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Third Order Response Surface Designs for Sequential Experimentation

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Relation http://eprints.cmfri.org.in/14927/
http://naarm.org.in/vista2021/PDFs/Eldho_SSCA_2021.pdf
 
Title Third Order Response Surface Designs for Sequential Experimentation
 
Creator Varghese, Eldho
Hemavathi, M
Shekhar, Shashi
Jaggi, Seema
 
Description Response surface methodology is being widely used in developing and improving the quality
characteristics of process/product through response surface model based optimization.
Second order rotatable designs (SORDs) are the most prominent and popular class of designs
used for such optimization trials. When the response obtained from a second order rotatable
design (SORDs) is modelled using a second order model, it may sometimes lead to
significant lack of fit which indicate the inadequacy of the model. Then one may think of a
third order model to establish a functional relationship between the response and the input
variables. Experimenting with a new third order rotatable designs (TORDs) in such a
situation would be expensive as the responses observed from the first stage runs would be
kept underutilized. In this paper, construction of TORDs suitable for sequential
experimentation has been discussed which allows the estimation of parameters of the second
order model at first stage and further fitting of third order model with addition of few more
design points.
 
Date 2021
 
Type Conference or Workshop Item
NonPeerReviewed
 
Format text
 
Language en
 
Identifier http://eprints.cmfri.org.in/14927/1/VISTA_2021_Eldho%20Varghese_3.pdf
Varghese, Eldho and Hemavathi, M and Shekhar, Shashi and Jaggi, Seema (2021) Third Order Response Surface Designs for Sequential Experimentation. In: 3rd Annual Conference (online mode) on “Visionary Innovations in Statistical Theory and Applications (VISTA2021)", 24-28 February 2021, ICAR-National Academy of Agricultural Research Management, Hyderabad. (Submitted)