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.
| Identifer | oai:union.ndltd.org:CHENGCHI/G0086354504 |
| Creators | 徐永豐, Hsu, Yung-Feng |
| Publisher | 國立政治大學 |
| Source Sets | National Chengchi University Libraries |
| Language | 英文 |
| Detected Language | English |
| Type | text |
| Rights | Copyright © nccu library on behalf of the copyright holders |
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