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Optimal Complete Block Designs to Adjust for Interplot Competition with a Covariance Analysis
Author(s) -
David Olivier,
Monod Hervé,
Amoussou Joël
Publication year - 2000
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.2000.00389.x
Subject(s) - covariance , block (permutation group theory) , competition (biology) , analysis of covariance , computer science , block design , statistics , econometrics , mathematics , mathematical optimization , biology , combinatorics , ecology
Summary. Optimal complete block designs are given for variety trials with interplot competition. In the paper, competition is modeled using height differences between neighboring varieties. When variety heights are known at the design stage, a simulated annealing algorithm is proposed. The optimal designs tend to reduce height differences between neighboring varieties. When variety heights are not known in advance, neighbor‐balanced designs at distances 1 and 2 are shown to have optimality properties.