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https://ah.lib.nccu.edu.tw/handle/140.119/88727
題名: | 無趨勢PBIB設計的建構和最佳化性質 Construction and Optimality of Trend-free Versions of PBIB Designs |
作者: | 黃建中 Hwang, Chien Chung |
貢獻者: | 蔡風順 Chai, Feng Shun 黃建中 Hwang, Chien Chung |
關鍵詞: | 趨勢消除 相異表法組合 全體最佳化 部份分枝不完全區塊設計 elimination of trend effect system of distinct representatives universal optimality PBIB design GD designs Block designs |
日期: | 1994 | 上傳時間: | 29-Apr-2016 | 摘要: | 實驗設計中,我們假設在區塊中存在一趨勢效應(trend effect)。此趨勢效應影響觀察值,也影響我們對區塊效應(block effect)和處理效應(treatment effect)的估計。此種設計模式不同於一般的區塊設計模式,因此須將趨勢效應加人設計模式中。 Yeh and Bradley conjectured that every binary connected block design with blocks of size k and a constant replication numberr for each treatment can be converted to a linear trend-free design by permuting the positions of theatments within blocks if and only if r(k+1)≡0 (mod 2). Chai and Majumdar (1993) proved that any BIB design which satisfies r(k+1)≡0 (mod 2) is even can be converted to a linear trend-free design. In this thesis, we want to examine this conjecture is true or not for group-divisible designs (GD designs). |
描述: | 碩士 國立政治大學 應用數學系 80155003 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#B2002003895 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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