Table 1.
Deviance and likelihood ratio test (LRT) for number of days to maturity (DM), 100-seed weight (SW) (grams), and average seed yield per plot (SY) (grams) evaluated in 203 soybean F2:4 progeny for single-trait multi-environment (FSTME) frequentist analysis.
Table 2.
Akaike information criteria for the full model and deviance information criteria for the full (considering genotype and G × E interaction effects) and reduced [disregarding the genotype (−prog) and interaction (−int) effects] models for number of days to maturity (DM), 100-seed weight (SW) (grams), and average seed yield per plot (SY) (grams) via frequentist and Bayesian single-trait multi-environment (FSTME and BSTME) and multi-trait multi-environment (FMTME and BMTME) models.
Table 3.
Estimates of variance components and genetic and non-genetic parameters for number of days to maturity (DM), 100-seed weight (SW) (grams), and average seed yield per plot (SY) (grams) evaluated in 203 soybean F2:4 progeny via frequentist single-trait multi-environment (FSTME) and multi-trait multi-environment (FMTME) and Bayesian single-trait multi-environment (BSTME) and multi-trait multi-environment (BMTME) models.
Table 4.
Posterior inferences for mode, mean, median, and higher posterior density (HPD) interval of the broad-sense heritability per plot, considering the proposed Bayesian single-trait multi-environment (BSTME) and multi-trait multi-environment (BMTME) models for number of days to maturity (DM), 100-seed weight (SW) (grams), and average seed yield per plot (SY) (grams).
Fig 1.
Posterior density for the Bayesian single-trait multi-environment (BSTME) (top) and multi-trait multi-environment (BMTME) (bottom) models of the broad-sense heritability per plot for number of days to maturity (DM). The solid color represents the posterior density of 95% intervals and the solid vertical line indicates the mean.
Fig 2.
Posterior density for the Bayesian single-trait multi-environment (BSTME) (top) and multi-trait multi-environment (BMTME) (bottom) models of the broad-sense heritability per plot for 100-seed weight (SW; grams). The solid color represents the posterior density of 95% intervals and the solid vertical line indicates the mean.
Fig 3.
Posterior density for the Bayesian single-trait multi-environment (BSTME) (top) and multi-trait multi-environment (BMTME) (bottom) models of the broad-sense heritability per plot for average seed yield per plot (SY; grams). The solid color represents the posterior density of 95% intervals and the solid vertical line indicates the mean.
Table 5.
Genetic correlations between number of days to maturity (DM), 100-seed weight (SW) (grams), and average seed yield per plot (SY) (grams) evaluated in 203 soybean F2:4 progeny via frequentist single-trait multi-environment (FSTME) and multi-trait multi-environment (FMTME) and Bayesian single-trait multi-environment (BSTME) and multi-trait multi-environment (BMTME) models.
Table 6.
Predicted selection gain, agreement, and Spearman rank correlation in the selection of the 30 best soybean progeny via frequentist (FSTME and FMTME) and Bayesian (BSTME and BMTME) models for number of days to maturity (DM), 100-seed weight (SW; grams), and average seed yield per plot (SY; grams) evaluated in 203 soybean F2:4 progeny.
Table 7.
Order, progeny (Prog), breeding value (u+g), and Additive Genetic Index (AGI) of the 30 progeny selected simultaneously via frequentist single-trait multi-environment (FSTME) and multi-trait multi-environment (FMTME) models for number of days to maturity (DM), 100-seed weight (SW; grams), and average seed yield per plot (SY; grams) evaluated in 203 soybean F2:4 progeny.
Table 8.
Order, progeny (Prog), breeding value (u+g), and Additive Genetic Index (AGI) of the 30 progeny selected simultaneously via Bayesian single-trait multi-environment (BSTME) and multi-trait multi-environment (BMTME) models for number of days to maturity (DM), 100-seed weight (SW; grams), and average seed yield per plot (SY; grams) evaluated in 203 soybean F2:4 progeny.