
Volume (53) Number 2 pp. 105-118
Kazuhiro Ozawa 1, Shinji Kuriki 2, Stanisław Mejza 3
1Department of Nursing, Gifu College of Nursing, Hashima, Gifu, 501-6295, Japan
2Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Naka-ku, Sakai, Osaka, 599-8531, Japan
3Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637Poznań, Poland
2Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Naka-ku, Sakai, Osaka, 599-8531, Japan
3Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637Poznań, Poland
Use of α-resolvable designs in the construction of two-factor experiments of split-plot type
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.
Keywords: α-resolvable designs, Affine α-resolvable designs, General balance property, Incomplete split-plot designs, Stratum efficiency factors
DOI: 10.1515/bile-2016-0008
For citation:
MLA | Ozawa, Kazuhiro, et al. "Use of α-resolvable designs in the construction of two-factor experiments of split-plot type." Biometrical Letters 53.2 (2016): 105-118. DOI: 10.1515/bile-2016-0008 |
APA | Ozawa, K., Kuriki, S., & Mejza, S. (2016). Use of α-resolvable designs in the construction of two-factor experiments of split-plot type. Biometrical Letters 53(2), 105-118 DOI: 10.1515/bile-2016-0008 |
ISO 690 | OZAWA, Kazuhiro, KURIKI, Shinji, MEJZA, Stanisław. Use of α-resolvable designs in the construction of two-factor experiments of split-plot type. Biometrical Letters, 2016, 53.2: 105-118. DOI: 10.1515/bile-2016-0008 |