arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1403.7853stat.ME
收藏

潜在高斯过程模型及其在临床试验监测中的应用

A Latent Gaussian Process Model with Application to Monitoring Clinical Trials

Yanxun Xu, Yuan Ji

摘要:

在许多临床试验中,治疗需要重复应用,因为疾病在长时间缓解后经常复发(例如,35周)。大多数统计学研究集中在总体试验设计上,如样本量和功效计算,或集中在试验完成后的数据分析上。在提高试验监测效率方面做得很少,例如因无效而提前终止试验。这种试验监测所面临的挑战主要是由于需要对患者的重复结果进行适当建模。我们提出了一个贝叶斯试验监测计划的临床试验重复和潜在的循环二进制结果。我们构建了一个潜在的高斯过程(LGP)模型离散的纵向数据在这些试验。LGP描述了引起观察到的纵向二元结果的潜在过程。研究了该模型的后验一致性。后验推理采用混合蒙特卡罗算法。在各种临床场景下进行模拟研究,并根据现实生活中的试验报告了一个案例研究。

英文摘要:

In many clinical trials treatments need to be repeatedly applied as diseases relapse frequently after remission over a long period of time (e.g., 35 weeks). Most research in statistics focuses on the overall trial design, such as sample size and power calculation, or on the data analysis after trials are completed. Little is done to improve the efficiency of trial monitoring, such as early termination of trials due to futility. The challenge faced in such trial monitoring is mostly caused by the need to properly model repeated outcomes from patients. We propose a Bayesian trial monitoring scheme for clinical trials with repeated and potentially cyclic binary outcomes. We construct a latent Gaussian process (LGP) to model discrete longitudinal data in those trials. LGP describes the underlying latent process that gives rise to the observed longitudinal binary outcomes. The posterior consistency property of the proposed model is studied. Posterior inference is conducted with a hybrid Monte Carlo algorithm. Simulation studies are conducted under various clinical scenarios, and a case study is reported based on a real-life trial.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