Table 5.
Relative Error generated from the Gini coefficient using Trapezium, Simpson 1/3 and Simpson 3/8 numerical integration methods as compared with the exact estimation
| Region/family head | Trapezium | Rule | Simpson’s 1/3 | Rule | Simpson’s 3/8 | Rule |
|---|---|---|---|---|---|---|
| Relative error (%) | m | Relative error (%) | m | Relative error (%) | m | |
| Greater Accra | 5.931847 | 2 | 2.566260 | 2 | 3.407657 | 2 |
| Eastern | 6.136455 | 1 | 2.825999 | 2 | 4.158256 | 2 |
| Ashanti | 5.557793 | 2 | 3.302457 | 2 | 3.866291 | 2 |
| Volta | 5.250205 | 2 | 2.461034 | 2 | 3.855619 | 2 |
| Western | 2.205323 | 2 | 2.129278 | 2 | 2.167300 | 2 |
| Brong Ahafo | 16.47266 | 1 | 15.09700 | 1 | 15.73192 | 1 |
| Central | 3.269309 | 2 | 2.043318 | 2 | 2.411116 | 2 |
| Northern | 2.781899 | 2 | 0.556380 | 2 | 0.890208 | 2 |
| Upper East | 6.919105 | 1 | 3.476764 | 2 | 4.819277 | 2 |
| Upper West | 34.40672 | 1 | 3.605180 | 2 | 4.725236 | 2 |
| Rural | 2.131082 | 2 | 0.683554 | 2 | 0.804182 | 2 |
| Urban | 18.08899 | 1 | 6.874544 | 1 | 7.913931 | 1 |
| Male head | 4.25000 | 2 | 0.541667 | 2 | 0.791667 | 2 |
| Female head | 15.80064 | 1 | 6.415695 | 1 | 7.705903 | 1 |
| All | 10.49914 | 1 | 3.729203 | 2 | 4.532415 | 2 |