Biometrical Letters Vol. 54(2), 2017, pp. 123-135


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INCOMPLETE SPLIT-BLOCK DESIGNS CONSTRUCTED BY AFFINE
α-RESOLVABLE DESIGNS

Kazuhiro Ozawa1, Shinji Kuriki2, Stanisław Mejza3

1Department of Nursing, Gifu College of Nursing, Hashima, Gifu, 501-6295, Japan,
e-mail: ozawa@gifu-cn.ac.jp
2Department of Mathematical Sciences, Graduate School of Engineering, Osaka
Prefecture University, Naka-ku, Sakai, Osaka, 599-8531, Japan,
e-mail: kuriki@ms.osakafu-u.ac.jp
3Department of Mathematical and Statistical Methods, Poznan University of Life
Sciences, Wojska Polskiego 28, PL-60-637 Poznan, Poland,
e-mail: stanislaw.mejza@up.poznan.pl


We construct an incomplete split-block design (ISBD) by the semi-Kronecker product of two affine α-resolvable designs for row and column treatments. We characterize such ISBDs with respect to the general balance property and we give the stratum efficiency factors for the ISBDs.


affine -resolvable designs, incomplete split-block designs, general balance property, stratum efficiency factors