Robustness of subset response surface designs to missing observations
Robustness of subset response surface designs to missing observations
Experiments designed to investigate the effect of several factors on a process have wide application in modern industrial and scientific research. Response surface designs allow the researcher to model the effects of the input variables on the response of the process. Missing observations can make the results of a response surface experiment quite misleading, especially in the case of one-off experiments or high cost experiments. Designs robust to missing observations can attract the user since they are comparatively more reliable. Subset designs are studied for their robustness to missing observations in different experimental regions. The robustness of subset designs is also improved for multiple levels by using the minimax loss criterion.
response surface methodology, missing observations, subset design, minimax loss criterion, prediction variance
92-103
Ahmad, Tanvir
1032be3f-ee0a-4985-9fa2-4d062e364423
Gilmour, Steven G.
984dbefa-893b-444d-9aa2-5953cd1c8b03
1 January 2010
Ahmad, Tanvir
1032be3f-ee0a-4985-9fa2-4d062e364423
Gilmour, Steven G.
984dbefa-893b-444d-9aa2-5953cd1c8b03
Ahmad, Tanvir and Gilmour, Steven G.
(2010)
Robustness of subset response surface designs to missing observations.
Journal of Statistical Planning and Inference, 140 (1), .
(doi:10.1016/j.jspi.2009.06.011).
Abstract
Experiments designed to investigate the effect of several factors on a process have wide application in modern industrial and scientific research. Response surface designs allow the researcher to model the effects of the input variables on the response of the process. Missing observations can make the results of a response surface experiment quite misleading, especially in the case of one-off experiments or high cost experiments. Designs robust to missing observations can attract the user since they are comparatively more reliable. Subset designs are studied for their robustness to missing observations in different experimental regions. The robustness of subset designs is also improved for multiple levels by using the minimax loss criterion.
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Published date: 1 January 2010
Keywords:
response surface methodology, missing observations, subset design, minimax loss criterion, prediction variance
Organisations:
Statistics
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Local EPrints ID: 174553
URI: http://eprints.soton.ac.uk/id/eprint/174553
ISSN: 0378-3758
PURE UUID: c72e929a-2763-4d75-881c-1628835f0659
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Date deposited: 14 Feb 2011 16:22
Last modified: 14 Mar 2024 02:34
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Author:
Tanvir Ahmad
Author:
Steven G. Gilmour
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