考慮效應邊際準則下的超飽和設計分析

• Main Authors: Chu, Yen-Yu, 朱彥羽
• Other Authors: 蔡碧紋
• Format: Others
• Language: zh-TW
• Published: 2016
• Online Access: http://ndltd.ncl.edu.tw/handle/76262553073807995517

碩士 === 國立臺灣師範大學 === 數學系 === 104 === Supersaturated designs are usually useful for screening experiments where the goal is to identify the few "active factors" among a potential list of design factors. The advantage of the supersaturated design is that it reduces costs by allowing using a smaller numbers of experimental runs to study many design factors. In this thesis, we consider the analysis of the supersaturated designs when the estimations of two-factor interactions as well as the main effects are of interest. We focus on the case where the number of parameters of the models containing main effects and interaction effects is greater than experimental run sizes. In this thesis we propose three analysis methods which take into account the functional marginality principle on the analysis of supersaturated designs, and compare the results with the forward selection with stimulation.