Table 20. Fetal kidney mass models (g vs. fetal mass in g for power law models, g 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	0.10014	—	—	—	-12495.00	24992.0
Quadratic Growth	-0.26646	0.022757	—	—	-6097.13	12198.3
Cubic Growth	-0.093661	0.0043005	0.00040110	—	-5967.55	11941.1
Gompertz	6.33270×10−5	1.0409	0.076435	—	-5916.16	11838.3
Logistic	29.583	0.23193	30.697	—	-5984.42	11974.8
Power Law	0.016011	0.91410	—	—	-5916.29	11836.6
Luecke Power Law	0.018129	0.87512	0.0029479	—	-5916.15	11838.3

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.