A graphical tool for investigating unimodality of hyperspherical data is proposed. It is based on the notion of statistical data depth function for directional data which extends the univariate concept of rank. Firstly a local version of distance-based depths for directional data based on aims at analyzing the local structure of hyperspherical data is proposed. Then such notion is compared to the global version of data depth by means of a two-dimensional scatterplot, i.e. the GLD-plot. The proposal is illustrated on simulated and real data examples.

翻译：提出了用于调查超球数据单一模式的图形工具,该工具基于扩展单象级概念的方向数据统计数据深度功能概念。首先提出了基于分析超球数据当地结构的目的的定向数据局域版基于距离的深度数据,然后通过二维散射图(即GLD-plot)将这一概念与数据深度全球版本进行比较。该提案以模拟和真实数据示例为例。