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Dual Designs and Their Application in Genetical Experiments |
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| Authors: | Dr P D Puri Dr A K Nigam Dr S Kageyama |
| Institution: | 1. Haryana Agricultural University, Hisar, India
P. D. Puri, Department of Mathematics & Statistics Haryana Agricultural University Hisar–125 004 India A. K. Nigam, Indian Agricultural Statistics Research Institute Library Avenue New Delhi–110 012 India S. Kageyama, Department of Mathematics Faculty of School Education Hiroshima University Shinonome, Hiroshima 734 Japan;2. Indian Agricultural Statistics Research Institute, India P. D. Puri, Department of Mathematics & Statistics Haryana Agricultural University Hisar–125 004 India A. K. Nigam, Indian Agricultural Statistics Research Institute Library Avenue New Delhi–110 012 India S. Kageyama, Department of Mathematics Faculty of School Education Hiroshima University Shinonome, Hiroshima 734 Japan;3. Hiroshima University, Japan P. D. Puri, Department of Mathematics & Statistics Haryana Agricultural University Hisar–125 004 India A. K. Nigam, Indian Agricultural Statistics Research Institute Library Avenue New Delhi–110 012 India S. Kageyama, Department of Mathematics Faculty of School Education Hiroshima University Shinonome, Hiroshima 734 Japan |
| Abstract: | The dual of incomplete block designs has been studied with th́eir applications in genetical experiments. Partial diallel crosses (PDC) of type I have been constructed using balanced incomplete block (BIB) designs, partially balanced incomplete block (PBIB) designs and their dual designs. Simplified analysis of PDC has been presented using the dual property of these designs. List of optimal PDC having simple analysis has been given. |
| Keywords: | Partial diallel cross BIB design PBIB design EB design PEB design S-PEB design |