scholarly journals Genomic Bayesian Prediction Model for Count Data with Genotype × Environment Interaction

2016 ◽  
Vol 6 (5) ◽  
pp. 1165-1177 ◽  
Author(s):  
Abelardo Montesinos-López ◽  
Osval A. Montesinos-López ◽  
José Crossa ◽  
Juan Burgueño ◽  
Kent M. Eskridge ◽  
...  
2015 ◽  
Author(s):  
Abelardo Montesinos-Lopez ◽  
Osval Montesinos-Lopez ◽  
Jose Crossa ◽  
Juan Burgueno ◽  
Kent Eskridge ◽  
...  

Genomic tools allow the study of the whole genome and are facilitating the study of genotype-environment combinations and their relationship with the phenotype. However, most genomic prediction models developed so far are appropriate for Gaussian phenotypes. For this reason, appropriate genomic prediction models are needed for count data, since the conventional regression models used on count data with a large sample size (n) and a small number of parameters (p) cannot be used for genomic-enabled prediction where the number of parameters (p) is larger than the sample size (n). Here we propose a Bayesian mixed negative binomial (BMNB) genomic regression model for counts that takes into account genotype by environment (G × E) interaction. We also provide all the full conditional distributions to implement a Gibbs sampler. We evaluated the proposed model using a simulated data set and a real wheat data set from the International Maize and Wheat Improvement Center (CIMMYT) and collaborators. Results indicate that our BMNB model is a viable alternative for analyzing count data.


Author(s):  
Osval Antonio Montesinos López ◽  
Abelardo Montesinos López ◽  
Jose Crossa

AbstractIn this chapter, we explain, under a Bayesian framework, the fundamentals and practical issues for implementing genomic prediction models for categorical and count traits. First, we derive the Bayesian ordinal model and exemplify it with plant breeding data. These examples were implemented in the library BGLR. We also derive the ordinal logistic regression. The fundamentals and practical issues of penalized multinomial logistic regression and penalized Poisson regression are given including several examples illustrating the use of the glmnet library. All the examples include main effects of environments and genotypes as well as the genotype × environment interaction term.


2017 ◽  
Vol 7 (6) ◽  
pp. 1833-1853 ◽  
Author(s):  
Osval A. Montesinos-López ◽  
Abelardo Montesinos-López ◽  
José Crossa ◽  
José Cricelio Montesinos-López ◽  
Francisco Javier Luna-Vázquez ◽  
...  

1973 ◽  
Vol 36 (3) ◽  
pp. 471-475 ◽  
Author(s):  
T. R. Batra ◽  
W. R. Usborne ◽  
D. G. Grieve ◽  
E. B. Burnside

2020 ◽  
Vol 15 (1) ◽  
pp. 56-64
Author(s):  
Irina Manukyan ◽  
◽  
Madina Basieva ◽  
Elena Miroshnikova ◽  
◽  
...  

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