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Table 3 Model fit results from generalized poisson, negative binomial, and standard poisson models

From: Socio-environmental predictors of diabetes incidence disparities in Tanzania mainland: a comparison of regression models for count data

Model

Coefficients:

Estimate

Std. Error

z value

Pr(>|z|)

Generalized Poisson Regression

(Intercept):1

3.5400

0.3080

11.492

< 2e-16 

(Intercept):2

1.4443

0.0403

35.815

< 2e-16 

PPLHIV

0.0616

0.0241

2.556

0.0106

Pop

0.2264

0.0285

6.175

1.98e-15

GDP

-0.1507

0.0306

-4.922

8.57e-07

No. of H.facilities

0.0132

0.0034

3.852

0.000117

% of men

-0.0017

0.0050

-0.343

0.7314

Council residence (ref.=Rural)

Urban

1.1720

0.1067

10.979

< 2e-16

Council zone (ref.=Northern zone)

Central

-0.8480

0.2145

-3.953

7.72e-05

Eastern

-0.6483

0.1764

-3.675

0.000237

Lake

-0.7265

0.1495

-4.860

1.17e-06

Southern

-0.8064

0.1949

-4.138

3.51e-05

Southern Highland

-0.7467

0.1837

-4.066

4.78e-05

Western

-0.3392

0.1836

-1.848

0.064655

Negative Binomial distribution

(Intercept):1

3.3498

0.3656

9.163

< 2e-16

(Intercept):2

0.4740

0.1028

4.613

3.97e-06

PPLHIV

0.0803

0.0318

2.520

0.01174

Pop

0.2589

0.0419

6.175

6.61e-10

GDP

-0.1913

0.0424

-4.508

6.54e-06

No. of H.facilities

0.0187

0.0046

4.105

4.04e-05

% of men

-0.0038

0.0059

-0.648

0.516866

Council residence (ref.=Rural)

Urban

1.2570

0.1466

8.572

< 2e-16

Council zone (ref.=Northern zone)

Central

-1.0453

0.2715

-3.850

0.000118

Eastern

-0.9020

0.2424

-3.722

0.000198

Lake

-0.9519

0.2053

-4.637

3.54e-06

Southern

-1.0209

0.2339

-4.364

1.27e-05

Southern Highland

-0.9335

0.2375

-3.931

8.47e-05

Western

-0.6395

0.2448

-2.612

0.008989

Poisson regression

(Intercept):1

3.6228

0.05460

66.343

< 2e-16

PPLHIV

0.0704

0.00403

17.484

< 2e-16

Pop

0.2122

0.00448

47.350

< 2e-16

GDP

-0.1800

0.00490

-36.701

< 2e-16

No. of H.facilities

0.0188

0.00058

32.682

< 2e-16

% of men

-0.0086

0.00093

-9.239

< 2e-16

Council residence (ref.=Rural)

Urban

1.1996

0.0174

68.764

< 2e-16

Council zone (ref.=Northern zone)

Central

-0.9618

0.03717

-25.876

< 2e-16

Eastern

-0.7676

0.0279

-27.464

< 2e-16

Lake

-0.7881

0.0234

-33.706

< 2e-16

Southern

-1.0425

0.0390

-26.728

< 2e-16

Southern Highland

-0.8120

0.0312

-26.003

< 2e-16

Western

-0.4626

0.0320

-14.439

< 2e-16