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

Kazuhiro Ozawa; Shinji Kuriki; Stanisław Mejza

Biometrical Letters (2016)

  • Volume: 53, Issue: 2, page 105-118
  • ISSN: 1896-3811

Abstract

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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.

How to cite

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Kazuhiro Ozawa, Shinji Kuriki, and Stanisław Mejza. "Use ofα-resolvable designs in the construction of two-factor experiments of split-plot type." Biometrical Letters 53.2 (2016): 105-118. <http://eudml.org/doc/287087>.

@article{KazuhiroOzawa2016,
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.},
author = {Kazuhiro Ozawa, Shinji Kuriki, Stanisław Mejza},
journal = {Biometrical Letters},
keywords = {α-resolvable designs; Affine α-resolvable designs; General balance property; Incomplete split-plot designs; Stratum efficiency factors},
language = {eng},
number = {2},
pages = {105-118},
title = {Use ofα-resolvable designs in the construction of two-factor experiments of split-plot type},
url = {http://eudml.org/doc/287087},
volume = {53},
year = {2016},
}

TY - JOUR
AU - Kazuhiro Ozawa
AU - Shinji Kuriki
AU - Stanisław Mejza
TI - Use ofα-resolvable designs in the construction of two-factor experiments of split-plot type
JO - Biometrical Letters
PY - 2016
VL - 53
IS - 2
SP - 105
EP - 118
AB - 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.
LA - eng
KW - α-resolvable designs; Affine α-resolvable designs; General balance property; Incomplete split-plot designs; Stratum efficiency factors
UR - http://eudml.org/doc/287087
ER -

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