Sequential Response Surface Designs

Hemavathi, M and Varghese, Eldho and Shekhar, Shashi (2023) Sequential Response Surface Designs. In: Training Manual on Statistical Designs and Analytical Methods for Multifactor Experiments. ICAR- Central Marine Fisheries Research Institute, Kochi, pp. 178-188.

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Abstract

Response Surface Methodology (RSM) is a set of techniques that includes (i) designing of experiment which provides adequate and consistent estimates on the response of interest, (ii) determining the model which best fits the data of interest by conducting suitable tests of significance about the parameters and (iii) determining the optimal sets of the experimental factors. Let there be v independent input factors denoted by 1 2 v x ,x ,...,x and a response variable y then the response can be represented as a function of input factors y f (x x ,....x ) e   1u, 2u vu u , where u = 1,2,…,N, xiu is the level of the th i (i 1,2,...,v)  factor in the th u treatment combination, yu denotes the response obtained from th u treatment combination. The function f describes the form in which the response and the input variables are related and u e is the random error associated with the th u observation, which is independently and normally distributed with mean zero and common variance 2 σ . Usually, the form of f is unknown, and it is therefore approximated within the experimental region by a suitable low-degree polynomial. Polynomials that represent the adequate factor-response relationships are called response surface models. The designs that permit the fitting of response surfaces and provide a measure for testing their adequacy are called response surface designs (RSDs).

Item Type:	Book Section
Uncontrolled Keywords:	Response Surface Methodology (RSM)
Subjects:	Statistical Designs
Divisions:	CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division Subject Area > CMFRI > CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division Subject Area > CMFRI-Kochi > Marine Capture > Fishery Resources Assessment, Economics and Extension Division
Depositing User:	Arun Surendran
Date Deposited:	14 Sep 2023 05:12
Last Modified:	14 Sep 2023 05:12
URI:	http://eprints.cmfri.org.in/id/eprint/17455

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