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https://ah.lib.nccu.edu.tw/handle/140.119/33888| 題名: | 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 |
作者: | 徐永豐 Hsu, Yung-Feng |
貢獻者: | 丁兆平 Ting, Chao-Ping 徐永豐 Hsu, Yung-Feng |
關鍵詞: | A-optimality efficiency type S block design type S0 block design type S design |
日期: | 2003 | 上傳時間: | 17-Sep-2009 | 摘要: | 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. | 參考文獻: | Bechhofer, R.E., Tamhane, A.C. (1981). Incomplete block designs for comparing treatments with a control: General theory, Technometrics 23, 45-57. Chai, F.S., Mukerjee, R. (1999). Optimal designs for diallel crosses with specific combining abilities, Biometrika 86, 453-458. Choi, K.C., Gupta, S, Kageyama, S. (2002). Designs for diallel crosses for test versus control comparisons. To appear in Utilitas Math. Cox, D.R. (1958). Planning of Experiments, Wiley, New York. Curnow, R. N. (1963). Sampling the diallel cross, Biometrics 19, 287-306. Das, A. (2002). Efficient Control-Test Designs for diallel cross experiments, isid/ms/2002/12, Indian Statistical Institute, India. Das, A., Dean, A.M., Gupta, S. (1998). On optimality of some partial diallel cross designs, Sankyuā B 60, 511-524. Das, A., Dey, A., Dean, A.M. (1998). Optimal designs for diallel cross experiments, Statist. Prob. Letters 36, 427-436. Das, A., Gupta, S., Kageyama, S. (2002). A-optimal diallel crosses for test versus control comparisons, isid/ms/2002/23, Indian Statistical Institute, India. Dey, A., Das U.S., Banerjee, A.K. (1986). Construction of nested balanced incomplete block designs, Calcutta Statist. Assoc.Bull. 35, 161-167. Dey, A., Midha, C.K. (1996). Optimal block designs for diallel crosses, Biometrika 83, 484-489. Finney, D. J. (1958b). Plant selection for yield improvement, Euphytica 7, 83-106. Gilbert, N. E. G. (1958). Diallel cross in plant breeding, Heredity 12, 477-492. Griffing, B. (1956). Concept of general and specific combining ability in relation to diallel crossing systems, Aust. J. Biol. Sci. 9, 463-493. Gupta, S. (1989). Efficient designs for comparing test treatments with a control treatment, Biometrika 76, 783-787. Gupta, S., Das, A., Kageyama, S. (1995). Single replicate orthogonal block designs for circulant partial diallel crosses, Commun. Statist. 24, 2601-2607. Gupta, S., Kageyama, S. (1994). Optimal complete diallel crosses, Biometrika 81, 420-424. Hedayat, A.S., Majumdar, D. (1984). A-optimal incomplete block designs for control-test treatment comparisons, Technometrics 26, 363-370. Hedayat, A.S., Majumdar, D. (1985). Families of A-optimal block designs for comparing test treatments with a control, Ann. Statist. 13, 757-767. Hinkelmann, K. (1975). Design of genetic experiments, In: J.N. Srivastava (Ed.), A Survey of Statistical Design and Linear Models, North-Holland, Amsterdam, pp. 243-269. Jacroux, M., Majumdar, D. (1989). Optimal block designs for comparing test treatments with a control when k > v, J. Statist. Plan. Infer. 23, 381-396. Kiefer, J. (1975). Constructions and optimality of generalized Youden Designs, In: J.N. Srivastava (Ed.), A Survey of Statistical Design and Linear Models, North-Holland, Amsterdam, pp. 333-353. Majumdar, D. (1996). Optimal and efficient treatment-control designs, In: S. Ghosh, C. R. Rao (Ed.), Handbook of Statistics 13, North-Holland, Amsterdam, pp. 1007-1053. Majumdar, D., Notz, W. (1983). Optimal incomplete block designs for comparing treatments with a control, Ann. Statist. 11, 258-266. Morgan, J.P., Preece, D.A., Rees, D.H. (2001). Nested balanced incomplete block designs, Discrete Mathematics 231, 351-389. Mukerjee, R. (1997). Optimal partial diallel crosses, Biometrika 84, 939-948. Preece D. A. (1967). Nested balanced incomplete block designs, Biometrika 54, 479-486. Singh, M., Hinkelmann, K. (1990). On generation of efficient partial diallel crosses plans, Biom. J. 32, 177-187. Yates, F. (1950). Recent applications of biometrical methods in genetics, Biometrics 6, 200-207. |
描述: | 博士 國立政治大學 統計研究所 86354504 92 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0086354504 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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