An Improved Robust Regression Model for Response Surface Methodology

In production, manufacturing and several other allied industries, appropriate tool is applied in the analysis of data in order to enhance the opportunity for product and process optimization. A statistical tool that has successfully been used to achieve this goal is Response Surface Methodology (RSM...

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Main Authors: Efosa Edionwe, J. I. Mbegbu, N. Ekhosuehi, H. O. Obiora-Ilouno
Format: Article
Language:English
Published: Croatian Operational Research Society 2018-01-01
Series:Croatian Operational Research Review
Online Access:http://hrcak.srce.hr/file/310575
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spelling doaj-52b6472a069749e681ea369f948955cc2020-11-24T22:25:14ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312018-01-019231733010.17535/crorr.2018.0025212397An Improved Robust Regression Model for Response Surface MethodologyEfosa Edionwe0J. I. Mbegbu1N. Ekhosuehi2H. O. Obiora-Ilouno3Department of Mathematical Sciences, Edwin Clark University, Delta State, NigeriaDepartment of Statistics, University of Benin, Benin, NigeriaDepartment of Statistics, University of Benin, Benin, NigeriaDepartment of Statistics, Nnamdi Azikiwe University, Awka, NigeriaIn production, manufacturing and several other allied industries, appropriate tool is applied in the analysis of data in order to enhance the opportunity for product and process optimization. A statistical tool that has successfully been used to achieve this goal is Response Surface Methodology (RSM). A recent trend in the modeling phase of RSM involves the use of semi-parametric regression models which are hybrids of the Ordinary Least Squares (OLS) and the Local Linear Regression (LLR) models. In this paper, we propose a modification in the current structure of the semi-parametric Model Robust Regression 2 (MRR2) with a view to improving its sensitivity to local trends and patterns in data. The proposed model is applied to two multiple response optimization problems from the literature. The results of goodness-of-fits and optimal solutions confirm that the proposed model performs better than the MRR2.http://hrcak.srce.hr/file/310575
collection DOAJ
language English
format Article
sources DOAJ
author Efosa Edionwe
J. I. Mbegbu
N. Ekhosuehi
H. O. Obiora-Ilouno
spellingShingle Efosa Edionwe
J. I. Mbegbu
N. Ekhosuehi
H. O. Obiora-Ilouno
An Improved Robust Regression Model for Response Surface Methodology
Croatian Operational Research Review
author_facet Efosa Edionwe
J. I. Mbegbu
N. Ekhosuehi
H. O. Obiora-Ilouno
author_sort Efosa Edionwe
title An Improved Robust Regression Model for Response Surface Methodology
title_short An Improved Robust Regression Model for Response Surface Methodology
title_full An Improved Robust Regression Model for Response Surface Methodology
title_fullStr An Improved Robust Regression Model for Response Surface Methodology
title_full_unstemmed An Improved Robust Regression Model for Response Surface Methodology
title_sort improved robust regression model for response surface methodology
publisher Croatian Operational Research Society
series Croatian Operational Research Review
issn 1848-0225
1848-9931
publishDate 2018-01-01
description In production, manufacturing and several other allied industries, appropriate tool is applied in the analysis of data in order to enhance the opportunity for product and process optimization. A statistical tool that has successfully been used to achieve this goal is Response Surface Methodology (RSM). A recent trend in the modeling phase of RSM involves the use of semi-parametric regression models which are hybrids of the Ordinary Least Squares (OLS) and the Local Linear Regression (LLR) models. In this paper, we propose a modification in the current structure of the semi-parametric Model Robust Regression 2 (MRR2) with a view to improving its sensitivity to local trends and patterns in data. The proposed model is applied to two multiple response optimization problems from the literature. The results of goodness-of-fits and optimal solutions confirm that the proposed model performs better than the MRR2.
url http://hrcak.srce.hr/file/310575
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