论文标题

可视化和比较半盘密度条的分布

Visualizing and comparing distributions with half-disk density strips

论文作者

Santagiustina, Carlo Romano Marcello Alessandro, Iacopini, Matteo

论文摘要

我们提出了一个用户友好的图形工具,即半盘密度条(HDDS),用于可视化和比较概率密度函数。 HDD利用颜色阴影来以直观的方式表示分布。在单变量设置中,半盘密度条允许立即识别密度的关键特征,例如对称,分散和多模式。在多元设置中,我们定义HDD表以概括应急表的概念。它是半盘密度条的阵列,它紧凑地显示了感兴趣的变量的单变量和条件密度,以及调节变量的关节密度和边缘密度。此外,HDDS是通过施工非常适合轻松比较密度对的。为了强调提出的方法的具体好处,我们展示了如何使用HDDS来分析收入分配和生命满意度,从调查数据中有条件地基于连续和分类控制。实现HDDS方法的代码通过专用R软件包提供。

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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