Academic Journal

Semiparametric approach for dual-response robust design with complex two-factor interactions.

Bibliographic Details
Title: Semiparametric approach for dual-response robust design with complex two-factor interactions.
Authors: Yang, Shijuan, Liu, Jinpei, Du, Pengcheng, Wu, Jiawei, Wan, Liangqi
Source: Quality Engineering; 2026, Vol. 38 Issue 2, p138-160, 23p
Subject Terms: Response surfaces (Statistics), Nonparametric estimation, Fault tolerance (Engineering), Statistical models, Mathematical optimization
Abstract: Most robust design studies based on parametric dual response surface (DRS) models often overlook the impact of model misspecification on optimization outcomes. Furthermore, while nonparametric methods avoid strict assumptions about model structure, they suffer from the curse of dimensionality in high-dimensional settings and may fail to incorporate valuable prior knowledge. To address these limitations, this study proposes a DRS model based on a semiparametric functional coefficient model (SFCM), which integrates parametric and nonparametric modeling techniques to mitigate model uncertainty. The key contribution of the SFCM-based DRS lies in its ability to represent interaction terms as functions of additional factors, thereby providing a flexible framework for analyzing dynamic and nonlinear interactions. Two case studies alongside a simulation study validate the efficacy of the proposed method in improving the quality of product or process. [ABSTRACT FROM AUTHOR]
Copyright of Quality Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Semiparametric approach for dual-response robust design with complex two-factor interactions.
– Name: Author
  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Yang%2C+Shijuan%22">Yang, Shijuan</searchLink><br /><searchLink fieldCode="AR" term="%22Liu%2C+Jinpei%22">Liu, Jinpei</searchLink><br /><searchLink fieldCode="AR" term="%22Du%2C+Pengcheng%22">Du, Pengcheng</searchLink><br /><searchLink fieldCode="AR" term="%22Wu%2C+Jiawei%22">Wu, Jiawei</searchLink><br /><searchLink fieldCode="AR" term="%22Wan%2C+Liangqi%22">Wan, Liangqi</searchLink>
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  Data: Quality Engineering; 2026, Vol. 38 Issue 2, p138-160, 23p
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Response+surfaces+%28Statistics%29%22">Response surfaces (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Nonparametric+estimation%22">Nonparametric estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Fault+tolerance+%28Engineering%29%22">Fault tolerance (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+models%22">Statistical models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Most robust design studies based on parametric dual response surface (DRS) models often overlook the impact of model misspecification on optimization outcomes. Furthermore, while nonparametric methods avoid strict assumptions about model structure, they suffer from the curse of dimensionality in high-dimensional settings and may fail to incorporate valuable prior knowledge. To address these limitations, this study proposes a DRS model based on a semiparametric functional coefficient model (SFCM), which integrates parametric and nonparametric modeling techniques to mitigate model uncertainty. The key contribution of the SFCM-based DRS lies in its ability to represent interaction terms as functions of additional factors, thereby providing a flexible framework for analyzing dynamic and nonlinear interactions. Two case studies alongside a simulation study validate the efficacy of the proposed method in improving the quality of product or process. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Quality Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/08982112.2025.2520989
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      – Code: eng
        Text: English
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        PageCount: 23
        StartPage: 138
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      – SubjectFull: Response surfaces (Statistics)
        Type: general
      – SubjectFull: Nonparametric estimation
        Type: general
      – SubjectFull: Fault tolerance (Engineering)
        Type: general
      – SubjectFull: Statistical models
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
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            NameFull: Yang, Shijuan
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            NameFull: Du, Pengcheng
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            NameFull: Wu, Jiawei
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            – D: 01
              M: 04
              Text: 2026
              Type: published
              Y: 2026
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