...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of applied statistics >Minimum cost linear trend-free 12-run fractional factorial designs
【24h】

Minimum cost linear trend-free 12-run fractional factorial designs

机译：最低成本的线性无趋势12次运行分数阶乘设计

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Time trend resistant fractional factorial experiments have often been based on regular fractionated designs where several algorithms exist for sequencing their runs in minimum number of factor-level changes (i.e. minimum cost) such that main effects and/or two-factor interactions are orthogonal to and free from aliasing with the time trend, which may be present in the sequentially generated responses. On the other hand, only one algorithm exists for sequencing runs of the more economical non-regular fractional factorial experiments, namely Angelopoulos et al. [1]. This research studies sequential factorial experimentation under non-regular fractionated designs and constructs a catalog of 8 minimum cost linear trend-free 12-run designs (of resolution Ⅲ) in 4 up to 11 two-level factors by applying the interactions-main effects assignment technique of Cheng and Jacroux [3] on the standard 12-run Plackett-Burman design, where factor-level changes between runs are minimal and where main effects are orthogonal to the linear time trend. These eight 12-run designs are non-orthogonal but are more economical than the linear trend-free designs of Angelopoulos et al. [1], where they can accommodate larger number of two-level factors in smaller number of experimental runs. These non-regular designs are also more economical than many regular trend-free designs. The following will be provided for each proposed systematic design: (1) The run order in minimum number of factor-level changes. (2) The total number of factor-level changes between the 12 runs (i.e. the cost). (3) The closed-form least-squares contrast estimates for all main effects as well as their closed-form variance-covariance structure. In addition, combined designs of each of these 8 designs that can be generated by either complete or partial foldover allow for the estimation of two-factor interactions involving one of the factors (i.e. the most influential).
机译：耐时间趋势的分数阶乘实验通常基于常规的分数设计，其中存在几种算法，可以按最小数量的因子级变化（即最小成本）对运行进行排序，以使主要影响和/或两因素交互作用与和正交。不会随时间趋势混叠，时间趋势可能出现在顺序生成的响应中。另一方面，只有一种算法可用于对更经济的非常规分数阶乘实验进行测序，即Angelopoulos等。 [1]。本研究研究了非规则分式设计下的顺序因子实验，并通过应用相互作用-主效应分配，构建了包含4个多达11个二级因子的8个最小成本线性无趋势12次运行设计（分辨率Ⅲ）的目录。 Cheng和Jacroux [3]在标准的12次运行Plackett-Burman设计中采用的技术，其中两次运行之间的因子级变化最小，并且主效应与线性时间趋势正交。这八个12轮设计是非正交的，但比Angelopoulos等人的线性无趋势设计更经济。 [1]，它们可以在较少的实验运行中容纳更多的两级因素。这些非常规设计也比许多常规无趋势设计更经济。将为每个建议的系统设计提供以下内容：（1）以最少数量的因子级更改的运行顺序。 （2）12次运行之间因子级更改的总数（即成本）。 （3）所有主要效应及其闭合形式方差-协方差结构的闭合形式最小二乘对比度估计。此外，可以通过完全或部分折叠生成的这8种设计中每一种的组合设计都可以估算涉及一个因素（即影响最大）的两因素相互作用。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号