Journal of Probability and Statistics / 2012 / Article / Tab 2

Review Article

Analysis of Longitudinal and Survival Data: Joint Modeling, Inference Methods, and Issues

Table 2

Comparison of the two-stage Method and the joint likelihood method via a simulation study.

MethodParameter 𝛽 1 𝛼 0 𝛼 1 𝜎 𝐴 1 1 𝐴 2 2
True value 0.6 βˆ’0.2 1.3 0.6 0.5 0.3

Two-stageEst 0.183 βˆ’0.183 1.303 0.598 0.501 0.353
ESE 0.216 0.111 0.164 0.025 0.114 0.209
ASE 0.201 0.111 0.164β€”β€”β€”
BSE 0.250 β€” β€”β€”β€”β€”
Bias βˆ’0.417 0.017 0.003 βˆ’0.002 βˆ’0.001 0.053
MSE 0.221 0.013 0.027 0.0007 0.013 0.046
CR 42.8 95.6 94.4 β€” β€”β€”

Joint modelEst 0.6004 βˆ’0.175 1.296 0.598 0.492 0.321
ESE 0.256 0.103 0.161 0.020 0.092 0.156
ASE 0.249 0.099 0.163β€” β€” β€”
Bias 0.0004 0.025 βˆ’0.004 βˆ’0.002 βˆ’0.008 0.021
MSE 0.066 0.011 0.026 0.0004 0.008 0.025
CR 95.6 95.8 95.2β€”β€”β€”

We are committed to sharing findings related to COVID-19 as quickly and safely as possible. Any author submitting a COVID-19 paper should notify us at help@hindawi.com to ensure their research is fast-tracked and made available on a preprint server as soon as possible. We will be providing unlimited waivers of publication charges for accepted articles related to COVID-19. Sign up here as a reviewer to help fast-track new submissions.