Mixed-Poisson Point Process with Partially-Observed Covariates: Ecological Momentary Assessment of Smoking.
Mixed-Poisson Point Process with Partially-Observed Covariates: Ecological Momentary Assessment of Smoking.
复制标题
具有部分观测协变量的混合泊松点过程：吸烟的生态瞬时评估。
DOI：
10.1080/02664763.2011.626848
复制
发表时间：
2012
影响因子：
1.5
通讯作者：
Shiffman,Saul
中科院分区：
文献类型：
--
作者：
Neustifter,Benjamin;Rathbun,StephenL;Shiffman,Saul
生态瞬时评估是行为研究中的一种新兴数据收集方法，其可用于在电子设备上捕获重复行为事件的次数，并通过电子管理问卷在从基于概率的设计中选择的时间以及事件时间来获取关于受试者的心理状态的信息。针对部分观测时变协变量对重复行为事件发生时间的影响，提出了一种拟合混合泊松点过程模型的方法。点过程强度中包括随机脆弱性，以描述受试者之间事件发生率的基线变化。协变量系数估计使用的估计方程，通过取代泊松评分方程中的综合强度与设计无偏估计。还提出了一种估计的随机脆弱性的方差。我们的估计是稳健的，在这个意义上，没有模型假设的时间变化的协变量的分布或随机效应的分布。然而，受试者效应是在伽马脆弱性下使用近似分层似然估计的。所提出的方法说明使用吸烟数据。
Ecological momentary assessment is an emerging method of data collection in behavioral research that may be used to capture the times of repeated behavioral events on electronic devices and information on subjects’ psychological states through the electronic administration of questionnaires at times selected from a probability-based design as well as the event times. A method for fitting a mixed-Poisson point-process model is proposed for the impact of partially observed, time-varying covariates on the timing of repeated behavioral events. A random frailty is included in the point-process intensity to describe the variation in baseline rates of event occurrence among subjects. Covariate coefficients are estimated using estimating equations constructed by replacing the integrated intensity in the Poisson score equations with a design-unbiased estimator. An estimator is also proposed for the variance of the random frailties. Our estimators are robust in the sense that no model assumptions are made regarding the distribution of the time-varying covariates or the distribution of the random effects. However, subject effects are estimated under gamma frailties using an approximate hierarchical likelihood. The proposed approach is illustrated using smoking data.