<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We consider an incomplete split-plot design (ISPD) with two factors generated by the semi-Kronecker product of two <italic>α</italic>-resolvable designs. We use an <italic>α</italic>-resolvable design for the whole plot treatments and an affine <italic>α</italic>-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.</p></abstract>

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.

Use of <italic>α</italic>-resolvable designs in the construction of two-factor experiments of split-plot type

Department of Nursing, Gifu College of Nursing, Hashima, Gifu, 501-6295,

Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Naka-ku, Sakai, Osaka, 599-8531,

Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań,

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Use of -resolvable designs in the construction of two-factor experiments of split-plot type

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...

Use of α-resolvable designs in the construction of two-factor experiments of split-plot type

Published Online: Dec 10, 2016

Page range: 105 - 118

DOI: https://doi.org/10.1515/bile-2016-0008

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

© 2016 Kazuhiro Ozawa et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Use of α-resolvable designs in the construction of two-factor experiments of split-plot type

Published Online: Dec 10, 2016

Page range: 105 - 118

DOI: https://doi.org/10.1515/bile-2016-0008

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

© 2016 Kazuhiro Ozawa et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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