用半圆盘密度带显示和比较分布
Visualizing and comparing distributions with half-disk density strips
摘要：
我们提出了一个用户友好的图形工具，半盘密度带（HDDS），可视化和比较概率密度函数。HDDS利用颜色阴影以直观的方式表示分布。在单变量设置中，半圆盘密度条允许立即辨别密度的关键特征，例如对称性，分散性和多模态。在多元设置中，我们定义了HDDS表来推广列联表的概念。它是一个半圆盘密度条阵列，它可以完整地显示感兴趣变量的单变量边际密度和条件密度，以及条件变量的联合密度和边际密度。此外，HDD的构造非常适合于容易地比较密度对。为了强调所提出的方法的具体好处，我们展示了如何使用HDDS根据调查数据在连续和绝对控制的条件下分析收入分配和生活满意度。实现HDDS方法的代码通过专用的R包提供。
英文摘要：
We propose a user-friendly graphical tool, the half-disk density strip (HDDS), for visualizing and comparing probability density functions. The HDDS exploits color shading for representing a distribution in an intuitive way. In univariate settings, the half-disk density strip allows to immediately discern the key characteristics of a density, such as symmetry, dispersion, and multi-modality. In the multivariate settings, we define HDDS tables to generalize the concept of contingency tables. It is an array of half-disk density strips, which compactly displays the univariate marginal and conditional densities of a variable of interest, together with the joint and marginal densities of the conditioning variables. Moreover, HDDSs are by construction well suited to easily compare pairs of densities. To highlight the concrete benefits of the proposed methods, we show how to use HDDSs for analyzing income distribution and life-satisfaction, conditionally on continuous and categorical controls, from survey data. The code for implementing HDDS methods is made available through a dedicated R package.
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