Run order consideration for sequential third order rotatable designs

Hemavathi, M and Varghese, Eldho and Shekhar, Shashi and Jaggi, Seema and Bhowmik, Arpan and Sathianandan, T V (2022) Run order consideration for sequential third order rotatable designs. Communications in Statistics - Simulation and Computation. pp. 1-14.

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Abstract

Random execution of run sequences is employed in response surface designs to avoid bias in the response. Since the randomization of run sequences may induce frequent changes in the factor levels, which makes it difficult or expensive for the experimenter, especially when hard-tochange factors are involved in the experiment. Mostly, second order response surface designs (SORDs) are being used to explore the functional relationship between the response and the input variables. But when the lack of fit of the model becomes significant, it is desirable to explore the relationship with a polynomial model of order three. This requires third order rotatable designs (TORDs), which can be sequentially implemented by adding few more runs to the SORDs. In this paper, the construction of sequential TORDs with minimum level changes in the run sequences has been discussed.

Item Type:	Article
Uncontrolled Keywords:	Cost-effective; Minimum level changes; Minimum run; Rotatable design; Sequential experimentation; TORD
Subjects:	Statistical Designs
Divisions:	CMFRI-Kochi > Marine Capture > Fishery Resources Assessment Division Subject Area > CMFRI > CMFRI-Kochi > Marine Capture > Fishery Resources Assessment Division CMFRI-Kochi > Marine Capture > Fishery Resources Assessment Division Subject Area > CMFRI-Kochi > Marine Capture > Fishery Resources Assessment Division
Depositing User:	Arun Surendran
Date Deposited:	07 Mar 2022 09:48
Last Modified:	19 Oct 2022 09:01
URI:	http://eprints.cmfri.org.in/id/eprint/15834

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