| Test | Test statistic | p value |
| Energy test | 1.4717 | 0.001 |
| kurtosis | 35.381 | 5.98E05 |
| skewness | 19.702 | 0.00057 |
| Mardia’s | 7.536804 | 0.00197 |
| Henze Zirkler | 1.038131 | 0.00596 |
| Royston | 9.823858 | 0.00953 |