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A comparison between Joint Regression Analysis and the Additive Main and Multiplicative Interaction model: the robustness with increasing amounts of missing data Scientia Agricola
Rodrigues,Paulo Canas; Pereira,Dulce Gamito Santinhos; Mexia,João Tiago.
This paper joins the main properties of joint regression analysis (JRA), a model based on the Finlay-Wilkinson regression to analyse multi-environment trials, and of the additive main effects and multiplicative interaction (AMMI) model. The study compares JRA and AMMI with particular focus on robustness with increasing amounts of randomly selected missing data. The application is made using a data set from a breeding program of durum wheat (Triticum turgidum L., Durum Group) conducted in Portugal. The results of the two models result in similar dominant cultivars (JRA) and winner of mega-environments (AMMI) for the same environments. However, JRA had more stable results with the increase in the incidence rates of missing values.
Tipo: Info:eu-repo/semantics/article Palavras-chave: AMMI models; Genotype by environment interaction; Joint regression analysis; Missing values; Durum wheat.
Ano: 2011 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-90162011000600012
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A weighted AMMI algorithm for nonreplicated data PAB
Assis,Tatiana Oliveira Gonçalves de; Dias,Carlos Tadeu dos Santos; Rodrigues,Paulo Canas.
Abstract: The objective of this work was to propose a weighting scheme for the additive main effects and multiplicative interactions (AMMI) model, as well as to assess the usefulness of this W-AMMI model in the study of genotype x environment interaction (GxE) and quantitative trait locus x environment interaction (QxE) for nonreplicated data. Data from the 'Harrington' x TR306 barley (Hordeum vulgare) mapping population, with 141 genotypes evaluated in 25 environments, were used to compare the results from the AMMI model with those of two proposed versions of the W-AMMI model: equal weights per row and equal weights per column. The proposed W-AMMI columns algorithm is viable to analyze data with heterogeneous variance, when there are no replicates...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Hordeum vulgare; Contaminated data; Genotype-by-environment interaction; Missing data; Outliers; QTL detection.
Ano: 2018 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-204X2018000500557
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Analyzing genotype-by-environment interaction using curvilinear regression Scientia Agricola
Pereira,Dulce Gamito Santinhos; Rodrigues,Paulo Canas; Mejza,Iwona; Mejza,Stanislaw; Mexia,João Tiago.
In the context of multi-environment trials, where a series of experiments is conducted across different environmental conditions, the analysis of the structure of genotype-by-environment interaction is an important topic. This paper presents a generalization of the joint regression analysis for the cases where the response (e.g. yield) is not linear across environments and can be written as a second (or higher) order polynomial or another non-linear function. After identifying the common form regression function for all genotypes, we propose a selection procedure based on the adaptation of two tests: (i) a test for parallelism of regression curves; and (ii) a test of coincidence for those regressions. When the hypothesis of parallelism is rejected,...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Scheffé multiple comparison method; Joint regression analysis; Test for parallelism; Test of coincidence.
Ano: 2012 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-90162012000600003
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