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On nested block designs geometry

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Abstract

Nested block designs and block designs properties such as orthogonality, orthogonal block structure and general balance are examined using the concept of a commutative quadratic subspace and standard properties of orthogonal projectors. In this geometrical context conditions for existence of the best linear unbiased estimators of treatment contrasts are also discussed.

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Authors and Affiliations

  1. Poznań University of Life Sciences, Poznan, Poland

    Radosław Kala

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  1. Radosław Kala
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Correspondence to Radosław Kala.

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Dedicated to Professor Tadeusz Caliński for his 80th anniversary.

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Kala, R. On nested block designs geometry. Stat Papers 50, 805–815 (2009). https://doi.org/10.1007/s00362-009-0260-6

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  • DOI: https://doi.org/10.1007/s00362-009-0260-6

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