| dc.contributor.advisor | 蔡風順 | zh_TW |
| dc.contributor.advisor | Chai, Feng Shun | en_US |
| dc.contributor.author (Authors) | 黃建中 | zh_TW |
| dc.contributor.author (Authors) | Hwang, Chien Chung | en_US |
| dc.creator (作者) | 黃建中 | zh_TW |
| dc.creator (作者) | Hwang, Chien Chung | en_US |
| dc.date (日期) | 1994 | en_US |
| dc.date.accessioned | 29-Apr-2016 16:32:01 (UTC+8) | - |
| dc.date.available | 29-Apr-2016 16:32:01 (UTC+8) | - |
| dc.date.issued (上傳時間) | 29-Apr-2016 16:32:01 (UTC+8) | - |
| dc.identifier (Other Identifiers) | B2002003895 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/88727 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系 | zh_TW |
| dc.description (描述) | 80155003 | zh_TW |
| dc.description.abstract (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。 | zh_TW |
| dc.description.abstract (摘要) | 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). | en_US |
| dc.description.tableofcontents | ACKNOWLEDGMENTS-----ii CONTENTS-----iii ABSTRACT-----iv SECTION 1.INTRODUCTION-----1 2.NOTATION AND PRELIMINARY RESULTS-----2 3.MAIN RESULTS-----9 4.REFERENCES-----16 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002003895 | en_US |
| dc.subject (關鍵詞) | 趨勢消除 | zh_TW |
| dc.subject (關鍵詞) | 相異表法組合 | zh_TW |
| dc.subject (關鍵詞) | 全體最佳化 | zh_TW |
| dc.subject (關鍵詞) | 部份分枝不完全區塊設計 | zh_TW |
| dc.subject (關鍵詞) | elimination of trend effect | en_US |
| dc.subject (關鍵詞) | system of distinct representatives | en_US |
| dc.subject (關鍵詞) | universal optimality | en_US |
| dc.subject (關鍵詞) | PBIB design | en_US |
| dc.subject (關鍵詞) | GD designs | en_US |
| dc.subject (關鍵詞) | Block designs | en_US |
| dc.title (題名) | 無趨勢PBIB設計的建構和最佳化性質 | zh_TW |
| dc.title (題名) | Construction and Optimality of Trend-free Versions of PBIB Designs | en_US |
| dc.type (資料類型) | thesis | en_US |
