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Implication of correlations among some common stability statistics — a Monte Carlo simulations

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Abstract

Stability analysis of multilocation trials is often based on a mixed two-way model. Two stability measures in frequent use are the environmental variance (S 2 i )and the ecovalence (W i). Under the two-way model the rank orders of the expected values of these two statistics are identical for a given set of genotypes. By contrast, empirical rank correlations among these measures are consistently low. This suggests that the two-way mixed model may not be appropriate for describing real data. To check this hypothesis, a Monte Carlo simulation was conducted. It revealed that the low empirical rank correlation amongS 2 i and W i is most likely due to sampling errors. It is concluded that the observed low rank correlation does not invalidate the two-way model. The paper also discusses tests for homogeneity of S 2 i as well as implications of the two-way model for the classification of stability statistics.

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Authors and Affiliations

  1. University of Kassel, Steinstrasse 19, 37213, Witzenhausen, Germany

    H.-P. Piepho

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  1. H.-P. Piepho
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Communicated by P. M. A. Tigerstedt

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Piepho, HP. Implication of correlations among some common stability statistics — a Monte Carlo simulations. Theoret. Appl. Genetics 90, 457–461 (1995). https://doi.org/10.1007/BF00221990

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  • DOI: https://doi.org/10.1007/BF00221990

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