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Institute of Crop Science and Plant Breeding, Christian-Albrechts Univ. Kiel, Olshausenstrasse 40, D-24118 Kiel, Germany
* Corresponding author (Email: APP98{at}rz.uni-kiel.d400.de).
Cultivar performance trials are usually analyzed by analysis of variance techniques. In the field of practical applications, the required simplifying assumptions may often not be fulfilled. Nonparametric metbods based on ranks avoid this difficulty and provide a viable alternative to parametric procedures. The objective of this study was to compare four nonparametric procedures (Bredenkamp, Hildebrand, Kubinger, and van der Laan-de Kroon) and the parametric analysis of variance with each other for extensive data sets from German official registration trials (1985–1989) with winter oilseed rape (Brassica napus L.), fababean (Vicia faba L.), oat (Avena sativa L.), fodder beet (Beta vulgaris L.), and sugar beet (B. vulgaris). The van der Laan-de Kroon method is based on the crossover concept of interaction (different rank orders), while the other methods are based on the concept of deviations from additivity of main effects. The methods were compared using the numerical values of the test statistics. For the sources cultivars, locations, and interactions one obtains these relationships: ANOVA
Hildebrand
Kubinger > van der Laan-de Kroon > Bredenkamp. If the assumptions for parametric methods cannot be accepted, the van der Laan-de Kroon method is recommended for the crossover interaction concept, while the Hildebrand or Kubinger method (both of which are approximately equivalent) should be applied for the usual interaction concept. The Bredenkamp method cannot be recommended.
Received for publication February 12, 1994.
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