Analyzing supersaturated designs with entropic measures

作者：Koukouvinos C^*; Massou E; Mylona K; Parpoula C

来源：Journal of Statistical Planning and Inference, 2011, 141(3): 1307-1312.

DOI：10.1016/j.jspi.2010.10.001

• Supersaturated design
• Factor screening
• Renyi entropy
• Tsallis entropy
• Havrda-Charvat entropy
• Information gain
• Generalized linear models
• Error rates

A supersaturated design is a design for which there are fewer runs than effects to be estimated. In this paper, we propose a method for screening out the important factors from a large set of potentially active variables, based on an information theoretical approach. Three entropy measures: Renyi entropy, Tsallis entropy and Havrda-Charvat entropy, have been associated with the measure of information gain, in order to identify the significant factors using data and assuming generalized linear models. The investigation of the proposed method performance and the comparison of each entropic measure application have been accomplished through simulation experiments. A noteworthy advantage of this paper is the use of generalized linear models for analyzing data from supersaturated designs, a fact that, to the best of our knowledge, has not yet been studied.

• 出版日期2011-3