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A Joint Multiresponse Split-Plot Modeling and Optimization Including Fixed and Random Effects

Authors

  • Rossella Berni University of Florence Department of Statistics Computer Science Applications "G.Parenti"
  • Nedka Dechkova Nikiforova University of Florence Department of Statistics Computer Science Applications

Abstract

This paper deals with a proposal for joint modeling and process optimization for split-plot designs analyzed through mixed response surface models. It addresses the following main issues: i) the building of a joint mixed response
surface model for a multiple response situation, by defining only one response through which specific coefficients are
included for studying the association among the responses; ii) the considering of fixed as well as random effects within a joint modeling and optimization context; iii) the achievement of an optimal solution by involving specific as well as common coefficients for the responses. We illustrate our contribution through a case-study related to a split-plot design on electronic components of printed circuit boards (PCBs); we obtain satisfactory results by confirming the validity of this
contribution, where the qualitative factor PCB is also studied and optimized.

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How to Cite

Berni, R., & Nikiforova, N. D. . A Joint Multiresponse Split-Plot Modeling and Optimization Including Fixed and Random Effects. Austrian Journal of Statistics, 51(1), 83–101. Retrieved from https://ajs.or.at/index.php/ajs/article/view/1211