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An Evaluation of Error Variance Bias in Spatial Designs

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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.

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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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Authors and Affiliations

  1. Statistical Consulting Unit, Australian National University, Canberra, ACT, 2601, Australia

    Emlyn R. Williams

  2. Biostatistics Unit, Institute of Crop Science, University of Hohenheim, 70593, Stuttgart, Germany

    Hans-Peter Piepho

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  1. Emlyn R. Williams
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  2. Hans-Peter Piepho
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Correspondence to Emlyn R. Williams.

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Williams, E.R., Piepho, HP. An Evaluation of Error Variance Bias in Spatial Designs. JABES 23, 83–91 (2018). https://doi.org/10.1007/s13253-017-0309-2

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  • DOI: https://doi.org/10.1007/s13253-017-0309-2

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