Biometrical Letters

ISSN:1896-3811

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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

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