Skip to main content

Table 2 Simulation results for comparisons of methods in estimating the difference in restricted mean survival time. Scenario with 5 trials and 200 patients per trial, and with non-proportional hazards

From: Bias and precision of methods for estimating the difference in restricted mean survival time from an individual patient data meta-analysis

Heterogeneity scenario

Methods

β = 0

β = −0.7

t * = 5 True rmstD = 0

t * = 10 True rmstD = 0

t * = 5 True rmstD = −0.3

t * = 10 True rmstD = 0.3

Bias

ESE

ASE

Bias

ESE

ASE

Bias

ESE

ASE

Bias

ESE

ASE

22) = (0.01;0.01)

Naïve Kaplan-Meier

0.00

0.12

0.11

0.00

0.28

0.24

0.00

0.12

0.11

0.00

0.28

0.24

Pooled Kaplan-Meier

0.00

0.12

0.13

0.01

0.29

0.30

0.01

0.12

0.13

−0.05

0.29

0.29

Pooled Exponential

0.00

0.10

0.11

0.00

0.27

0.28

0.40

0.12

0.12

0.07

0.30

0.30

Peto-quintile

0.00

0.11

0.10

0.00

0.24

0.21

0.02

0.11

0.10

−0.19

0.24

0.21

22) = (0.01;0.10)

Naïve Kaplan-Meier

0.00

0.19

0.11

0.02

0.50

0.24

0.00

0.19

0.11

0.00

0.48

0.24

Pooled Kaplan-Meier

0.01

0.19

0.18

0.02

0.50

0.46

0.00

0.19

0.18

−0.05

0.48

0.46

Pooled Exponential

0.00

0.19

0.17

0.01

0.49

0.45

0.39

0.20

0.18

0.05

0.50

0.47

Peto-quintile

0.00

0.18

0.10

0.01

0.43

0.22

0.02

0.18

0.10

−0.18

0.42

0.22

22) = (0.10;0.01)

Naïve Kaplan-Meier

0.00

0.12

0.11

0.00

0.28

0.24

0.00

0.12

0.11

−0.01

0.27

0.24

Pooled Kaplan-Meier

0.00

0.12

0.13

0.00

0.29

0.29

0.00

0.12

0.13

−0.07

0.28

0.29

Pooled Exponential

0.00

0.10

0.11

0.00

0.27

0.28

0.38

0.12

0.12

0.04

0.30

0.31

Peto-quintile

0.00

0.11

0.10

0.00

0.24

0.21

0.00

0.11

0.10

−0.21

0.25

0.22

22) = (0.10;0.10)

Naïve Kaplan-Meier

−0.01

0.19

0.11

−0.01

0.46

0.24

0.00

0.20

0.11

0.01

0.49

0.24

Pooled Kaplan-Meier

−0.01

0.19

0.18

−0.02

0.47

0.45

0.00

0.20

0.18

−0.05

0.48

0.45

Pooled Exponential

−0.01

0.18

0.17

−0.01

0.45

0.44

0.38

0.20

0.18

0.05

0.50

0.46

Peto-quintile

−0.01

0.18

0.10

−0.01

0.41

0.22

0.01

0.19

0.10

−0.18

0.44

0.22

  1. A DerSimonian-Laird random effects meta-analysis model was used for Pooled Kaplan-Meier, Pooled Exponential and Peto-quintile
  2. β Size of treatment effect (=log(HR)), σ 2 baseline hazard heterogeneity, τ 2 treatment effect heterogeneity, ASE average standard error, CI Confidence interval, ESE empirical standard error, rmstD difference in restricted mean survival time, t * time horizon