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Table 5 Out-of sample Cross validation of best fitting models - summary of observed and predicted values

From: Mapping the EQ-5D index from the cystic fibrosis questionnaire-revised using multiple modelling approaches

 

EQ-5D

OLS model 3

OLS model 5

Tobit model 3

Tobit model 5

TPM model 3

TPM model 5

Sample 1

       

N

97

97

97

97

97

97

97

Mean (SD)

0.6776 (0.277)

0.6755 (0.205)

0.6976 (0.252)

0.6717 (0.207)

0.6891 (0.238)

0.6932 (0.214)

0.6811 (0.270)

Range

−0.3490 - 1

0.2702 - 1.028

0.1038 - 1.269

0.2539 - 0.9729

0.1444 - 1

0.1814 - 0.9734

0.0133, 1

RMSE

 

0.141

0.163

0.160

0.160

0.187

0.187

ICC

 

0.65

0.54

0.65

0.53

0.64

0.40

Sample 2

       

N

101

101

101

101

101

101

101

Mean (SD)

0.6632 (0.288)

0.6701 (0.243)

0.6744 (0.297)

0.6683 (0.246)

0.6744 (0.297)

0.6868 (0.263)

0.6785 (0.329)

Range

−0.1810 - 1

−0.0399 - 1.006

−0.1850 - 1.242

−0.0040 - 0.981

−0.2001 - 1

−0.1830 - 0.9838

−0.1642, 1

RMSE

 

0.118

0.165

0.162

0.162

0.182

0.182

ICC

 

0.79

0.61

0.79

0.64

0.79

0.50

Sample 3

       

N

100

100

100

100

100

100

98

Mean (SD)

0.6742 (0.277)

0.6696 (0.202)

0.6791 (0.221)

0.6779 (0.210)

0.6808 (0.236)

0.6954 (0.214)

0.6886 (0.252)

Range

−0.1810 - 1

0.2417 - 0.9782

0.0777 - 1.193

0.2592 - 0.9824

−0.0555 - 1

0.2593 - 0.9837

0.1442, 1

RMSE

 

0.146

0.196

0.204

0.204

0.223

0.223

ICC

 

0.50

0.31

0.52

0.29

0.49

0.29

Sample 4

       

N

103

103

103

103

103

103

103

Mean (SD)

0.6688 (0.287)

0.6703 (0.238)

0.6515 (0.281)

0.6703 (0.237)

0.6526 (0.302)

0.6887 (0.248)

0.6678 (0.295)

Range

−0.3310 - 1

−0.0577 - 1.048

−0.2275 - 1.201

−0.0441 - 0.9839

−0.2964 - 1

−0.1583 - 0.9879

−0.1745, 1

RMSE

 

0.120

0.185

0.180

0.180

0.207

0.207

ICC

 

0.80

0.51

0.81

0.56

0.81

0.47

  1. OLS, ordinary least squares; TPM, two-part model; SD, standard deviation; ICC, Intraclass correlation; RMSE, root of the mean square error.
  2. Model 3 = CFQ-R domains that are statistically significant at the 10% level + statistically significant squared terms; Model 5 = All CFQ-R items excluding the health domain items; TPM Model 8 = All CFQ-R items excluding the health domain items + age and gender.