Table 1 The model parameters, variance components for random effects, and fit statistics for the nonlinear mixed model described in the text (Std. Dev = standard deviation). Fit statistics include the coefficient of determination (R²), root mean squared error (RMSE), Akaike information criterion (AIC), and Bayesian criterion (BIC).

Parameters

Std. Dev

T value

P value

Std. Dev

T value

P value

a

10.9349

0.2444

44.7408

< 0.01

9.0885

0.2113

43.0086

<0.01

b

0.1436

0.0045

31.8415

< 0.01

0.2489

0.0087

28.4580

<0.01

c

2.2299

0.0497

44.8156

< 0.01

5.3868

0.2946

18.2851

<0.01

${\sigma }_{\upsilon L}$

0.9082

0.9761

${\sigma }_{\omega L}$

0.0113

0.0112

${\sigma }_{\upsilon R}$

2.4430)

2.1190

${\sigma }_{\omega R}$

0.0157

0.0292

${\sigma }_{\upsilon \omega L}$

-0.00641

-0.00061

${\sigma }_{\upsilon \omega R}$

-0.0240

-0.0341

R²

0.9543

0.9295

RMSE

0.5961

0.7134

AIC

34744.47

32408.32

BIC

34803.12

32464.59