Table 8 Parameter estimation (standard errors in parentheses) for nonlinear RBAI models using the pooled MEI competition index as described in Eq. 3

Fixed part

b ₃₀

0.0365 (0.0031)

0.0426 (0.0034)

0.0387 (0.0063)

0.0444 (0.0078)

b ₃₁

−0.0342 (0.0673)

2.4850 (1.4347)

0.3785 (0.1520)

−0.2996 (0.2455)

b ₃₂

0.0184 (0.0072)

n.s.

n.s.

0.0447 (0.0306)

b ₃₃

−15.5588 (2.3740)

−12.8471 (1.7331)

−9.8028 (2.7813)

−8.8537 (3.9482)

b ₃₄

1^e

1^e

1^e

1^e

b ₃₅

0.5435 (0.1143)

2.8134 (0.6927)

0.8016 (0.1719)

n.s.

b ₃₆

2.1027 (0.4353)

0.2607 (0.0912)

1^e

n.s.

Random effects

σ _jk ^a

0.0153

0.0146

0.0213

0.0202

σ _k ^b

0.0095

x

x

x

σ ^2c

4.5746

1.8034

1.3459

1.4208

δ ^d

−1.2340

−0.9661

−1.0103

−0.8980