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Table 1 Posterior inferences for utilities of the 43 health states together with 10 new health states not valued in the empirical survey

From: Bayesian nonparametric estimation of EQ-5D utilities for United States using the existing United Kingdom data

State X

Observed mean

UK results

K-Model

KM-Model

  

Posterior mean

Posterior SD

95% CI

Posterior mean

Posterior SD

95% CI

Posterior mean

Posterior SD

95% CI

11111

1

1

0

 

1

0

 

1

0

 

11112

0.8385

0.8259

0.0091

(0.8081,0.8437)

0.8199

0.0089

(0.8025,0.8373)

0.8263

0.0085

(0.8096,0.8430)

11113

0.5422

0.4107

0.012

(0.3872,0.4342)

0.4848

0.0139

(0.4576,0.5120)

0.4875

0.0128

(0.4624,0.5126)

11121

0.8632

0.8494

0.0086

(0.8325,0.8663)

0.849

0.0102

(0.8290,0.8690)

0.8583

0.0095

(0.8397,0.8769)

11122

0.7693

0.7187

0.012

(0.6952,0.7422)

0.7386

0.0125

(0.7141,0.7631)

0.7509

0.0118

(0.7278,0.7740)

11131

0.3485

0.2238

0.013

(0.1983,0.2493)

0.2691

0.0148

(0.2401,0.2981)

0.2776

0.0142

(0.2498,0.3054)

11133

0.1988

0.0107

0.0131

(−0.0150,0.0364)

0.1321

0.0129

(0.1068,0.1574)

0.1476

0.0123

(0.1235,0.1717)

11211

0.8672

0.8704

0.0091

(0.8526,0.8882)

0.8556

0.0088

(0.8384,0.8728)

0.8609

0.0086

(0.8440,0.8778)

11312

0.63

0.5499

0.0123

(0.5258,0.5740)

0.5863

0.0125

(0.5618,0.6108)

0.5931

0.0126

(0.5684,0.6178)

11331a

 

0.2154

0.1522

(−0.0829,0.5137)

0.3027

0.1474

(0.0138,0.5916)

0.3275

0.1774

(−0.0202,0.6752)

12111

0.8429

0.8303

0.0089

(0.8129,0.8477)

0.8272

0.0107

(0.8062,0.8482)

0.8301

0.0098

(0.8109,0.8493)

12121

0.7837

0.7421

0.0121

(0.7184,0.7658)

0.7587

0.0123

(0.7346,0.7828)

0.7659

0.0115

(0.7434,0.7884)

12211

0.7951

0.763

0.012

(0.7395,0.7865)

0.7662

0.013

(0.7407,0.7917)

0.7716

0.0115

(0.7491,0.7941)

12222

0.6533

0.5467

0.0118

(0.5236,0.5698)

0.6052

0.0111

(0.5834,0.6270)

0.6145

0.0101

(0.5947,0.6343)

12223

0.4441

0.2411

0.0118

(0.2180,0.2642)

0.3693

0.0149

(0.3401,0.3985)

0.3799

0.0133

(0.3538,0.4060)

12322a

 

0.3008

0.1012

(0.1024,0.4992)

0.3771

0.0993

(0.1825,0.5717)

0.3888

0.1213

(0.1511,0.6265)

13212

0.4704

0.3958

0.0123

(0.3717,0.4199)

0.3988

0.0148

(0.3698,0.4278)

0.4119

0.0124

(0.3876,0.4362)

13311

0.4131

0.3549

0.0128

(0.3298,0.3800)

0.3402

0.0119

(0.3169,0.3635)

0.3566

0.0113

(0.3345,0.3787)

13313a

 

0.1381

0.1172

(−0.0916,0.3678)

0.2134

0.115

(−0.0120,0.4388)

0.2302

0.1376

(−0.0395,0.4999)

13332

−0.0131

−0.1304

0.0144

(−0.1586,−0.1022)

−0.0679

0.0171

(−0.1014,−0.0344)

−0.0438

0.0157

(−0.0746,0.0130)

21111

0.8788

0.8788

0.0098

(0.8596,0.8980)

0.8662

0.0088

(0.8490,0.8834)

0.8713

0.0084

(0.8548,0.8878)

21133

0.1612

−0.0105

0.014

(−0.0379,0.0169)

0.0851

0.0162

(0.0533,0.1169)

0.1077

0.0145

(0.0793,0.1361)

21222

0.6587

0.5496

0.0115

(0.5271,0.5721)

0.6104

0.0111

(0.5886,0.6322)

0.621

0.0101

(0.6012,0.6408)

21232

0.3382

0.1008

0.0125

(0.0763,0.1253)

0.248

0.0153

(0.2180,0.2780)

0.2574

0.0132

(0.2315,0.2833)

21311a

 

0.5801

0.117

(0.3508,0.8094)

0.5696

0.1144

(0.3454,0.7938)

0.5899

0.1322

(0.3308,0.8490)

21312

0.5972

0.5388

0.0129

(0.5135,0.5641)

0.5483

0.0129

(0.5230,0.5736)

0.5632

0.0124

(0.5389,0.5875)

21323

0.3402

0.1687

0.0131

(0.1430,0.1944)

0.2569

0.0155

(0.2265,0.2873)

