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Sequential asymmetric third order rotatable designs (SATORDs)

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Title Sequential asymmetric third order rotatable designs (SATORDs)
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Creator M. Hemavathi
Eldho Varghese
Shashi Shekhar
Seema Jaggi
 
Subject Response surface methodology
rotatability
orthogonal transformation
asymmetric
sequential experimentation
third order designs
 
Description Not Available
Rotatable designs that are available for process/ product optimization trials are mostly symmetric in nature. In many practical situations, response surface designs (RSDs) with mixed factor (unequal) levels are more suitable as these designs explore more regions in the design space but it is hard to get rotatable designs with a given level of asymmetry. When experimenting with unequal factor levels via asymmetric second order rotatable design (ASORDs), the lack of fit of the model may become significant which ultimately leads to the estimation of parameters based on a higher (or third) order model. Experimenting with a new third order rotatable design (TORD) in such a situation would be expensive as the responses observed from the first stage runs would be kept underutilized. In this paper, we propose a method of constructing asymmetric TORD by sequentially augmenting some additional points to the ASORDs without discarding the runs in the first stage. The proposed designs will be more economical to obtain the optimum response as the design in the first stage can be used to fit the second order model and with some additional runs, third order model can be fitted without discarding the initial design.
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Date 2022-05-04T07:22:28Z
2022-05-04T07:22:28Z
2020-12-29
 
Type Research Paper
 
Identifier M. Hemavathi, Eldho Varghese, Shashi Shekhar & Seema Jaggi (2020): Sequential asymmetric third order rotatable designs (SATORDs), Journal of Applied Statistics, DOI: 10.1080/02664763.2020.1864817
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http://krishi.icar.gov.in/jspui/handle/123456789/71891
 
Language English
 
Relation Not Available;
 
Publisher Taylor and Francis