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Table 4 Model performance: VNS, RPS mapping algorithms

From: Estimating health related quality of life effects in vitiligo. Mapping EQ-5D-5 L utilities from vitiligo specific scales: VNS, VitiQoL and re-pigmentation measures using data from the HI-Light trial

 

Van Hout Crosswalk

Alava Crosswalk

 

M4 (Linear)

M5 (Non-Linear)

M6 (Polynomial)

M4 (Linear)

M5 (Non-Linear)

M6 (Polynomial)

VNS

MAE

0.108

0.019

0.0012

0.100

0.118

0.0011

RMSE

0.152

0.021

0.00021

0.151

0.016

0.0022

Predicted Mean (SE)

0.9115 (0.0003)

0.8851 (0.0005)

0.9081 (0.0003)

0.9000 (0.0002)

0.8996 (0.0003)

0.8939 (0.0003)

Observed Mean (SE)

0.9067 (0.005)

0.9067 (0.005)

0.9067 (0.005)

0.9008 (0.005)

0.9008 (0.005)

0.9008 (0.005)

Difference (Mean)

-0.0048

0.0216

-0.0014

0.0008

0.0012

0.0069

AIC

-681

-691

-2850

-701

-714

-2899

Predicted QALY

1.5967 (0.0013)

1.5503 (0.0020)

1.5899 (0.0013)

1.5758 (0.0007)

1.5742 (0.0011)

1.5646 (0.0011)

Observed QALY

1.5979 (0.017)

1.5979 (0.017)

1.5979 (0.017)

1.5887 (0.017)

1.5887 (0.017)

1.5887 (0.017)

Difference (QALY)

0.0012

0.0476

0.0080

0.0129

0.0145

0.0241

RPS

MAE

0.107

0.031

0.001

0.100

0.014

0.0008

RMSE

0.153

0.031

0.00018

0.151

0.016

0.0011

Predicted Mean (SE)

0.9068 (0.0004)

0.8834 (0.0002)

0.9069 (0.0004)

0.8997 (0.0003)

0.8917 (0.0003)

0.8984 (0.0004)

Observed Mean (SE)

0.9067 (0.005)

0.9067 (0.005)

0.9067 (0.005)

0.9008 (0.005)

0.9008 (0.005)

0.9008 (0.005)

Difference (Mean)

-0.0001

0.0233

-0.0002

0.0011

0.0091

0.0024

AIC

-664

-697

-2743

-683

-698.4

-2888

Predicted QALY

1.5862 (0.0014)

1.5449 (0.0007)

1.5859 (0.0013)

1.5739 (0.0012)

1.5594 (0.0011)

1.5699 (0.0017)

Observed QALY

1.5979 (0.017)

1.5979 (0.017)

1.5979 (0.017)

1.5887 (0.017)

1.5887 (0.017)

1.5887 (0.017)

Difference (QALY)

0.0117

0.053

0.012

0.0148

0.0293

0.0188

  1. M4 Linear Model, M5 Non-Linear Model, M6 Polynomial Model (VNS M6: Polynomial regression of orders 4, RPS M6 Polynomial regression of orders 3), Re-pigmentation Categories: 0-24% [25], 25-49% [50], 50-74% [75], 75-100% [100], MAE Mean Absolute Error, RMSE Root Mean Squared Error, QALY Quality Adjusted Life Year, AIC Akaike Information Criterion, SD Standard Deviation, SE Standard Error, VNS Vitiligo Noticeability Scale, RPS Re-pigmentation Score. Difference (Mean): Observed - Predicted; QALY estimates derived from baseline, month 9 and month 21 data