0.2765

0.014

(0.2491,0.3039)

22112

0.7129

0.6642

0.012

(0.6407,0.6877)

0.6685

0.0122

(0.6446,0.6924)

0.6805

0.0119

(0.6572,0.7038)

22121

0.7154

0.6361

0.0118

(0.6130,0.6592)

0.6749

0.0112

(0.6529,0.6969)

0.6828

0.0101

(0.6630,0.7026)

22122

0.6664

0.5415

0.0116

(0.5188,0.5642)

0.6198

0.0127

(0.5949,0.6447)

0.6234

0.0119

(0.6001,0.6467)

22222

0.5979

0.4985

0.0121

(0.4748,0.5222)

0.5365

0.0128

(0.5114,0.5616)

0.5561

0.0122

(0.5322,0.5800)

22232a

 

0.0989

0.0682

(−0.0348,0.2326)

0.1903

0.0671

(0.0588,0.3218)

0.2098

0.081

(0.0510,0.3686)

22233

0.1236

−0.088

0.0141

(−0.1156,-0.0604)

0.0515

0.0153

(0.0215,0.0815)

0.0707

0.0145

(0.0423,0.0991)

22323

0.2804

0.0743

0.0129

(0.0490,0.0996)

0.1926

0.0157

(0.1618,0.2234)

0.2089

0.0136

(0.1822,0.2356)

22331

0.1844

0.011

0.0139

(−0.0162,0.0382)

0.105

0.013

(0.0795,0.1305)

0.1236

0.0124

(0.0993,0.1479)

23223a

 

−0.0038

0.1121

(−0.2235,0.2159)

0.0742

0.1101

(−0.1416,0.2900)

0.0928

0.1319

(−0.1657,0.3513)

23232

0.0973

−0.0305

0.0138

(−0.0575,-0.0035)

0.0191

0.0163

(−0.0128,0.0510)

0.0434

0.0144

(0.0152,0.0716)

23313

0.1569

−0.0017

0.0137

(−0.0286,0.0252)

0.0814

0.0134

(0.0551,0.1077)

0.0997

0.0129

(0.0744,0.1250)

23321

0.3331

0.1555

0.013

(0.1300,0.1810)

0.2539

0.0126

(0.2292,0.2786)

0.2666

0.012

(0.2431,0.2901)

31221a

 

0.2783

0.1307

(0.0221,0.5345)

0.3016

0.128

(0.0507,0.5525)

0.3127

0.1517

(0.0154,0.6100)

32211

0.2408

0.1779

0.0124

(0.1536,0.2022)

0.1783

0.016

(0.1469,0.2097)

0.188

0.0144

(0.1598,0.2162)

32212a

 

0.1528

0.0902

(−0.0240,0.3296)

0.1601

0.0889

(−0.0141,0.3343)

0.1813

0.1056

(−0.0257,0.3883)

32223

0.0558

−0.0991

0.0142

(−0.1269,−0.0713)

−0.0203

0.0158

(−0.0513,0.0107)

−0.0003

0.0158

(−0.0313,0.0307)

32232

0.0051

−0.1201

0.0136

(−0.1468,−0.0934)

−0.0677

0.0165

(−0.1000,−0.0354)

−0.0419

0.0158

(−0.0729,−0.0109)

32313

0.0278

−0.1005

0.0145

(−0.1289,−0.0721)

−0.0331

0.0152

(−0.0629,−0.0033)

−0.0148

0.0151

(−0.0444,0.0148)

32331

−0.0895

−0.1838

0.0152

(−0.2136,−0.1540)

−0.1269

0.0169

(−0.1600,−0.0938)

−0.1038

0.0151

(−0.1334,−0.0742)

33133a

 

−0.3087

0.1549

(−0.6123,−0.0051)

−0.2178

0.1522

(−0.5161,0.0805)

−0.2129

0.1788

(−0.5633,0.1375)

33212

0.0765

0.0163

0.0131

(−0.0094,0.0420)

0.0097

0.017

(−0.0236,0.0430)

0.0303

0.0146

(0.0017,0.0589)

33232

−0.1263

−0.2231

0.0136

(−0.2498,−0.1964)

−0.1662

0.0169

(−0.1993,−0.1331)

−0.1449

0.0159

(−0.1761,−0.1137)

33321

−0.0254

−0.073

0.0142

(−0.1008,−0.0452)

−0.0692

0.0144

(−0.0974,−0.0410)

−0.0436

0.0132

(−0.0695,−0.0177)

33323

−0.1999

−0.2559

0.0142

(−0.2837,−0.2281)

−0.2184

0.0172

(−0.2521,−0.1847)

−0.1894

0.0155

(−0.2198,−0.1590)

33332a

 

−0.3003

0.0958

(−0.4881,−0.1125)

−0.2564

0.0942

(−0.4410,−0.0718)

−0.2282

0.1082

(−0.4403,−0.0161)

33333

−0.346

−0.3599

0.0102

(−0.3799,−0.3399)

−0.3082

0.0121

(−0.3319,−0.2845)

−0.3114

0.0116

(−0.3341,−0.2887)

  1. SD Standard Deviation, CI Credible Interval; arepresent the 10 health states not valued in the empirical survey