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Table 5 Model performance of three regression methods for mapping the PHQ-8 to the HUI3 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 −0.2680 0.2844 0.3644 17 17 17
2 BETAMIX M1b 2 components without truncation Probability mass at full health −0.0013 0.1664 0.2077 13 13 13
3 BETAMIX M1c 2 components with truncation Probability mass at full health −0.0001 0.1666 0.2082 14 14 14
4 BETAMIX M1d 2 components with truncation Probability mass at full health and truncation point −0.0007 0.1662 0.2074 12 12 12
5 BETAMIX M2a 1 component without truncation Probability mass at full health −0.2682 0.2842 0.3624 16 16 16
6 BETAMIX M2b 2 components without truncation Probability mass at full health . . .    
7 BETAMIX M2c 2 components with truncation Probability mass at full health −0.0010 0.1607 0.2023 7 1 4
8 BETAMIX M2d 2 components with truncation Probability mass at full health and truncation point 0.0002 0.1606 0.2025 6 6 6
9 BETAMIX M3a 1 component without truncation Probability mass at full health −0.2679 0.2839 0.3623 15 15 15
10 BETAMIX M3b 2 components without truncation Probability mass at full health −0.0048 0.1602 0.2027 5 7 6
11 BETAMIX M3c 2 components with truncation Probability mass at full health −0.0026 0.1612 0.2028 8 8 8
12 BETAMIX M3d 2 components with truncation Probability mass at full health and truncation point −0.0158 0.1634 0.2048 11 9 10
13 OLS M1    0.0000 0.1630 0.2066 10 10 10
14 OLS M2    0.0000 0.1584 0.2024 3 3 3
15 OLS M3    0.0000 0.1584 0.2024 4 2 3
16 TOBIT M1    −0.0011 0.1627 0.2066 9 11 10
17 TOBIT M2    −0.0012 0.1579 0.2024 2 4 3
18 TOBIT M3    −0.0012 0.1579 0.2024 1 5 3
  1. .: the analysis is not converge