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Ds-optimal experimental plans for robust parameter design (Spanish text).

机译：稳健参数设计的Ds最佳实验计划（西班牙语）。

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摘要

This dissertation develops a methodology to obtain experimental plans for Parameter Design studies as an alternative to two classical approaches to the topic: Taguchi crossed designs and combined designs such as the central composite designs suggested by some western statisticians.; The dissertation includes firstly a discussion about the limitations that both types of designs present in some real-life industrial situations. The basic theory of D-Optimality and Ds-Optimality of experimental plans is then briefly presented, as it constitutes the basis for the designs that are proposed next.; The proposed procedure is based upon the formulation of an adequate model for control and noise factor effects in the response variable and the finding of optimal designs to estimate the relevant parameters of the model (Ds-Optimality). The model proposed is a generalisation of others proposed by some authors, including the possible presence of qualitative factors. The dissertation analyses the relevance of the different model parameters, depending on the criterion decision used.; An original methodology is presented to obtain in this framework continual Ds-optimal designs when all factors are quantitative. Using this methodology, designs have been obtained for the cases where there are two or three control factors, combined with one, two or three noise factors. Some regularities appearing in these optimal theoretical designs have been also researched.; Exact experimental plans with a small number of runs are also proposed for these cases as an alternative to classical designs. The comparison with previous ones results favourable to the new proposed designs.; The methodology is finally applied to obtain a D-s optimal experimental plan for a more complex actual industrial problem in a spot welding process, where the model for the response variable has six control factors and four noise factors, being some of these qualitative factors. Originally the problem was solved using a Taguchi crossed design. In this dissertation it was confirmed that using the proposed methodology a different design would have been obtained which could have improved both the efficacy and efficiency of the research with quite less effort.
机译：本论文开发了一种方法来获取参数设计研究的实验计划，以代替该主题的两种经典方法：田口交叉设计和组合设计，例如某些西方统计学家建议的中央复合设计。论文首先包括对两种设计在现实生活中的局限性的讨论。然后简要介绍了实验计划的D-最优性和Ds-最优性的基本理论，因为它构成了下一步提出的设计的基础。所提出的程序基于对响应变量中控制和噪声因素影响的适当模型的制定，以及发现最佳设计以估计模型的相关参数（DS-最佳性）。提出的模型是对某些作者提出的其他模型的概括，包括可能存在的定性因素。本文根据所采用的准则决策，分析了不同模型参数的相关性。提出了一种原始方法，可在所有因素均定量的情况下在此框架中获得连续的Ds优化设计。使用这种方法，已经针对存在两个或三个控制因子以及一个，两个或三个噪声因子的情况获得了设计。还研究了这些最佳理论设计中出现的一些规律。对于这些情况，还提出了少量运行的精确实验计划，作为经典设计的替代方案。与以前的比较结果有利于新提出的设计。该方法最终应用于点焊过程中更复杂的实际工业问题的D-s最优实验计划，其中响应变量模型具有六个控制因素和四个噪声因素，其中一些是定性因素。最初使用田口交叉设计解决了该问题。在本文中，可以肯定的是，使用所提出的方法将获得不同的设计，从而可以以更少的努力提高研究的效率和效率。

著录项

  • 作者

    Romero Zunica, Rafael.;

  • 作者单位

    Universidad Politecnica de Valencia (Spain).;

  • 授予单位 Universidad Politecnica de Valencia (Spain).;
  • 学科 Statistics.; Engineering General.
  • 学位 Dr.
  • 年度 2002
  • 页码 110 p.
  • 总页数 110
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 统计学;工程基础科学;
  • 关键词

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