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Table 2 Estimates of the area under the Lorenz curve using 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

Trapezium rule

Simpson’s 1/3 rule

Simpson’s 3/8 rule

Exact integration

Greater Accra

0.2764

0.2684

0.2704

0.2623

Eastern

0.2675

0.2593

0.2626

0.2523

Ashanti

0.2655

0.2599

0.2613

0.2517

Volta

0.2690

0.2622

0.2656

0.2562

Western

0.2428

0.2426

0.2427

0.2370

Brong Ahafo

0.2632

0.2593

0.2611

0.2165

Central

0.2633

0.2603

0.2612

0.2553

Northern

0.2379

0.2319

0.2328

0.2304

Upper East

0.2296

0.2196

0.2235

0.2095

Upper West

0.3126

0.2246

0.2278

0.2143

Rural

0.2566

0.2530

0.2533

0.2513

Urban

0.2754

0.24465

0.2475

0.2258

Male head

0.2702

0.2613

0.2619

0.26

Female head

0.2618

0.23525

0.2389

0.2171

All

0.2660

0.2483

0.2504

0.23855