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Table 3 Parameter estimates for original and shifted gamma distributions

From: Statistical modeling of volume of alcohol exposure for epidemiological studies of population health: the US example

Sex

Ethnicity

Age

Original NESARC distribution

Upshifted distribution

   

k

Theta

Mean

SD

K

Theta

Men

White

All Ages

0.436

48.132

40.268

47.275

0.726

55.501

Men

White

18 - 34

0.450

58.550

50.586

59.388

0.726

69.721

Men

White

35 - 54

0.441

46.951

38.993

45.778

0.726

53.743

Men

White

55+

0.430

37.486

29.713

34.883

0.726

40.953

Men

Black

All Ages

0.387

65.821

49.570

58.195

0.726

68.321

Men

Black

18 - 34

0.380

65.850

47.957

56.301

0.726

66.098

Men

Black

35 - 54

0.406

65.155

52.860

62.058

0.726

72.856

Men

Black

55+

0.362

66.530

44.642

52.410

0.726

61.529

Men

Native

All Ages

0.354

88.399

56.528

66.363

0.726

77.911

Men

Native

18 - 34

0.354

111.130

70.687

82.987

0.726

97.427

Men

Native

35 - 54

0.376

87.400

58.111

68.223

0.726

80.094

Men

Native Asian/Pac.

55+

0.345

46.584

27.412

32.181

0.726

37.781

Men

Islander Asian/Pac.

All Ages

0.417

28.224

22.544

26.467

0.726

31.072

Men

Islander Asian/Pac.

18 - 34

0.460

27.784

26.022

30.549

0.726

35.865

Men

Islander Asian/Pac.

35 - 54

0.412

30.006

22.784

26.749

0.726

31.403

Men

Islander

55+

0.345

17.665

11.801

13.854

0.726

16.265

Men

Hispanic

All Ages

0.426

40.756

40.726

47.812

0.726

56.131

Men

Hispanic

18 - 34

0.422

43.417

36.148

42.438

0.726

49.823

Men

Hispanic

35 - 54

0.433

40.633

52.215

61.300

0.726

71.967

Men

Hispanic

55+

0.426

31.678

23.517

27.609

0.726

32.413

Women

White

All Ages

0.391

19.778

14.785

18.361

0.648

22.801

Women

White

18 - 34

0.399

23.009

17.353

21.376

0.659

26.330

Women

White

35 - 54

0.410

18.282

14.224

17.702

0.646

22.030

Women

White

55+

0.366

17.852

12.495

15.672

0.636

19.657

Women

Black

All Ages

0.316

27.729

20.069

24.565

0.668

30.066

Women

Black

18 - 34

0.311

30.996

19.844

24.299

0.667

29.756

Women

Black

35 - 54

0.326

27.461

22.642

27.585

0.674

33.607

Women

Black

55+

0.310

19.494

12.313

15.459

0.634

19.408

Women

Native

All Ages

0.295

54.514

33.405

40.221

0.690

48.427

Women

Native

18 - 34

0.297

87.190

49.135

58.688

0.701

70.098

Women

Native

35 - 54

0.304

42.472

27.347

33.109

0.682

40.084

Women

Native Asian/Pac.

55+

0.336

20.350

19.866

24.326

0.667

29.787

Women

Islander Asian/Pac.

All Ages

0.318

24.855

14.464

17.984

0.647

22.360

Women

Islander Asian/Pac.

18 - 34

0.311

42.172

24.428

29.682

0.677

36.065

Women

Islander Asian/Pac.

35 - 54

0.441

6.702

5.460

7.413

0.542

10.065

Women

Islander

55+

0.360

5.835

2.430

3.856

0.397

6.118

Women

Hispanic

All Ages

0.341

17.855

18.482

22.701

0.663

27.883

Women

Hispanic

18 - 34

0.325

23.545

15.423

19.109

0.651

23.677

Women

Hispanic

35 - 54

0.377

12.815

24.680

29.977

0.678

36.411

Women

Hispanic

55+

0.330

13.513

10.682

13.544

0.622

17.173