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Table 3 Estimates of Gini coefficient using the Trapezium, Simpson 1/3 and Simpson 3/8 numerical integration methods

From: Estimation of the Gini coefficient for the lognormal distribution of income using the Lorenz curve

Region/family head Trapezium rule Simpson’s 1/3 rule Simpson’s 3/8 rule Exact integration
Greater Accra 0.4472 0.4632 0.4592 0.4754
Eastern 0.4650 0.4814 0.4748 0.4954
Ashanti 0.4690 0.4802 0.4774 0.4966
Volta 0.4620 0.4756 0.4688 0.4876
Western 0.5144 0.5148 0.5146 0.526
Brong Ahafo 0.4736 0.4814 0.4778 0.567
Central 0.4734 0.4794 0.4776 0.4894
Northern 0.5242 0.5362 0.5344 0.5392
Upper East 0.5408 0.5608 0.5530 0.581
Upper West 0.3748 0.5508 0.5444 0.5714
Rural 0.4868 0.4940 0.4934 0.4974
Urban 0.4492 0.5107 0.5050 0.5484
Male head 0.4596 0.4774 0.4762 0.48
Female head 0.4764 0.5295 0.5222 0.5658
All 0.4680 0.5034 0.4992 0.5229