Code for "A NEW METHOD FOR IDENTIFYING THE ROLE OF MARITAL PREFERENCES AT SHAPING MARRIAGE PATTERNS"

Naszodi, Anna and Francisco Mendonca (2021) A new method for identifying the role of marital preferences at shaping marriage patterns. Journal of Demographic Economics, 1-27. doi: https://doi.org/10.1017/dem.2021.1 Naszodi and Mendonca (2021) develop a new method for transforming contingency tables. The transformation preserves the Liu-Lu matrix of the table while making the marginal distributions equal to their target marginals. This transformation is essential for counterfactual decompositions where assortativity in marital preferences is assumed to be characterized by the measure proposed by Liu and Lu (2006) for dichotomous assorted trait variables, or by the generalized Liu-Lu matrix (developed by Naszodi and Mendonca for polytomous ordered assorted trait variables). Naszodi and Mendonca (2021) illustrate the application of the new method by a counterfactual decomposition. They decompose changes in the prevalence of homogamy in the US between 1980 and 2010. The uploaded files allow one to replicate all the calculations in the paper and to apply the new method in other empirical settings as well. The method is suitable for analyzing marital sorting along a polytomous ordered trait variables (such as the highest level of educational attainment, or income bracket), but also for analyzing inter-generational mobility. The new method is implemented in Excel, Visual Basic, and R.

纳佐迪（Anna Naszodi）与弗朗西斯科·门东萨（Francisco Mendonça）（2021）发表了题为《识别婚姻偏好对婚姻模式塑造作用的新方法》的研究，刊载于《Journal of Demographic Economics》（《人口经济学杂志》），页码范围1-27，DOI为https://doi.org/10.1017/dem.2021.1。

纳佐迪与门东萨（2021）开发了一种用于列联表转换的全新方法。该转换操作可保留列联表的刘-卢矩阵（Liu-Lu matrix），同时令其边缘分布（marginal distributions）与预设的目标边缘分布保持一致。该转换方法对于反事实分解（counterfactual decompositions）具有核心意义，在这类分解中，婚姻偏好的同配性（assortativity）被设定以两种测度进行表征：其一为针对二分分类性状变量（dichotomous assorted trait variables）的刘与卢（2006）提出的测度，其二为针对多分类有序性状变量（polytomous ordered assorted trait variables）、由纳佐迪与门东萨开发的广义刘-卢矩阵（generalized Liu-Lu matrix）。

纳佐迪与门东萨（2021）通过一项反事实分解案例演示了新方法的应用：他们对1980年至2010年美国同质婚配（homogamy）的发生率变化进行了分解。本次上传的数据集文件可用于复现论文中的全部计算流程，同时也可将该新方法应用于其他实证研究场景。

该方法适用于分析多分类有序性状维度下的婚姻匹配排序（例如最高受教育程度或收入区间），同时也可用于代际流动（inter-generational mobility）的相关研究。本新方法已通过Excel、Visual Basic以及R语言实现。