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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