Table 1 Second order quadratic utility functions

Japan

Y = − 0.0000000550x² + 0.0003563210x − 0.0742209093

EQ-5D-5L

Concave

1

–

Japan

y = − 0.0000062x² + 0.0045459x − 0.0090418

EQ-5D-3L

Concave

–

1

Denmark

Y = − 0.0000000446x² + 0.0004197915x − 0.1655666889

EQ-5D-5L

Concave

2

–

Denmark

y = − 0.0000054x² + 0.0057193x − 0.2949838

EQ-5D-3L

Concave

–

2

France

Y = 0.0000000237x² + 0.0001943942x − 0.2303118192

EQ-5D-5L

Convex

6

–

Germany

Y = 0.0000000323x² + 0.0001660183x + 0.0082592409

EQ-5D-5L

Convex

10

–

Germany

y = 0.0000094x² + 0.0014504x – 0.0378014

EQ-5D-3L

Convex

–

8

Netherlands

Y = 0.0000000268x² + 0.0001734792x − 0.0647394984

EQ-5D-5L

Convex

8

–

Netherlands

y = 0.0000055x² + 0.0021384x − 0.0380753

EQ-5D-3L

Convex

–

5

Spain

Y = 0.0000000251x² + 0.0002372594x − 0.2745223392

EQ-5D-5L

Convex

7

–

Spain

y = 0.0000083x² + 0.0025337x − 0.3504985

EQ-5D-3L

Convex

–

7

Thailand

Y = − 0.0000000134x² + 0.0002816214x − 0.1901163980

EQ-5D-5L

Concave

4

–

Thailand

y = 0.0000015x² + 0.0033337x − 0.2652283

EQ-5D-3L

Convex

–

4

UK

Y = 0.0000000299x² + 0.0002053902x − 0.2343214473

EQ-5D-5L

Convex

9

–

UK

y = 0.0000079x² + 0.0023519x − 0.3067348

EQ-5D-3L

Convex

–

6

USA

Y = 0.0000000092x² + 0.0001832790x + 0.0991735591

EQ-5D-5L

Convex

5

–

Zimbabwe

Y = − 0.0000000189x² + 0.0002390259x + 0.1619338051

EQ-5D-5L

Concave

3

–

Zimbabwe

y = − 0.0000025x² + 0.0034765x + 0.0751729

EQ-5D-3L

Concave

–

3