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. 2021 May 18;11(5):368. doi: 10.3390/membranes11050368

Table 9.

Results of the simulation for selected models of pomegranate juice clarification in terms of RMSE, MAPE, R2, and residual analysis tests Shapiro–Wilk (S-W) and Kruskal–Wallis (K-W). Statistically validated models are in bold.

Models RMSE MAPE R2 S-W K-W
Concentration polarization models Davis (1992)/Shear-Induced Diffusion 1.64 27.56 85.58 2. 22 × 109 0.8234
Osmotic pressure models Keden and Katchalsky (1958) 4.89 67.03 98.92 0.0001 3.581 × 10−9
Wijmans et al. (1984) 0.49 7.85 98.91 0.00 0.964
Resistance in series models Hagen-Poiseuille (1839) 0.81 21.00 98.28 0.00 0.1974
De et al. (1997) 0.72 16.64 96.73 2.33 × 10 −13 0.37255
Fouling and adsorption models Ho & Zydney (2000) 2.01 51.69 75.91 2.93 × 10 −12 0.088
Song (1998)/Dynamic model 3.41 50.78 80.64 1.154 × 10−14 0.00
Mondal et al (2009) 1.60 17.45 92.40 0.0 0.3804
Non-Phenomenological models Yee et al. (2009) 0.46 11.09 99.20 2.991 × 10 −12 0.2262
Ruby-Figueroa et al. (2017)/ARIMA models 0.25 4.08 99.70 0.00 0.6320