Table 10 Statistical analysis results of RMSE values for the proposed optimized MLP regression model.
Metric | WWPA-GWO | WWPA | GWO | PSO | WOA |
|---|---|---|---|---|---|
Number of values | 10 | 10 | 10 | 10 | 10 |
Harmonic mean | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0016 |
Geometric mean | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0017 |
Geometric SD factor | 1.127 | 1.054 | 1.066 | 1.039 | 1.312 |
Lower 95% CI (Geo. Mean) | 0.0003 | 0.0006 | 0.0007 | 0.0008 | 0.0014 |
Upper 95% CI (Geo. Mean) | 0.0003 | 0.0007 | 0.0008 | 0.0008 | 0.0021 |
Lower 95% CI (Harm. Mean) | 0.0003 | 0.0006 | 0.0007 | 0.0008 | 0.0014 |
Upper 95% CI (Harm. Mean) | 0.0003 | 0.0007 | 0.0008 | 0.0008 | 0.0021 |
Lower 95% CI (Quad. Mean) | 0.0003 | 0.0006 | 0.0007 | 0.0008 | 0.0014 |
Upper 95% CI (Quad. Mean) | 0.0003 | 0.0007 | 0.0008 | 0.0008 | 0.0022 |
Quadratic mean | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0018 |
Mean | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0018 |
Median | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0017 |
Minimum | 0.0002 | 0.0006 | 0.0006 | 0.0008 | 0.0010 |
Maximum | 0.0003 | 0.0007 | 0.0008 | 0.0009 | 0.0030 |
Range | 0.0001 | 0.0001 | 0.0002 | 0.0001 | 0.0020 |
25% Percentile | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0016 |
75% Percentile | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0018 |
10% Percentile | 0.0002 | 0.0006 | 0.0006 | 0.0008 | 0.0010 |
90% Percentile | 0.0003 | 0.0007 | 0.0008 | 0.0009 | 0.0029 |
Lower 95% CI (Mean) | 0.0003 | 0.0006 | 0.0007 | 0.0008 | 0.0014 |
Upper 95% CI (Mean) | 0.0003 | 0.0007 | 0.0008 | 0.0008 | 0.0021 |
Lower confidence limit | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0015 |
Upper confidence limit | 0.0003 | 0.0006 | 0.0008 | 0.0008 | 0.0020 |
Std. Deviation | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0005 |
Std. Error of Mean | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0002 |
Coefficient of Variation (%) | 10.62 | 5.340 | 6.021 | 3.805 | 28.26 |
Skewness | − 2.379 | 0.9664 | − 2.471 | 0.0641 | 1.426 |
Kurtosis | 5.466 | 4.960 | 7.353 | 4.051 | 4.693 |
Actual confidence level | 97.85% | 97.85% | 97.85% | 97.85% | 97.85% |
Sum | 0.0028 | 0.0063 | 0.0076 | 0.0082 | 0.0176 |