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Table 4 Model performance of three regression methods for mapping the PHQ-8 to the EQ-5D-5L utility scores

From: Mapping the PHQ-8 to EQ-5D, HUI3 and SF6D in patients with depression

No Mapping method Number of components and truncation Specification ME MAE RMSE MAE rank RMSE rank ARV 
1 BETAMIX M1a 1 component without truncation Probability mass at full health 0.0354 0.1374 0.1720 18 18 18
2 BETAMIX M1b 2 components without truncation Probability mass at full health 0.0010 0.1296 0.1708 15 17 16
3 BETAMIX M1c 2 components with truncation Probability mass at full health −0.0007 0.1274 0.1687 11 14 12.5
4 BETAMIX M1d 2 components with truncation Probability mass at full health and truncation point 0.0031 0.1293 0.1696 14 16 15
5 BETAMIX M2a 1 component without truncation Probability mass at full health 0.0355 0.1338 0.1691 17 15 16
6 BETAMIX M2b 2 components without truncation Probability mass at full health −0.0018 0.1254 0.1670 7 11 9
7 BETAMIX M2c 2 components with truncation Probability mass at full health 0.0002 0.1243 0.1656 5 8 6.5
8 BETAMIX M2d 2 components with truncation Probability mass at full health and truncation point 0.0051 0.1258 0.1657 10 9 9.5
9 BETAMIX M3a 1 component without truncation Probability mass at full health 0.0357 0.1297 0.1663 16 10 13
10 BETAMIX M3b 2 components without truncation Probability mass at full health −0.0011 0.1213 0.1631 3 2 2.5
11 BETAMIX M3c 2 components with truncation Probability mass at full health 0.0031 0.1212 0.1632 2 4 3
12 BETAMIX M3d 2 components with truncation Probability mass at full health and truncation point 0.0023 0.1208 0.1620 1 1 1
13 OLS M1    0.0000 0.1279 0.1673 13 12 12.5
14 OLS M2    0.0000 0.1255 0.1642 8 5 6.5
15 OLS M3    0.0000 0.1238 0.1631 4 3 3.5
16 TOBIT M1    −0.0098 0.1278 0.1681 12 13 12.5
17 TOBIT M2    −0.0101 0.1256 0.1653 9 7 8
18 TOBIT M3    −0.0098 0.1245 0.1644 6 6 6