Biometrical Letters vol. 46(2), 2009, pp. 153-162


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REPEATED YOUDEN SQUARES WITH SUBPLOT TREATMENTS
IN A PROPER INCOMPLETE BLOCK DESIGN

Shinji Kuriki1, Stanisław Mejza2, Iwona Mejza2, Danuta Kachlicka2

1Department of Mathematical Sciences, Graduate School of Engineering, Osaka
Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan,
e-mail: kuriki@ms.osakafu-u.ac.jp
2Department of Mathematical and Statistical Methods, Poznań University of Life
Sciences, Wojska Polskiego 28, 60-637 Poznań, Poland, e-mail: smejza@up.poznan.pl


This paper deals with a new construction method for row-column designs with split units for two-factor experiments. The whole-plot treatments occur in a repeated Youden square. The subplot treatments occur on subplots in a proper incomplete block design. The statistical properties of the final design are examined.


BIB design, efficiency-balanced block design, general balance, row-column design, Youden square