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Some optimal block designs with nested rows and columns for research on alternative methods of limiting slug damage

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Abstract

Some criteria of optimality of a block design with nested rows and columns are considered. The criteria are based on the eigenvalues of the information matrix C or on the eigenvalues of the matrix C with respect to a diagonal matrix R of treatment replications. New constructions of some optimal block designs with nested rows and columns are presented for application to special plant protection experiments.

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Authors and Affiliations

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

    Agnieszka Łacka & Maria Kozłowska

  2. Institute of Plant Protection, NRI, W. Wegorka 20, 60-318, Poznan, Poland

    Jan Kozłowski

Authors
  1. Agnieszka Łacka
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  2. Maria Kozłowska
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  3. Jan Kozłowski
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Correspondence to Agnieszka Łacka.

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Łacka, A., Kozłowska, M. & Kozłowski, J. Some optimal block designs with nested rows and columns for research on alternative methods of limiting slug damage. Stat Papers 50, 837–846 (2009). https://doi.org/10.1007/s00362-009-0258-0

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  • DOI: https://doi.org/10.1007/s00362-009-0258-0

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