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Journal of Statistical Theory and Practice

, Volume 6, Issue 1, pp 204–219 | Cite as

A Method of Constructing Incomplete Split-Plot Designs Supplemented by Control Treatments and Their Analysis

Article

Abstract

We give a method of constructing incomplete split-plot designs supplemented by control treatments, using a modified Kronecker product of two resolvable designs. We use a resolvable design and a square lattice design for test treatments of wholeplots and subplots, respectively. We give the stratum efficiency factors for such incomplete split-plot designs, which have the general balance property.

AMS Subject Classification

62K15 62K10 05B05 

Keywords

Control treatments General balance property Incomplete split-plot designs Stratum efficiency factors Test treatments 

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Copyright information

© Grace Scientific Publishing 2012

Authors and Affiliations

  1. 1.Department of Mathematical and Statistical MethodsPoznań University of Life SciencesPoznańPoland
  2. 2.Department of Mathematical Sciences, Graduate School of EngineeringOsaka Prefecture UniversitySakaiJapan

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