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Table 2 Location quotients for health utilization data, with 95% lower and upper confidence limits using (1) Fieller's and (2) Profile-likelihood methods (see text for details about the data and methods)

From: Methods for confidence interval estimation of a ratio parameter with application to location quotients

County

n i

x i

LQ i

Fieller Lower

Fieller Upper

Profile Lower

Profile Upper

1

975

365

0.779

0.716

0.842

0.717

0.843

2

370

115

0.647

0.549

0.745

0.552

0.747

3

275

155

1.173

1.051

1.295

1.050

1.293

4

635

170

0.557

0.486

0.629

0.487

0.631

5

2405

1835

1.588

1.552

1.623

1.552

1.622

6

655

175

0.556

0.486

0.626

0.487

0.628

7

730

335

0.955

0.880

1.030

0.880

1.030

8

115

60

1.086

0.896

1.276

0.896

1.273

9

3205

1545

1.003

0.968

1.038

0.967

1.039

10

500

220

0.916

0.825

1.006

0.826

1.007

11

365

125

0.713

0.611

0.814

0.614

0.816

12

915

435

0.989

0.922

1.056

0.922

1.057

13

4920

225

0.095

0.083

0.107

0.084

0.108

14

500

315

1.311

1.223

1.399

1.222

1.397

15

525

215

0.852

0.765

0.939

0.766

0.940

16

20770

11035

1.106

1.093

1.118

1.091

1.120

17

3025

1595

1.097

1.061

1.134

1.060

1.134

18

350

155

0.922

0.813

1.030

0.814

1.030

19

4500

1675

0.775

0.746

0.803

0.745

0.804

20

610

460

1.569

1.498

1.640

1.496

1.638

21

3915

2780

1.478

1.448

1.507

1.448

1.507

22

10550

6710

1.323

1.305

1.342

1.304

1.343

23

720

250

0.723

0.650

0.795

0.651

0.796

24

6080

3130

1.071

1.046

1.096

1.045

1.097

25

350

140

0.832

0.726

0.939

0.727

0.940

26

1840

1140

1.289

1.244

1.335

1.243

1.335

27

685

500

1.519

1.450

1.588

1.448

1.586

28

920

405

0.916

0.850

0.982

0.850

0.983

29

2585

1395

1.123

1.084

1.162

1.083

1.163

30

1020

345

0.704

0.644

0.764

0.644

0.765

31

770

470

1.270

1.199

1.342

1.198

1.341

32

4240

1515

0.744

0.714

0.773

0.714

0.774

33

1580

205

0.270

0.236

0.304

0.237

0.306

34

5505

2475

0.936

0.909

0.962

0.908

0.963

35

3665

2420

1.374

1.343

1.405

1.342

1.406

36

1145

310

0.563

0.510

0.617

0.511

0.618

37

485

100

0.429

0.354

0.504

0.357

0.507

38

400

210

1.092

0.991

1.194

0.991

1.194

39

170

50

0.612

0.470

0.754

0.477

0.760

40

610

115

0.392

0.328

0.457

0.330

0.460

41

380

115

0.630

0.534

0.726

0.537

0.728

42

2695

865

0.668

0.632

0.704

0.632

0.705

43

1865

540

0.603

0.560

0.645

0.560

0.646

44

165

30

0.378

0.256

0.501

0.267

0.511

Total

98685

47425

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