Das Gupta P
Demography. 1978 Feb;15(1):99-112.
In her work on the components of a difference between two rates, Kitagawa (1955) was successful in dividing the difference into the rate effect and the effect of the factor, for data classified by one factor. Her formulation for data classified by two factors, however, involves an interaction term which is difficult to interpret. Retherford and Cho (1973) devised a method that does not include any interaction terms. However, their method has other limitations, such as the dependence of the results on the order in which the effects of the factors are computed. In this paper, we provide a general method capable of handling any number of factors, which is developed along the lines suggested by Kitagawa and by Retherford and Cho but without the limitations of their methods.
在其关于两个比率差异构成要素的研究中，北川（1955年）成功地将差异分解为比率效应和因素效应，用于按单一因素分类的数据。然而，她针对按两个因素分类的数据所提出的公式涉及一个难以解释的交互项。雷瑟福德和赵（1973年）设计了一种不包含任何交互项的方法。然而，他们的方法存在其他局限性，比如结果依赖于计算因素效应的顺序。在本文中，我们提供了一种能够处理任意数量因素的通用方法，该方法是沿着北川以及雷瑟福德和赵所建议的思路发展而来，但不存在他们方法的局限性。
