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

Kazuhiro Ozawa; Shinji Kuriki; Stanisław Mejza

doi:10.1515/bile-2016-0008

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

Biometrical Letters

Volume 53 (2016): Issue 2 (December 2016)

By: Kazuhiro Ozawa, Shinji Kuriki and Stanisław Mejza

Open Access

|Dec 2016

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.

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Articles in this issue

DOI: https://doi.org/10.1515/bile-2016-0008 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811

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Language: English

Page range: 105 - 118

Published on: Dec 10, 2016

Published by: Polish Biometric Society

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

α-resolvable designs,

Affine α-resolvable designs,

General balance property,

Incomplete split-plot designs,

Stratum efficiency factors

Related subjects:

Life sciences,

Bioinformatics,

Life sciences, other,

Mathematics,

Probability and statistics,

Applied mathematics

© 2016 Kazuhiro Ozawa, Shinji Kuriki, Stanisław Mejza, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 53 (2016): Issue 2 (December 2016)