Table 10 Parameter estimation (standard errors in parentheses) for nonlinear RBAI models using MEI index where competition effect is discriminated as described in Eq. 3

Fixed part

b ₃₀

0.0350 (0.0031)

0.0431 (0.0032)

0.0381 (0.0062)

0.0510 (0.0076)

b ₃₁

−0.0545 (0.0776)

0.5828 (0.1155)

0.3629 (0.1363)

1.2712 (1.4528)

b ₃₂

0.0225 (0.0083)

n.s.

n.s.

n.s.

b ₃₃

−18.0355 (2.5395)

10.4629 (1.3265)

−10.2557 (2.7621)

3.1874 (1.5634)

b ₃₄

1^e

1^e

1^e

1^e

b ₃₇

1.4262 (0.4141)

0.9568 (0.3652)

n.s.

n.s.

b ₃₈

1^e

1^e

n.s.

n.s.

b ₃₉

0.8886 (0.1014)

0.9020 (0.1273)

0.8211 (0.1710)

n.s.

b ₄₀

1^e

1^e

1^e

n.s.

Random effects

σ _jk ^a

0.0146

0.0139

0.0208

0.0242

σ _k ^b

0.0094

x

x

x

σ ^2c

4.4431

2.7921

1.3400

1.2093

δ ^d

−1.2263

−1.0582

−1.0101

−0.8599