2-4432-98c1-373692512949
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Dean, A.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3
Russell, K.G.
7a489c0a-13d2-4432-98c1-373692512949
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Dean, A.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3

Russell, K.G., Lewis, S.M. and Dean, A. (2004) Fractional factorial designs for the detection of interactions between design and noise factors. Journal of Applied Statistics, 31 (5), 545-552. (doi:10.1080/02664760410001681800).

Record type: Article

Abstract

In industrial experiments on both design (control) factors and noise factors aimed at improving the quality of manufactured products, designs are needed which afford independent estimation of all design×noise interactions in as few runs as possible, while allowing aliasing between those factorial effects of less interest. An algorithm for generating orthogonal fractional factorial designs of this type is described for factors at two levels. The generated designs are appropriate for experimenting on individual factors or for experimentation involving group screening of factors.

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Published date: 2004
Keywords: algorithms, alias count vectors, regular fractional factorials, tables of designs
Organisations: Statistics

Identifiers

Local EPrints ID: 30075
URI: http://eprints.soton.ac.uk/id/eprint/30075
ISSN: 0266-4763
PURE UUID: 52c0842c-066d-43e0-b7b1-43b093d48ca4

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Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:37

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Contributors

Author: K.G. Russell
Author: S.M. Lewis
Author: A. Dean

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