Journal of Probability and Statistics / 2012 / Article / Tab 1

Review Article

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

Table 1

Analyses of the AIDS data under different models.

ModelMethod 𝛽 0 𝛽 1 𝛼 0 𝛼 1 𝜎

Cox modelTwo-stageEstimateβ€” 0.315 βˆ’0.233 1.345 0.605
SEβ€” 0.208 0.113 0.154β€”
𝑃 valueβ€” 0.129 0.040 <0.001β€”
BSEβ€” 0.237 β€” β€” β€”

Cox modelJoint modelEstimateβ€” 0.648 βˆ’0.201 1.342 0.603
SEβ€” 0.234 0.135 0.162β€”
𝑃 valueβ€” 0.006 0.137 <0.001 β€”

AFT modelJoint modelEstimate 0.168 βˆ’0.487 βˆ’0.237 1.341 0.604
SE 0.260 0.289 0.125 0.156β€”
𝑃 value0.517 0.091 0.059<0.001β€”

SE: standard error; BSE: bootstrap standard error. The 𝑃 values are from the Wald tests for testing if the corresponding parameters are zero or not.

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 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.