潜在类模型
事件(粒子物理)
条件独立性
结果(博弈论)
随机效应模型
计量经济学
记分测验
统计
地方独立性
人口
独立性(概率论)
潜变量模型
统计假设检验
数学
人口学
医学
内科学
荟萃分析
物理
社会学
数理经济学
量子力学
作者
Hélène Jacqmin‐Gadda,Cécile Proust‐Lima,Jeremy M. G. Taylor,Daniel Commenges
出处
期刊:Biometrics
[Wiley]
日期:2009-05-10
卷期号:66 (1): 11-19
被引量:38
标识
DOI:10.1111/j.1541-0420.2009.01234.x
摘要
Latent class models have been recently developed for the joint analysis of a longitudinal quantitative outcome and a time to event. These models assume that the population is divided in G latent classes characterized by different risk functions for the event, and different profiles of evolution for the markers that are described by a mixed model for each class. However, the key assumption of conditional independence between the marker and the event given the latent classes is difficult to evaluate because the latent classes are not observed. Using a joint model with latent classes and shared random effects, we propose a score test for the null hypothesis of independence between the marker and the outcome given the latent classes versus the alternative hypothesis that the risk of event depends on one or several random effects from the mixed model in addition to the latent classes. A simulation study was performed to compare the behavior of the score test to other previously proposed tests, including situations where the alternative hypothesis or the baseline risk function are misspecified. In all the investigated situations, the score test was the most powerful. The methodology was applied to develop a prognostic model for recurrence of prostate cancer given the evolution of prostate-specific antigen in a cohort of patients treated by radiation therapy.
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