| Project/Area Number |
09044088
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| Research Category |
Grant-in-Aid for international Scientific Research
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| Allocation Type | Single-year Grants |
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| Section | Joint Research |
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| Research Field |
Statistical science
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
KAGEYAMA Sampei Hiroshima University, Faculty of School Eduction Professor, 学校教育学部, 教授 (70033892)
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| Co-Investigator(Kenkyū-buntansha) |
MEIZA S. ポズナニ農業大学, 教授
JIMBO Masakazu Keio Uhiversity, Faculty of Science and Technology Professor, 理工学部, 教授 (50103049)
FUJIKOSHI Yasunori Hiroshima University, Faculty of Science Professor, 理学部, 教授 (40033849)
KUWADA Masahide Hiroshima University, Faculty of Integrated Arts and Sciences Professor, 総合科学部, 教授 (10144891)
SHOHOJI Takao Hiroshima University, Faculty of Integrated Arts and Sciences Professor, 総合科学部, 教授 (00033910)
MEJZA Stanislaw Agricultural University of Poznan'Professor
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| Project Period (FY) |
1997
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| Keywords | Experimental Design / Block Design / Randomization / Statistical Model / Mixed Model / Analysis of Variance / Statistical Science / Combinatorial Theory |
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| Research Abstract |
The head investigator and 6 investigators prepare 42 papers for the period in 1997 to 1998 related to the topics in the project. To derive a unified theory for analysis in designs with reference to its applications, several results below related to the present topic are also obtained. In fact, seven articles are prepared under the project.
(1) The presentation of unified treatment of model building by use of a principle of randomization.
(2) The derivation of statistical justification of proper block designs, based on (1).
(3) The introduction of randomization into non-proper block designs and its statistical justification, based on (1).
(4) Classification of designs depending on the number of efficiency factors and their constructions, based on the results of (1), (2) and (3).
(5) The characterization of comnbinatorial properties of some nested balanced incomplete block designs, and the optimality and construction of split-block designs
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