Table 4. Maize data.

		Correlation			MSPE
BMTME	Environment–Trait	Mean	SE	Ranka	Mean	SE	Rank
	E1-Yield	0.28	0.07	3	0.74	0.08	3.00
	E2-Yield	0.40	0.09	1.5	0.39	0.06	2.50
	E3-Yield	0.37	0.08	2.5	0.02	0.01	1.50
	E1-ASI	0.39	0.08	2	0.37	0.03	1.50
Unstructured	E2-ASI	0.46	0.06	2.5	1.26	0.35	3.00
	E3-ASI	0.42	0.05	2	0.01	0.00	1.50
	E1-PH	0.37	0.06	2	0.86	0.07	3.00
	E2-PH	0.26	0.08	3	0.48	0.07	3.00
	E3-PH	0.44	0.07	2.5	0.02	0.00	2.00
	Average	0.37	0.07	2.33	0.46	0.08	2.33
	E1-Yield	0.30	0.07	1.5	0.73	0.07	2.00
	E2-Yield	0.40	0.08	1.5	0.36	0.03	1.00
	E3-Yield	0.37	0.05	2.5	0.85	0.07	3.00
	E1-ASI	0.40	0.09	1	0.39	0.06	3.00
Diagonal	E2-ASI	0.46	0.06	2.5	1.25	0.35	2.00
	E3-ASI	0.27	0.08	3	0.48	0.07	3.00
	E1-PH	0.36	0.07	3	0.02	0.01	1.00
	E2-PH	0.41	0.06	1	0.01	0.00	1.00
	E3-PH	0.44	0.06	2.5	0.02	0.00	2.00
	Average	0.38	0.07	2.06	0.46	0.08	2.00
	E1-Yield	0.30	0.07	1.5	0.72	0.07	1.00
	E2-Yield	0.39	0.09	3	0.39	0.06	2.50
	E3-Yield	0.38	0.08	1	0.02	0.01	1.50
	E1-ASI	0.38	0.08	3	0.37	0.03	1.50
Standard	E2-ASI	0.48	0.06	1	1.24	0.35	1.00
	E3-ASI	0.43	0.05	1	0.01	0.00	1.50
	E1-PH	0.39	0.06	1	0.84	0.06	2.00
	E2-PH	0.27	0.08	2	0.47	0.07	2.00
	E3-PH	0.45	0.07	1	0.02	0.00	2.00
	Average	0.39	0.07	1.61	0.45	0.07	1.67

Mean and SE of the estimated correlations and MSPE from the 10-fold cross-validation CV1. The BMTME model was fitted using unstructured, diagonal, and standard variance–covariance matrices. Environment (E1, E2, E3)–trait (Yield, ASI, PH) combination.

^aSince three BMTME models are fitted (unstructured, diagonal, and standard) the values of the ranks ranged from 1 to 3, and the lower the values, the better the prediction accuracy. For ties, we assigned the average of the ranks that would have been assigned had there been no ties.