Biometrical Letters Vol. 53(2), 2016, pp. 105-118


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USE OF α-RESOLVABLE DESIGNS IN THE CONSTRUCTION OF TWO-FACTOR
EXPERIMENTS OF SPLIT-PLOT TYPE

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, Poznań University of Life Sciences
Wojska Polskiego 28, 60-637 Poznań, Poland, e-mail: smejza@up.poznan.pl


We consider an incomplete split-plot design (ISPD) with two factors generated by the semi-Kronecker product of two α-resolvable designs. We use an α-resolvable design for the whole plot treatments and an affine α-resolvable design for the subplot treatments. We characterize the ISPDs with respect to the general balance property, and we give the stratum efficiency factors for the ISPDs.


α-resolvable designs, Affine α-resolvable designs, General balance property, Incomplete split-plot designs, Stratum efficiency factors