Table 3 Mean predictive ability^a (PA) and between brackets root mean square error of the prediction (RMSE) for models M4, M5, M6 and M7 and P value for the differences in PA between M4 versus M6, M5 versus M6, and M6 versus M7

0.09 (0.75)

0.15 (0.75)

0.13 (0.75)

0.13 (0.75)

0.34

0.45

0.96

0.14 (0.28)

0.03 (0.28)

0.11 (0.28)

0.12 (0.28)

0.39

0.02

0.84

0.15 (0.37)

− 0.07 (0.37)

0.14 (0.37)

0.15 (0.37)

0.93

3.70e−10*

0.92

0.15 (0.25)

− 0.12 (0.24)

0.15 (0.24)

0.15 (0.24)

0.97

8.15e−13*

0.97

0.10 (0.53)

− 0.14 (0.53)

0.10 (0.53)

0.10 (0.53)

1.00

5.38e−11*

0.84

0.17 (0.59)

− 0.10 (0.59)

0.16 (0.59)

0.16 (0.59)

0.89

2.70e−10*

0.94

0.09 (0.03)

0.18 (0.03)

0.16 (0.03)

0.16 (0.03)

0.08

0.46

1.00

− 0.03 (1.20)

0.08 (1.21)

0.06 (1.21)

0.04 (1.22)

0.01

0.54

0.61

0.37 (0.24)

0.06 (0.26)

0.37 (0.24)

0.37 (0.24)

1.00

4.94e−18*

1.00

0.22 (0.14)

0.34 (0.14)

0.38 (0.13)

0.38 (0.13)

9.50e−07*

0.15

0.90

0.12 (2.42)

− 0.17 (2.42)

0.11 (2.42)

0.10 (2.42)

0.92

1.81e−10*

0.80

0.23 (0.44)

− 0.11 (0.45)

0.23 (0.44)

0.23 (0.44)

1.00

3.10e−17*

1.00

0.15 (0.08)

0.07 (0.08)

0.10 (0.08)

0.10 (0.08)

0.18

0.39

0.92

0.16 (1.30)

0.07 (1.33)

0.12 (1.31)

0.12 (1.31)

0.23

0.19

0.96

0.07 (0.19)

0.02 (0.19)

0.03 (0.19)

0.03 (0.19)

0.24

0.87

0.93

0.11 (2.66)

− 0.13 (2.66)

0.11 (2.66)

0.00 (2.67)

0.99

4.15e−10*

3.20e−03

0.09 (0.23)

0.16 (0.23)

0.15 (0.23)

0.15 (0.23)

0.08

0.71

1.00

− 0.08 (0.08)

0.29 (0.07)

0.29 (0.08)

0.29 (0.08)

8.81e−18*

1.00

1.00

0.15 (0.09)

0.16 (0.09)

0.14 (0.09)

0.13 (0.09)

0.77

0.56

0.81