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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/88727

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/88727

Title:	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
Authors:	黃建中 Hwang, Chien Chung
Contributors:	蔡風順 Chai, Feng Shun 黃建中 Hwang, Chien Chung
Keywords:	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
Date:	1994
Issue Date:	2016-04-29 16:32:01 (UTC+8)
Abstract:	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).
Description:	碩士國立政治大學應用數學系 80155003
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002003895
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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