# 超飽和設計因子篩選方法比較

 dc.contributor 蔡碧紋 zh_TW dc.contributor Tsai, Pi-Wen en_US dc.contributor.author 謝逸安 zh_TW dc.contributor.author Hsieh, Yi-An en_US dc.date.accessioned 2019-09-05T01:06:06Z dc.date.available 2017-04-01 dc.date.available 2019-09-05T01:06:06Z dc.date.issued 2017 dc.description.abstract 近年來有許多學者對大量因子的實驗設計感興趣，但是這類實驗可能僅有少數真正重要的因子，採用完全因子設計或傳統的部分因子設計來配置實驗可能不利於成本的控制，此時就可以考慮使用超飽和設計來篩選因子。 本文首先討論超飽和設計的矩陣建構方法，包含Lin和Wu分別提出的折半法和交互法，並進行比較。接下來介紹逐步向前法、最小絕對值壓縮選擇法(LASSO)以及Dantzig selector三種分析分法應用在超飽和設計的因子篩選上。最後在不同的模擬條件設定下，引入重要因子挑選比比較三種因子篩選方法在超飽和設計表現的優劣，並應用於實例之中。 zh_TW dc.description.abstract In recent years, there are many scholars interested in experimental designs of a large number of factors, but such experiments may only have a few really important factors. It is detrimental to cost control if we using full factorial designs or traditional fractional factorial designs to construct these experiments, so we could consider using supersaturated designs in this situation to do factor screening. In this article, we first discuss the design matrix construction methods of supersaturated designs, including the split-half method and the interaction method proposed by Lin and Wu, and then compare with them. Next, we introduce forward stepwise selection, LASSO and Dantzig selector as three factor selection methods of supersaturated designs. Finally, we compare the three factor selection methods of supersaturated designs by important factor selection ratio under different simulation conditions, and applied it to real examples. en_US dc.description.sponsorship 數學系 zh_TW dc.identifier G060340022S dc.identifier.uri http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060340022S%22.&%22.id.& dc.identifier.uri http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101554 dc.language 中文 dc.subject 超飽和設計 zh_TW dc.subject 逐步向前法 zh_TW dc.subject 最小絕對值壓縮選擇法 zh_TW dc.subject 重要因子挑選比 zh_TW dc.subject Supersaturated Designs en_US dc.subject Forward Stepwise Selection en_US dc.subject LASSO en_US dc.subject Dantzig selector en_US dc.subject Important Factor Selection Ratio en_US dc.title 超飽和設計因子篩選方法比較 zh_TW

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