Department of Biostatistics, School of Public Health, University of Washington, 6200 NE 74th Street, Seattle, WA 98115, USA.
Am J Epidemiol. 2010 Jan 15;171(2):189-97. doi: 10.1093/aje/kwp353. Epub 2009 Dec 9.
It is common in longitudinal studies for scheduled visits to be accompanied by as-needed visits due to medical events occurring between scheduled visits. If the timing of these as-needed visits is related to factors that are associated with the outcome but are not among the regression model covariates, naively including these as-needed visits in the model yields biased estimates. In this paper, the authors illustrate and discuss the key issues pertaining to inverse intensity rate ratio (IIRR)-weighted generalized estimating equations (GEE) methods in the context of a study of Kenyan mothers infected with human immunodeficiency virus type 1 (1999-2005). The authors estimated prevalences and prevalence ratios for morbid conditions affecting the women during a 1-year postpartum follow-up period. Of the 484 women under study, 62% had at least 1 as-needed visit. Use of a standard GEE model including both scheduled and unscheduled visits predicted a pneumonia prevalence of 2.9% (95% confidence interval: 2.3%, 3.5%), while use of the IIRR-weighted GEE predicted a prevalence of 1.5% (95% confidence interval: 1.2%, 1.8%). The estimate obtained using the IIRR-weighted GEE approach was compatible with estimates derived using scheduled visits only. These results highlight the importance of properly accounting for informative follow-up in these studies.
在纵向研究中,由于 scheduled visits 之间发生了 medical events,因此通常会伴随 as-needed visits。如果这些 as-needed visits 的时间与与结果相关但不在回归模型协变量中的因素有关,那么简单地将这些 as-needed visits 纳入模型会产生有偏差的估计。在本文中,作者以肯尼亚感染人类免疫缺陷病毒 1 型的母亲(1999-2005 年)的研究为例,说明了并讨论了与逆强度率比(IIRR)加权广义估计方程(GEE)方法相关的关键问题。作者估计了在产后 1 年随访期间影响妇女的病态状况的患病率和患病率比。在研究的 484 名妇女中,有 62%至少有一次 as-needed visit。使用包括 scheduled 和 unscheduled visits 的标准 GEE 模型预测肺炎的患病率为 2.9%(95%置信区间:2.3%,3.5%),而使用 IIRR 加权 GEE 预测的患病率为 1.5%(95%置信区间:1.2%,1.8%)。使用 IIRR 加权 GEE 方法获得的估计值与仅使用 scheduled visits 获得的估计值相吻合。这些结果强调了在这些研究中正确考虑信息性随访的重要性。