Statistical analysis of yield trials by AMMI analysis of genotype × environment interaction

Kuang Hongyu; Marisol García-Peña; Lúcio Borges de Araújo; Carlos Tadeu dos Santos Dias

Biometrical Letters (2014)

  • Volume: 51, Issue: 2, page 89-102
  • ISSN: 1896-3811

Abstract

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The genotype by environment interaction (GEI)) has an influence on the selection and recommendation of cultivars. The aim of this work is to study the effect of GEI and evaluate the adaptability and stability of productivity (kg/ha) of nine maize genotypes using AMMI model (Additive Main effects and Multiplicative Interaction). The AMMI model is one of the most widely used statistical tools in the analysis of multiple-environment trials. It has two purposes, namely understanding complex GEI and increasing accuracy. Nevertheless, the AMMI model is a widely used tool for the analysis of multiple-environment trials, where the data are represented by a two-way table of GEI means. In the complete tables, least squares estimation for the AMMI model is equivalent to fitting an additive two-way ANOVA model for the main effects and applying a singular value decomposition to the interaction residuals. It assumes equal weights for all GEI means implicitly. The experiments were conducted in twenty environments, and the experimental design was a randomized complete block design with four repetitions. The AMMI model identified the best combinations of genotypes and environments with respect to the response variable. This paper concerns a basic and a common application of AMMI: yield-trial analysis without consideration of special structure or additional data for either genotypes or environments.

How to cite

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Kuang Hongyu, et al. "Statistical analysis of yield trials by AMMI analysis of genotype × environment interaction." Biometrical Letters 51.2 (2014): 89-102. <http://eudml.org/doc/268873>.

@article{KuangHongyu2014,
abstract = {The genotype by environment interaction (GEI)) has an influence on the selection and recommendation of cultivars. The aim of this work is to study the effect of GEI and evaluate the adaptability and stability of productivity (kg/ha) of nine maize genotypes using AMMI model (Additive Main effects and Multiplicative Interaction). The AMMI model is one of the most widely used statistical tools in the analysis of multiple-environment trials. It has two purposes, namely understanding complex GEI and increasing accuracy. Nevertheless, the AMMI model is a widely used tool for the analysis of multiple-environment trials, where the data are represented by a two-way table of GEI means. In the complete tables, least squares estimation for the AMMI model is equivalent to fitting an additive two-way ANOVA model for the main effects and applying a singular value decomposition to the interaction residuals. It assumes equal weights for all GEI means implicitly. The experiments were conducted in twenty environments, and the experimental design was a randomized complete block design with four repetitions. The AMMI model identified the best combinations of genotypes and environments with respect to the response variable. This paper concerns a basic and a common application of AMMI: yield-trial analysis without consideration of special structure or additional data for either genotypes or environments.},
author = {Kuang Hongyu, Marisol García-Peña, Lúcio Borges de Araújo, Carlos Tadeu dos Santos Dias},
journal = {Biometrical Letters},
keywords = {genotype environment interaction (GEI); adaptability and stability; additive main effects and multiplicative interaction model; multienvironment trials},
language = {eng},
number = {2},
pages = {89-102},
title = {Statistical analysis of yield trials by AMMI analysis of genotype × environment interaction},
url = {http://eudml.org/doc/268873},
volume = {51},
year = {2014},
}

TY - JOUR
AU - Kuang Hongyu
AU - Marisol García-Peña
AU - Lúcio Borges de Araújo
AU - Carlos Tadeu dos Santos Dias
TI - Statistical analysis of yield trials by AMMI analysis of genotype × environment interaction
JO - Biometrical Letters
PY - 2014
VL - 51
IS - 2
SP - 89
EP - 102
AB - The genotype by environment interaction (GEI)) has an influence on the selection and recommendation of cultivars. The aim of this work is to study the effect of GEI and evaluate the adaptability and stability of productivity (kg/ha) of nine maize genotypes using AMMI model (Additive Main effects and Multiplicative Interaction). The AMMI model is one of the most widely used statistical tools in the analysis of multiple-environment trials. It has two purposes, namely understanding complex GEI and increasing accuracy. Nevertheless, the AMMI model is a widely used tool for the analysis of multiple-environment trials, where the data are represented by a two-way table of GEI means. In the complete tables, least squares estimation for the AMMI model is equivalent to fitting an additive two-way ANOVA model for the main effects and applying a singular value decomposition to the interaction residuals. It assumes equal weights for all GEI means implicitly. The experiments were conducted in twenty environments, and the experimental design was a randomized complete block design with four repetitions. The AMMI model identified the best combinations of genotypes and environments with respect to the response variable. This paper concerns a basic and a common application of AMMI: yield-trial analysis without consideration of special structure or additional data for either genotypes or environments.
LA - eng
KW - genotype environment interaction (GEI); adaptability and stability; additive main effects and multiplicative interaction model; multienvironment trials
UR - http://eudml.org/doc/268873
ER -

References

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