Table 9.
Two sample parametric and non-parametric statistical tests used to compare variability and data distribution of real and predicted IARR that were obtained through a set of water balance models in the northern Algeria area.
| Statistic | Real Data | Schreiber | Ol’dekop | Pike | Budyko | Yang | Sharif | Zhang | MR | CART | MR-CART |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Min | 7.000 | 0.555 | 2.039 | 3.029 | 1.298 | 9.552 | 17.101 | 6.913 | 5.524 | 7.750 | 6.952 |
| Max | 497.00 | 377.825 | 237.453 | 296.477 | 310.726 | 384.671 | 351.434 | 417.300 | 505.874 | 493.000 | 502.539 |
| Mean | 20.625 | 5.981 | 6.771 | 9.950 | 6.331 | 25.252 | 35.629 | 20.618 | 21.852 | 20.867 | 20.844 |
| 1st Q | 39.000 | 18.680 | 13.995 | 20.294 | 16.404 | 44.170 | 50.550 | 38.715 | 37.485 | 38.896 | 38.924 |
| Median | 104.25 | 72.775 | 41.415 | 58.088 | 57.358 | 104.230 | 116.995 | 113.758 | 105.825 | 104.400 | 103.650 |
| 3rd Q | 81.719 | 52.926 | 32.396 | 44.254 | 42.916 | 76.388 | 84.857 | 78.989 | 81.704 | 81.719 | 81.716 |
| SD | 96.512 | 74.249 | 42.718 | 55.139 | 58.991 | 75.245 | 69.890 | 85.124 | 95.493 | 95.639 | 95.986 |
| T-test | 1.000 | <0.0001 | <0.0001 | <0.0001 | <0.0001 | 0.078 | 0.347 | 0.290 | 0.835 | 0.833 | 0.845 |
| Z-test | 1.000 | <0.0001 | <0.0001 | <0.0001 | <0.0001 | 0.075 | 0.345 | 0.287 | 0.830 | 0.828 | 0.844 |
| F-test | 1.000 | 0.009 | <0.0001 | <0.0001 | <0.0001 | 0.063 | 0.081 | 0.209 | 0.915 | 0.927 | 0.939 |
| Sign-test | 1.000 | <0.0001 | <0.0001 | <0.0001 | <0.0001 | 0.001 | <0.0001 | 0.421 | 0.773 | 0.326 | 0.773 |
| WSR-test | 1.000 | <0.0001 | <0.0001 | <0.0001 | <0.0001 | 0.032 | <0.0001 | 0.447 | 0.705 | 0.335 | 0.721 |
1st quartile (1st Q), 3rd quartile (3rd Q), standard deviation (SD), Student’s t-test (T-test), Fisher’s test, (F-test), Wilcoxon signed-rank test (WSR-test).