Table 5

Statistical significance analysis.

Model comparison group Mann-whitney U test (p-value) Cliff's delta effect size 95% Confidence interval (Cohen's d) Significance conclusion
Diffusion+FNO vs PINN <0.001 0.89 (Large) [1.34, 2.01] Significant
Diffusion+FNO vs DES <0.001 0.92 (Large) [2.15, 3.28] Significant
Diffusion+FNO vs k-ε <0.001 0.95 (Large) [3.02, 4.17] Significant
Diffusion+FNO vs SST <0.001 0.91 (Large) [1.98, 3.12] Significant

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