A General Statistical Framework for Adjustment of Rates
A General Statistical Framework for Adjustment of Rates
复制标题
利率调整的一般统计框架
DOI：
10.1177/0049124190019002002
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
Scott R. Eliason
中科院分区：
文献类型：
--
作者：
C. Clogg;James W. Shockey;Scott R. Eliason
提出了一个通用框架，它将人口统计学、生物识别学和其他领域常见的标准化程序与用于分析对数线性模型的统计方法相结合。一系列速率调整方法源自对数线性模型；传统的直接标准化方法是一个特例。早期方法的扩展包括（a）三因素相互作用的调整，（b）成分与群体之间边际关联的调整，（c）使用标准群体的调整，以及（d）控制边际成分-群体相互作用和三因素相互作用的调整。调整后的比率的统计推断可以通过多种方式促进：（a）通过提出可以用对数线性方法进行常规测试的关键假设，（b）通过有效的点和区间估计比率，（c）通过评估各组比率的绝对或相对比较的抽样变异性，以及（d）通过平滑数据。示例说明了所提出框架的灵活性。
A general framework is presented that integrates standardization procedures common in demography, biometrics, and other areas with statistical methodology for the analysis of log-linear models. A family of rate-adjustment methods is derived from the log-linear model; the conventional method of direct standardization is a special case. Extensions of earlier methods include (a) adjustment for three-factor interaction, (b) adjustment for marginal association between composition and group, (c) adjustments that use a standard group, and (d) adjustments that control for both marginal composition-group interaction and three-factor interaction. Statistical inference for adjusted rates is facilitated in several ways: (a) by presenting key hypotheses that can be tested routinely with log-linear methods, (b) by efficient point and interval estimation of rates, (c) by assessing the sampling variability of absolute or relative comparisons of rates across groups, and (d) by smoothing the data. Examples illustrate the flexibility of the proposed framework.