Liao T F
Department of Sociology, University of Georgia, Athens 30602.
Demography. 1989 Nov;26(4):717-26.
Conventional methods of decomposing the difference between two rates, such as Kitagawa's classic component analysis, are confined to taking the average of compositional differences. I propose a more general modeling approach involving three steps: (1) A system of equations with the various additive components of the rate difference is set up; (2) unknowns (refined rate differences) are estimated with Clogg's purging method; (3) the components are calculated. I use an example of U.S. mortality data to compare the proposed method with the conventional ones. The method can be generalized to decompositions for multiple groups and for multiple confounding factors. Kitagawa's method is a special case of this general approach.
分解两个比率差异的传统方法，如北川的经典成分分析法，仅限于对成分差异取平均值。我提出一种更通用的建模方法，包括三个步骤：（1）建立一个包含比率差异各种加法成分的方程组；（2）用克洛格的清除法估计未知数（细化的比率差异）；（3）计算各成分。我用美国死亡率数据的一个例子将所提出的方法与传统方法进行比较。该方法可以推广到多组和多个混杂因素的分解。北川的方法是这种通用方法的一个特例。
