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Table 1 Performance criteria stemming from the simulation study with Scenarios A to E

From: Correcting inaccurate background mortality in excess hazard models through breakpoints

Scenario

Model

βa = 0.3

βx =  − 0.2

Bias

Rel. bias

ECR

RMSE

Bias

Rel. bias

ECR

RMSE

A

1

−0.012

− 0.039

95.1

0.05

0.002

− 0.012

95.1

0.13

2

0.006

0.019

94.0

0.08

0.029

−0.146

96.4

0.21

3.1

−0.001

−0.003

91.4

0.09

0.064

−0.322

96.9

0.25

3.2

−0.003

−0.009

90.4

0.09

0.077

−0.386

96.6

0.27

4

0.000

−0.002

91.1

0.09

0.070

−0.348

96.5

0.26

B

1

−0.111

−0.370

30.1

0.12

−0.366

1.832

18.2

0.39

2

0.008

0.026

90.5

0.08

0.010

−0.050

95.6

0.23

3.1

0.001

0.003

90.6

0.08

0.040

−0.201

94.9

0.27

3.2

0.000

−0.001

91.4

0.08

0.050

−0.252

94.7

0.29

4

0.000

0.000

91.4

0.08

0.045

−0.224

94.6

0.28

C

1

0.135

0.450

14.6

0.14

0.388

−1.940

17.7

0.41

2

−0.068

−0.227

88.5

0.11

−0.181

0.904

82.0

0.27

3.1

−0.049

−0.163

90.9

0.10

−0.068

0.338

93.3

0.25

3.2

− 0.051

− 0.171

91.7

0.10

−0.051

0.256

94.1

0.25

4

−0.049

− 0.163

91.2

0.10

−0.063

0.316

93.6

0.25

D

1

−0.102

−0.340

40.1

0.11

−0.536

2.681

00.6

0.55

2

−0.052

−0.174

89.2

0.09

−0.329

1.644

57.9

0.39

3.1

−0.037

−0.122

91.7

0.09

−0.195

0.974

76.7

0.32

3.2

−0.036

−0.120

91.4

0.08

−0.172

0.860

79.2

0.32

4

−0.037

− 0.122

91.7

0.09

−0.185

0.927

77.7

0.32

E

1

−0.212

−0.707

00.7

0.22

−0.694

3.468

00.1

0.70

2

−0.006

−0.019

94.7

0.05

−0.061

0.307

92.3

0.24

3.1

−0.015

−0.051

94.6

0.06

−0.001

0.004

93.7

0.29

3.2

−0.020

−0.067

95.3

0.06

0.017

−0.087

94.3

0.30

4

−0.016

−0.052

94.7

0.06

0.003

−0.013

94.0

0.29

  1. Scenarios A to E: Proportion of subjects with x = 1 is 90%