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. 2023 Feb 10;23:36. doi: 10.1186/s12874-023-01846-3

Table 2.

Resultsa of the simulation study on the main parametersb

LMM JM
True Mean Bias RB RMSE Cov. Mean Bias RB RMSE Cov.
SCENARIO 0
HRQoL
β1 0.3 0.603 0.303 1.010 0.371 70.8 0.297 − 0.003 − 0.011 0.22 95.7
β2 1.2 1.141 −0.059 − 0.049 0.287 93.1 1.215 0.015 0.012 0.284 93.3
β1 + β2 1.5 1.744 0.244 0.163 1.512 0.012 0.008
Risk of dropout
γ1 − 0.4 − 0.403 − 0.003 0.007 0.103 93.8
α −0.02 − 0.02 0 0.003 0.003 95.2
SCENARIO 1
HRQoL
β1 0 −0.007 −0.007 NA 0.183 94.1 −0.008 −0.008 NA 0.184 94.2
β2 1.5 1.508 0.008 0.005 0.253 93.4 1.508 0.008 0.005 0.253 93.3
β1 + β2 1.5 1.501 0.001 0.001 1.5 0 0
Risk of dropout
γ1 0 −0.002 −0.002 NA 0.102 93.4
α 0 0 0 NA 0.002 94.9
SCENARIO 2
HRQoL
β1 0 0.356 0.356 NA 0.404 52.7 0.004 0.004 NA 0.198 94.3
β2 1.5 1.465 −0.035 −0.023 0.255 93.1 1.517 0.017 0.011 0.260 93.4
β1 + β2 1.5 1.821 0.321 0.214 1.521 0.021 0.014
Risk of dropout
γ1 0 −0.003 − 0.003 NA 0.110 94.3
α −0.03 −0.03 0 0 0.003 95.5
SCENARIO 3
HRQoL
β1 0 0.343 0.343 NA 0.391 53.0 −0.003 −0.003 NA 0.193 94.2
β2 1.5 1.359 −0.141 − 0.094 0.274 88.6 1.515 0.015 0.01 0.240 93.0
β1 + β2 1.5 1.702 0.202 0.135 1.512 0.012 0.008
Risk of dropout
γ1 −0.7 − 0.704 −0.004 0.006 0.115 94.4
α −0.03 −0.03 0 0.001 0.003 95.4
SCENARIO 4
HRQoL
β1 0 0.352 0.352 NA 0.397 51.8 0.002 0.002 NA 0.190 95.2
β2 0 −0.098 −0.098 NA 0.255 91.7 0.014 0.014 NA 0.241 93.8
β1 + β2 0 0.254 0.254 NA 0.016 0.016 NA
Risk of dropout
γ1 −0.7 − 0.706 −0.006 0.009 0.108 94.1
α −0.03 −0.030 0.000 0.002 0.003 94.8
SCENARIO 5
HRQoL
β1 0 0.342 0.342 NA 0.39 54.2 −0.009 −0.009 NA 0.194 94.8
β2 −1.5 −1.551 −0.051 0.034 0.245 93.9 −1.482 0.018 −0.012 0.245 94.4
β1 + β2 −1.5 −1.209 0.291 0.582 −1.491 0.009 −0.006
Risk of dropout
γ1 −0.7 −0.7 0 0 0.115 93.9
α −0.03 −0.03 0 −0.003 0.003 94.5

amean, bias, relative bias (RB), root mean square error (RMSE) and coverage rate (Cov.) based on 1000 generated datasets of 500 patients

b β1 and β2: time and interaction parameters characterizing the slope of the HRQoL trajectory in the control and experimental arms; γ1 and α: effects of treatment and HRQoL on risk of dropout

HRQoL, Health-related quality of life; JM, Joint model; LMM, Linear mixed model