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

Kazuhiro OzawaShinji KurikiStanisław Mejza — 2016

Biometrical Letters

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.

Control treatments in designs with split units generated by Latin squares

Shinji KurikiIwona MejzaKazuhiro OzawaStanisław Mejza — 2014

Biometrical Letters

This paper deals with two-factor experiments with split units. The whole plot treatments occur in a repeated Latin square, modified Latin square or Youden square, while subplot treatments occur in a block design within the whole plots. The statistical properties of the considered designs are examined. Special attention is paid to the case where one of the treatments is an individual control or an individual standard treatment. In addition, we give a brief overview of work on the design of experiments...

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