Department of Epidemiology, Bloomberg School of Public Health, Johns Hopkins University, Baltimore, MD, USA.
Am J Epidemiol. 2011 Sep 1;174(5):604-12. doi: 10.1093/aje/kwr121. Epub 2011 Aug 9.
The rate of decline of glomerular filtration rate (GFR) in children with chronic kidney disease (CKD) can vary, even among those with similar diagnoses. Classic regression methods applied to the log-transformed GFR (i.e., lognormal) quantify only rigid shifts in a given outcome. The generalized gamma distribution offers an alternative approach for characterizing the heterogeneity of effect of an exposure on a positive, continuous outcome. Using directly measured GFR longitudinally assessed between 2005 and 2010 in 529 children enrolled in the Chronic Kidney Disease in Children Study, the authors characterized the effect of glomerular CKD versus nonglomerular CKD diagnoses on the outcome, measured as the annualized GFR ratio. Relative percentiles were used to characterize the heterogeneity of effect of CKD diagnosis across the distribution of the outcome. The rigid shift assumed by the classic mixed models failed to capture the fact that the greatest difference between the glomerular and nonglomerular diagnosis' annualized GFR ratios was in children who exhibited the fastest GFR declines. Although this difference was enhanced in children with an initial GFR level of 45 mL/minute/1.73 m(2) or less, the effect of diagnosis on outcome was not significantly modified by level. Generalized gamma models captured heterogeneity of effect more richly and provided a better fit to the data than did conventional lognormal models.
肾小球滤过率(GFR)下降率在患有慢性肾脏病(CKD)的儿童中可能有所不同,即使在具有相似诊断的儿童中也是如此。应用于对数转换 GFR(即对数正态)的经典回归方法仅定量给定结果的刚性变化。广义伽马分布为描述暴露对阳性、连续结果的影响的异质性提供了另一种方法。作者使用在 2005 年至 2010 年期间直接测量的 529 名儿童慢性肾脏病儿童研究中的纵向 GFR,描述了肾小球 CKD 与非肾小球 CKD 诊断对结果的影响,结果以 GFR 比的年化率来衡量。相对百分位数用于描述 CKD 诊断在结果分布上的影响异质性。经典混合模型所假设的刚性转变未能捕捉到这样一个事实,即肾小球和非肾小球诊断的年化 GFR 比之间的最大差异出现在 GFR 下降最快的儿童中。尽管在初始 GFR 水平为 45 毫升/分钟/1.73 平方米或更低的儿童中,这种差异得到了增强,但诊断对结果的影响不受水平的显著影响。广义伽马模型比传统的对数正态模型更丰富地捕捉到了影响的异质性,并提供了更好的数据拟合。