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| Title: | A-最適試驗處理與對照處理比較之Diallel Crosses實驗
Families of A-Optimal Diallel Crosses for Test versus Control Comparisons |
| Authors: | 徐永豐
Hsu, Yung-Feng |
| Contributors: | 丁兆平
Ting, Chao-Ping
徐永豐
Hsu, Yung-Feng |
| Keywords: | A-optimality
efficiency
type S block design
type S0 block design
type S design |
| Date: | 2003 |
| Issue Date: | 2009-09-17 18:44:05 (UTC+8) |
| Abstract: | Diallel cross experiments for comparing p test lines with a control in the set up of block designs and completely randomized designs are investigated. Complete diallel crosses including all p(p+1)/2 distinct crosses are considered. Families of A-optimal and efficient type S0 block designs for p=2,3, and for p>=4, k=2 are obtained, and the construction methods are given. For p>=k>=3, and p>=4, a sufficient condition for type S0 block designs with the control line appearing tb times, where t>=1 is an integer, to be A-optimal is obtained, and families of A-optimal type S0 block designs are provided. The A-optimality of type S designs under the model of completely randomized designs when 2<=p<=6 is also tudied, and some examples are given. |
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| Description: | 博士
國立政治大學
統計研究所
86354504
92 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0086354504 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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