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Table 2 Ordinary least-square regression modeling performed using main effects with or without significant demographic and squared terms

From: Deriving a mapping algorithm for converting SF-36 scores to EQ-5D utility score in a Korean population

  

Model 1

Model 2

Model 3

Model 4

Model 5

Model 6

   

SE

 

SE

 

SE

 

SE

 

SE

 

SE

Derivation set

             

Intercept

 

0.0161

0.1019

0.0168

0.0999

0.7629

0.1066

0.6947

0.0861

0.9277

0.0040

0.9582

0.0059

PF

 

0.0179

0.0030

0.0180

0.0027

0.0696

0.0091

0.0720

0.0092

    

RP

 

0.0010

0.0014

          

BP

 

0.0051

0.0013

0.0050

0.0009

0.0114

0.0007

0.0115

0.0007

    

GH

 

0.0003

0.0004

  

0.0029

0.0011

0.0024

0.0010

    

VT

 

0.0018

0.0021

          

SF

 

0.0162

0.0024

0.0166

0.0022

0.0656

0.0086

0.0644

0.0082

    

RE

 

0.0102

0.0040

0.0107

0.0036

0.0432

0.0054

0.0418

0.0055

    

MH

 

0.0050

0.0005

0.0043

0.0013

0.0058

0.0011

0.0058

0.0011

    

PF squared

     

0.0013

0.0002

0.0014

0.0002

    

SF squared

     

0.0042

0.0005

0.0041

0.0005

    

RE squared

     

0.0018

0.0002

0.0017

0.0002

    

Age

       

0.0011

0.0003

    

PCS

         

0.1227

0.0182

0.0509

0.0046

MCS

         

0.0769

0.0128

0.0196

0.0029

PCS × PCS

           

0.0265

0.0037

MCS × MCS

           

0.0113

0.0015

PCS × MCS

           

0.0334

0.0034

R2

 

0.6807

 

0.6804

 

0.7476

 

0.7498

 

0.6366

 

0.7093

 

MAE

 

0.101

 

0.101

 

0.087

 

0.087

 

0.109

 

0.094

 

AE > 0.05 (%)

 

53.1

 

52.7

 

49.6

 

50.0

 

62.8

 

50.4

 

AE > 0.1 (%)

 

33.9

 

34.3

 

28.0

 

28.4

 

36.8

 

29.3

 

RMSE

 

0.150

 

0.150

 

0.134

 

0.133

 

0.160

 

0.143

 

EQ-5D index

Actual

Predict

Predict

Predict

Predict

Predict

Predict

Mean (SD)

0.816 (0.266)

0.816 (0.220)

0.816 (0.220)

0.816 (0.230)

0.816 (0.230)

0.816 (0.212)

0.816 (0.224)

Min/max

0.171/1

0.291/1.057

0.293/1.049

0.099/1.020

0.091/1.037

0.285/1.111

0.002/0.997

Internal validations set

         

MAE

 

0.103

 

0.103

 

0.091

 

0.088

 

0.108

 

0.096

 

AE > 0.05 (%)

 

55.5

 

55.7

 

47.9

 

51.2

 

61.5

 

51.4

 

AE > 0.1 (%)

 

35.4

 

37.0

 

29.8

 

29.4

 

36.5

 

30.0

 

RMSE

 

0.147

 

0.147

 

0.132

 

0.131

 

0.155

 

0.144

 

EQ-5D index

Actual

Predict

Predict

Predict

Predict

Predict

Predict

Mean (SD)

0.831 (0.236)

0.809 (0.217)

0.809 (0.217)

0.824 (0.217)

0.812 (0.228)

0.819 (0.201)

0.822 (0.208)

Min/max

0.171/1

0.294/1.059

0.293/1.049

0.143/1.015

0.113/1.040

0.343/1.104

0.131/0.993

External validation set

         

MAE

 

0.092

 

0.082

 

0.085

 

0.086

 

0.097

 

0.083

 

AE > 0.05 (%)

 

61.0

 

61.0

 

56.1

 

61.0

 

66.7

 

56.1

 

AE > 0.1 (%)

 

35.8

 

35.0

 

30.9

 

33.3

 

41.5

 

26.8

 

RMSE

 

0.123

 

0.123

 

0.114

 

0.115

 

0.126

 

0.115

 

EQ-5D index

Actual

Predict

Predict

Predict

Predict

Predict

Predict

Mean (SD)

0.871 (0.113)

0.840 (0.149)

0.842 (0.150)

0.894 (0.125)

0.893 (0.121)

0.846 (0.156)

0.875 (0.129)

Min/max

0.537/1

0.432/1.045

0.430/1.049

0.418/1.032

0.416/1.023

0.435/1.111

0.355/0.984

  1. PF, physical functioning; RP, role- physical; BP, bodily pain; GH, general health; VT, vitality; SF, social functioning; RE, role -emotional; MH, mental health; PCS, physical component summary; MCS, mental component summary; MAE, mean absolute error; AE, absolute error; RMSE, root mean squared error.
  2. Bold values are not significant (p > 0.05).