Table 12. Amniotic fluid volume models (volume in mL vs. fetal mass in kg for power law models, volume in mL vs. gestational age in weeks for all other models).

Model	${\widehat{\mathit{\theta }}}_0$	${\widehat{\mathit{\theta }}}_1$	${\widehat{\mathit{\theta }}}_2$	${\widehat{\mathit{\theta }}}_3$	$\mathcal{l}\left(\widehat{\mathit{\theta }}\right)$	AIC
Linear Growth	9.3837	—	—	—	-1122.31	2246.62
Quadratic Growth	-0.045477	0.61316	—	—	-824.80	1653.6
Cubic Growth	-15.702	2.4783	-0.039285	—	-759.30	1524.61
Gompertz	0.041998	1.2118	0.12121	—	-750.239	1506.48
Logistic	822.34	0.26988	20.150	—	-739.00	1484.00
Power Law	535.45	0.43942	—	—	-774.08	1552.16
Luecke Power Law	611.83	0.31801	-0.038286	—	-753.05	1512.10

For each model considered, the maximum likelihood parameter estimates ($\widehat{\theta }$), log-likelihood ($\mathcal{l}\left(\widehat{\theta }\right)$), and AIC are provided. The row describing the selected model is shown in boldface.