An optimal selection of two-level regular single arrays for robust parameter experiments

作者：Ren, Junbai; Li, Peng; Zhang, Runchu^*

来源：Journal of Statistical Planning and Inference, 2012, 142(11): 3037-3046.

DOI：10.1016/j.jspi.2012.04.011

• Aliased effect-number pattern
• Cross array
• Effect hierarchy principle
• General minimum lower order confounding
• Robust parameter designs
• Single array

Efforts have been made in the literature to find optimal single arrays which work best for the robust parameter experiments. However, examples show that in many cases the optimal designs obtained by the existing criteria cloud not attain the maximum number of clear interested effects for robust parameter experiments. In this paper, through a similar way of Zhang et al. (2008) (ZLZA, in short), an aliasing pattern to measure the confounding between the interested effects and other effects for the case of robust parameter designs is introduced. A new criterion for selecting optimal two-level regular single arrays is proposed. In the consideration of the criterion, two rank-orders of effects are suggested: one is based on the interest of experimenters and the other is under the usual effect hierarchy principle. The optimal designs are tabulated in the appendix.

• 出版日期2012-11
• 单位江西财经大学; 东北师范大学; 首都师范大学; 南开大学