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Table 7 The bias, slope, and random proportions of the mean square prediction error of best prediction models in the external validation for each trait1

From: Predicting nitrogen use efficiency, nitrogen loss and dry matter intake of individual dairy cows in late lactation by including mid-infrared spectra of milk samples

Trait

Algorithm

Model

MIR

MSPE2

RE

Bias%

Slope%

Random%

NUE

PLS

2

Original

22.7(1.4)

0.19(0.01)

11.3(5.5)

6.0(4.3)

82.7(5.4)

RR

4

Original

25.7(0.9)

0.20(0.004)

7.8(1.2)

1.4(1.0)

90.9(0.6)

SVM

3

Original

23.4(0.5)

0.18(0.003)

2.1(1.8)

3.2(4.0)

94.7(5.3)

NL

PLS

3

Original

9.6e-03(3.2e-04)

0.20(0.003)

1.2(0.7)

0.7(0.6)

98.2(1.3)

RR

6

No

1.4e-02(3.9e-04)

0.26(0.01)

4.3(3.7)

8.9(3.3)

86.9(2.7)

SVM

3

Original

1.1e-02(1.8e-04)

0.21(0.004)

0.8(1.1)

2.2(0.9)

97.0(1.2)

DMI_a

PLS

6

No

47.4(4.2)

0.28(0.01)

0.8(0.3)

15.3(17.0)

83.9(16.9)

RR

6

No

20.6(0.7)

0.18(0.01)

9.8(2.1)

10.5(3.3)

79.7(1.8)

SVM

3

Original

15.3(0.3)

0.16(0.002)

0.4(0.3)

3.7(0.8)

96.0(0.8)

  1. 1NUE nitrogen use efficiency, NL nitrogen loss, DMI_a 3-d moving average of dry matter intake, PLS partial least squares, RR ridge regression, SVM support vector machine, MIR mid-infrared, Original MIR without pre-treatment, No MIR is not included in the model, MSPE mean square prediction error, RE relative error, Bias% proportion of error due to mean bias, Slope% proportion of error due to deviation of the slope from 1, Random% proportion of error explained by random error. Values between brackets indicate the standard deviation
  2. 2The unit of MSPE: % × % for NUE; kg × kg for NL and DMI_a