Two-stage group screening in the presence of noise factors and unequal probabilities of active effects
Two-stage group screening in the presence of noise factors and unequal probabilities of active effects
Group screening is a technique for examining a large number of factors in order to discover the few factors that have important influences on a measured response. In two-stage group screening, factors are assigned to groups and new "grouped factors" are investigated in a first stage experiment by varying all the factor values within a group simultaneously. The factors within those groups identified as important are then investigated individually in a second stage experiment. This paper describes theory and software that allows investigation of group screening in the presence of unequal-sized groups of factors in the first stage experiment and different probabilities of the various main effects and interactions being important (or active). Examples are given to show how the results can be used in practice to guide the choice of the number and sizes of the groups and to investigate the advantages and disadvantages of different group screening strategies.
design of experiments, fractional factorial experiment, interaction, noise factor, screening, simulation.
871-888
Vine, A.E.
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Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Dean, A.M.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3
October 2005
Vine, A.E.
0b9da504-9342-4aa1-ae7f-2c6333629804
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Dean, A.M.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3
Vine, A.E., Lewis, S.M. and Dean, A.M.
(2005)
Two-stage group screening in the presence of noise factors and unequal probabilities of active effects.
Statistica Sinica, 15 (4), .
Abstract
Group screening is a technique for examining a large number of factors in order to discover the few factors that have important influences on a measured response. In two-stage group screening, factors are assigned to groups and new "grouped factors" are investigated in a first stage experiment by varying all the factor values within a group simultaneously. The factors within those groups identified as important are then investigated individually in a second stage experiment. This paper describes theory and software that allows investigation of group screening in the presence of unequal-sized groups of factors in the first stage experiment and different probabilities of the various main effects and interactions being important (or active). Examples are given to show how the results can be used in practice to guide the choice of the number and sizes of the groups and to investigate the advantages and disadvantages of different group screening strategies.
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Published date: October 2005
Keywords:
design of experiments, fractional factorial experiment, interaction, noise factor, screening, simulation.
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Statistics
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Local EPrints ID: 29926
URI: http://eprints.soton.ac.uk/id/eprint/29926
ISSN: 1017-0405
PURE UUID: 304ea3b2-5d1b-492e-8e3e-e52e393e2e12
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Date deposited: 10 May 2006
Last modified: 27 Apr 2022 05:21
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Author:
A.E. Vine
Author:
S.M. Lewis
Author:
A.M. Dean
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