Table 6. Wheat data.

	Posterior Mean of ${\widehat{\Sigma }}_t$				Posterior SD of ${\widehat{\Sigma }}_t$
	DTHD	GNDVI	GRYLD	PTHT	DTHD	GNDVI	GRYLD	PTHT
DTHD	16.172	0.028	−0.413	−4.505	0.696	0.002	0.047	0.619
GNDVI	0.7348	0.000	0.000	−0.010	—	0.000	0.000	0.002
GRYLD	−0.386	−0.19	0.071	0.111	—	—	0.008	0.061
PTHT	−0.386	−0.35	0.144	8.442	—	—	—	1.023
	Posterior Mean of ${\widehat{R}}_e$				Posterior SD of ${\widehat{R}}_e$
	DTHD	GNDVI	GRYLD	PTHT	DTHD	GNDVI	GRYLD	PTHT
DTHD	0.523	−0.003	0.112	0.606	0.214	0.001	0.035	0.393
GNDVI	−0.453	0.000	0.000	−0.002	—	0.000	0.000	0.002
GRYLD	0.569	−0.192	0.074	0.561	—	—	0.008	0.077
PTHT	0.215	−0.048	0.530	15.214	—	—	—	1.327
	Posterior Mean of ${\widehat{\Sigma }}_E$				Posterior SD of ${\widehat{\Sigma }}_E$
	Bed2IR	Bed5IR	Bed5IR		Bed2IR	Bed5IR	Bed5IR
	0.461	1.326	0.014	—	0.076	0.189	0.020	—
	Posterior Mean of $\widehat{\mathit{\beta }}$				Posterior SD of $\widehat{\mathit{\beta }}$
	DTHD	GNDVI	GRYLD	PTHT	DTHD	GNDVI	GRYLD	PTHT
Bed2IR	−3.202	−4.061	−0.312	−0.004	0.227	0.233	0.223	0.001
Bed5IR	−0.011	0.006	−0.135	−0.341	0.001	0.001	0.023	0.024
Drip	−0.407	−4.595	−7.368	−0.576	0.023	0.292	0.295	0.291
	Correlation in the Entire Data				MSPE in the Entire Data
	DTHD	GNDVI	GRYLD	PTHT	DTHD	GNDVI	GRYLD	PTHT
Bed2IR	0.999	0.930	0.906	0.906	0.115	0.000	0.018	10.187
Bed5IR	0.998	0.943	0.885	0.666	0.227	0.000	0.059	8.284
Drip	0.992	0.908	0.873	0.871	0.352	0.000	0.069	13.839

Posterior mean and SD of the β coefficients ($\widehat{\mathit{\beta }}$) for four traits (DTHD, GNDVI, GRYLD, and PTHT) in three environments (Bed2I, Bed5I, and Drip). Estimated variance–covariance components for traits (${\widehat{\Sigma }}_t$) and for residual (${\widehat{R}}_e$). In ${\widehat{\Sigma }}_t$, and ${\widehat{R}}_e$ the upper triangle contains the variance–covariance components and the lower triangle contains the correlations.