. Author manuscript; available in PMC: 2023 Sep 25.

Published in final edited form as: Toxicol Appl Pharmacol. 2022 Feb 15;440:115922. doi: 10.1016/j.taap.2022.115922

Table 2:

Statistical comparison of the model fits to data from in vivo exposure of rats to 2,4-D (Saghir et al. 2013). The values for the dose associated with half-maximal urinary excretion (KmU) used in these simulations were fit to female data

Urinary Excretion	Sex	RSS^B	MAE^B	AICc^C	ΔAICc^A
First-Order	Female	55.7	0.878	160.7	69.9^†
Saturable	Female	15.4	0.423	90.8	69.9^†
First-Order	Male	11.0	0.408	63.9	4.99
Saturable	Male	9.18	0.372	59.0	4.99

ΔAICc was calculated as AICc_first-order – AICc_saturable

Residual sum of squares (RSS) and mean absolute error (MAE) were calculated using log-transformed errors given the log-normal distribution of the residuals.

The corrected Akaike information criterion (AICc) was used given the relatively small sample size of the in vivo dataset

^†

symbol on the ΔAICc value denotes sufficient improvement in fit to justify preferential use of the model using saturable excretion over that which used only first-order excretion (Cavanaugh and Neath 2019).