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On the basis of the lowest error values MPSD, Brouser Weron Sototlongo kinetic model indicates better fit with the experimental data as compared to the other models.
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It was found that the Langmuir mathematical model indicated better fit to the experimental data than the Freundlich.
Adding a direct effect increases the log-likelihood (LL) of the model, indicating better fit of the data to the model.
High model performance was also demonstrated by high values of the area under the curve (AUC) for the ROC analysis (AUC ≥ 0.981 for both models) indicating better than random predictions (0.5 = random, 1 = maximum).
The higher R2 of the model with HSAP indicates better model fit with HSAP as clustering unit and therefore it was used in all subsequent models.
BIC (Bayesian Information Criterion): a measure of fit applicable for model selection, penalising for the number of variables in the model (low value indicates better fit).
Here, I use the Log Bayes Factor (LBF) as a measure of relative model evidence, where a smaller LBF indicates better model evidence, and in the present context this means higher predictive validity.
The other model indicates a better fit (Figure 8b).
The smaller value of these parameters of residual analysis indicates better model.
A smaller value of (text {PE}) or (text {PE-GH}) indicates better model performance in terms of prediction of the observed response patterns.
*Lower SD indicates better model.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com