Table 4 Maize data
CorrelationMSPE
BMTMEEnvironment–TraitMeanSERankaMeanSERank
E1-Yield0.280.0730.740.083.00
E2-Yield0.400.091.50.390.062.50
E3-Yield0.370.082.50.020.011.50
E1-ASI0.390.0820.370.031.50
UnstructuredE2-ASI0.460.062.51.260.353.00
E3-ASI0.420.0520.010.001.50
E1-PH0.370.0620.860.073.00
E2-PH0.260.0830.480.073.00
E3-PH0.440.072.50.020.002.00
Average0.370.072.330.460.082.33
E1-Yield0.300.071.50.730.072.00
E2-Yield0.400.081.50.360.031.00
E3-Yield0.370.052.50.850.073.00
E1-ASI0.400.0910.390.063.00
DiagonalE2-ASI0.460.062.51.250.352.00
E3-ASI0.270.0830.480.073.00
E1-PH0.360.0730.020.011.00
E2-PH0.410.0610.010.001.00
E3-PH0.440.062.50.020.002.00
Average0.380.072.060.460.082.00
E1-Yield0.300.071.50.720.071.00
E2-Yield0.390.0930.390.062.50
E3-Yield0.380.0810.020.011.50
E1-ASI0.380.0830.370.031.50
StandardE2-ASI0.480.0611.240.351.00
E3-ASI0.430.0510.010.001.50
E1-PH0.390.0610.840.062.00
E2-PH0.270.0820.470.072.00
E3-PH0.450.0710.020.002.00
Average0.390.071.610.450.071.67
  • 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.

  • a Since 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.