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An Evaluation of Error Variance Bias in Spatial Designs

Article

Abstract

Spatial design and analysis are widely used, particularly in field experimentation. However, it is often the case that spatial analysis does not significantly enhance more traditional approaches such as row–column analysis. It is then of interest to gauge the degree of error variance bias that accrues when a spatially designed experiment is analysed as a row–column design. This paper uses uniformity data to study error variance bias in \(7\times 12\) spatial designs for 21 treatments.

Keywords

Experimental design Row–column design Latin square Spatial design Linear variance Average efficiency factor Randomization 

Notes

Acknowledgements

We would like to thank two anonymous reviewers for their careful reading and constructive comments on an earlier version of this paper.

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Copyright information

© International Biometric Society 2017

Authors and Affiliations

  1. 1.Statistical Consulting UnitAustralian National UniversityCanberraAustralia
  2. 2.Biostatistics Unit, Institute of Crop ScienceUniversity of HohenheimStuttgartGermany

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