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Sequential asymmetric third order rotatable designs (SATORDs)

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Relation http://eprints.cmfri.org.in/14880/
https://www.tandfonline.com/doi/abs/10.1080/02664763.2020.1864817
https://doi.org/10.1080/02664763.2020.1864817
 
Title Sequential asymmetric third order rotatable
designs (SATORDs)
 
Creator Hemavathi, M
Varghese, Eldho
Shekhar, Shashi
Jaggi, Seema
 
Subject Statistical Designs
 
Description 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.
 
Date 2020
 
Type Article
PeerReviewed
 
Format text
 
Language en
 
Identifier http://eprints.cmfri.org.in/14880/1/Journal%20of%20Applied%20Statistics_2020_Eldho%20Varghese.pdf
Hemavathi, M and Varghese, Eldho and Shekhar, Shashi and Jaggi, Seema (2020) Sequential asymmetric third order rotatable designs (SATORDs). Journal of Applied Statistics. pp. 1-19.