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. 2018 Jan 17;8:986. doi: 10.1038/s41598-018-19375-1

Table 5.

Average ranking (AR) of all models for AgNPs adsorption on ACfCS.

Model R2 (Rank) RMSE (Rank) Emax (Rank) Emin (Rank) MAPE (Rank) MAD (Rank) AR
First-order 8 4 8 1 8 4 5.50
Second-order 15 15 15 15 15 15 15.00
Pseudo-first-order 6 5 6 4 6 5 5.33
Pseudo-second-order 3 3 3 8 3 3 3.83
Intraparticle diffusion 14 14 14 14 14 14 14.00
Power 12 9 12 13 13 9 11.33
Avrami 7 6 7 5 7 6 6.33
Bangham 13 10 13 9 10 10 10.83
Mixed 1,2-order 1 1 1 3 2 1 1.50
Exponential 5 7 5 6 5 7 5.83
Fractal-like exponential 9 11 9 10 9 11 9.83
Boyd 4 8 4 7 4 8 5.83
Fractal-like pseudo-first-order 10 12 10 11 11 12 11.00
Fractal-like pseudo-second-order 11 13 11 12 12 13 12.00
Fractal-like mixed 1,2-order 2 2 2 2 1 2 1.83