<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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 using the considered designs, as well as possible arrangements of controls in the experiments.</p></abstract>

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 using the considered designs, as well as possible arrangements of controls in the experiments.

Control treatments in designs with split units generated by Latin squares

Department of Mathematical Sciences, Graduate School of Engineering,Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan

Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, PL-60-637 Poznań, Poland

Department of Nursing, Gifu College of Nursing, Hashima, Gifu 501-6295, Japan

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Control treatments in designs with split units generated by Latin squares"}

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...

Control treatments in designs with split units generated by Latin squares

Published Online: Dec 20, 2014

Page range: 125 - 142

DOI: https://doi.org/10.2478/bile-2014-0009

Keywords
Latin square, Youden square, split units, efficiency factors, merging treatment method

© by Shinji Kuriki

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Control treatments in designs with split units generated by Latin squares

Published Online: Dec 20, 2014

Page range: 125 - 142

DOI: https://doi.org/10.2478/bile-2014-0009

KeywordsLatin square, Youden square, split units, efficiency factors, merging treatment method

© by Shinji Kuriki

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Latin square, Youden square, split units, efficiency factors, merging treatment method