Two-Sample Multistate Accelerated Sojourn Times Model
两样本多状态加速停留时间模型AI 解读 ↓
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两样本多状态加速停留时间模型AI 解读 ↓
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Many medical studies involve observations of patients experiencing multiple consecutive states during their follow-up. Since treatments may have differential effects on these states, comparison is of interest with respect to individual sojourn times. In this article I generalize the univariate accelerated failure time model for multistate processes and model the treatment effects as state-specific time scale changes. I propose a two-sample inference procedure that accommodates incomplete follow-up data. This semiparametric procedure, based on estimating equations, yields a class of estimators that are consistent and asymptotically normal. Sample-based consistent variance estimates are derived. Numerical studies demonstrate that the procedure performs well for practical sample sizes. Application to a cancer clinical trial is presented for illustration.
We develop a semiparametric continuous time inferential framework for testing cumulative treatment effects, including both immediate and carryover effects. The latent state process is modeled by an ordinary differential equation (ODE) whose drift depends on state and treatment, while the observed data are noisy measurements of this latent state at irregular, multi resolution time points. We define the average treatment effect (ATE) as the difference of expected cumulative…
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The bootstrap is widely used to construct confidence intervals but may perform poorly for some estimators. We consider semiparametric estimators that use cross-validation to estimate nuisance pa- rameters and can be computationally expensive in large datasets. We illustrate potential problems with bootstrapping with replacement when cross-validation is used and extend the cheap bootstrap confidence interval to subsampling without replacement for asymptotically linear…