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Optimality and efficiency of incomplete split-block designs |
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| Authors: | Kazuhiro Ozawa Masakazu Jimbo Sanpei Kageyama Stanis?aw Mejza |
| Institution: | (1) Department of Information Science, Gifu University, Gifu 501-1193, Japan (e-mail: ozawa@info.gifu-u.ac.jp), JP;(2) Department of Mathematics, Keio University, Yokohama 223-8522, Japan (e-mail: jimbo@math.keio.ac.jp), JP;(3) Department of Mathematics, Hiroshima University, Higashi-Hiroshima 739-8524, Japan (e-mail: ksanpei@sed.hiroshima-u.ac.jp), JP;(4) Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Poland (e-mail: smejza@owl.au.poznan.pl), PL |
| Abstract: | In this paper, a balanced incomplete split-block design (BISBD) is shown to be universally optimum for the estimation of the interaction effects with respect to each of the intra-plot stratum estimation and the GLSE. Furthermore, the efficiency factor of an optimal design is investigated. |
| Keywords: | AMS subject classification: 05B05 62K10 |
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