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. 2023 Jul 24;14:1209275. doi: 10.3389/fgene.2023.1209275

TABLE 4.

Indica data. Count of the number of times a model was better than another in terms of Normalized Root Mean Squared Error (NRMSE), both by environments and by traits. Prediction accuracy in terms of NRMSE. b0 denotes the absolute values of the intercept and b denotes the absolute value of 1-slope. Under an ideal model both b0 and b should be equal to zero. Relative efficiency (RE) or each model in percentage was computed regarding model M0 without environmental covariates. When the percentage is positive there is a gain in prediction accuracy regarding M0, while when the percentage is negative there is a loss in terms of prediction accuracy of any model regarding M0.

Model Env Trait NRMSE NRMSE Cor Cor b0 b0 b b
Won % Won % RE (%) RE (%) RE (%) RE (%)
Models Models
M0 100 55.56 38 63.33 1.027 0.00 0.511 0.00 3,023.024 0.00 0.364 0.00
M1 83 46.11 24 40.00 1.041 −1.40 0.513 0.22 2,993.455 0.99 0.375 −2.99
M2 75 41.67 26 43.33 1.040 −1.25 0.510 −0.25 3,012.109 0.36 0.432 −15.89
M3 75 41.67 27 45.00 1.082 −5.16 0.514 0.41 2,754.294 9.76 0.333 9.29
M4 76 42.22 27 45.00 1.084 −5.26 0.512 0.19 2,731.500 10.67 0.372 −2.25
M5 81 45.00 20 33.33 1.121 −8.46 0.512 0.13 2,661.258 13.59 0.327 11.19
M6 83 46.11 29 48.33 1.041 −1.37 0.514 0.44 2,548.352 18.63 0.293 24.07
M7 86 47.78 29 48.33 1.043 −1.56 0.512 0.18 2,634.676 14.74 0.339 7.30
M8 108 60.00 37 61.67 1.029 −0.27 0.513 0.22 2,794.690 8.17 0.299 21.45
M9 24 13.33 2 3.33 1.173 −12.46 0.072 −85.98 12,217.216 −75.26 2.047 −82.24
M10 32 17.78 9 15.00 1.122 −8.52 0.462 −9.61 7,927.607 −61.87 1.039 −65.01
M11 112 62.22 44 73.33 1.021 0.59 0.512 0.10 3,045.173 −0.73 0.330 10.13
M12 124 68.89 48 80.00 0.976 5.15 0.513 0.27 2,464.826 22.65 0.253 43.84
M13 93 51.67 21 35.00 1.13 −9.38 0.513 0.29 3,252.671 −7.06 0.306 18.62
M14 92 51.11 33 55.00 1.03 −0.44 0.512 0.02 2,780.146 8.74 0.348 4.48