测量图表在图形统计中的相似性
Krzysztof Górnisiewicz1, Zbigniew Palka2, Waldemar Ratajczak3
1Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznan, Poland. krisgorn@amu.edu.pl.
Scientific reports
|March 23, 2024
概括
新的图形理论指标提供了一种定量方法来评估统计数字的相似性. 这增强了复杂数据可视化的分析,如合唱图和雷达图.
科学领域:
- 统计 统计 统计 统计
- 图形理论 图形理论
- 数据可视化 数据可视化
背景情况:
- 像地图和图表这样的统计数字对于数据分析至关重要.
- 在这些图中,对几何相似性的视觉评估往往是不够的.
- 数据的复杂性和多样性需要强大的相似度指标.
研究的目的:
- 提出和证明用于量化统计数字相似性的新型指标.
- 为了快速准确地评估各种图表中的几何相似性.
- 增强各种数据可视化类型的分析能力.
主要方法:
- 开发基于图形理论原则的新指标.
- 拟议的相似度指标的理论理由.
- 将指标应用于现实世界的数据集和图表类型.
主要成果:
- 对航空公司航线网络,选举数据和国家竞争力雷达图表的成功应用.
- 在分析中性素双线图的过程中证明了有效性.
- 多种统计数据的量化相似性.
结论:
- 拟议的基于图形理论的指标为相似性分析提供了一个强大的工具.
- 这些指标提高了统计数据的分析能力.
- 有助于更深入地理解复杂的数据表示.
相关概念视频
Bar Graph
16.4K
A bar graph is also called a bar chart and consists of bars that are separated from each other. It either uses horizontal or vertical bars to show comparisons among categories. The bars can be rectangles, or they can be rectangular boxes (used in three-dimensional plots). One axis of the graph represents the specific categories being compared, and the other axis shows a discrete value. In this graph, the length of the bar for each category is proportional to the number or percent of individuals...
16.4K
Multiple Bar Graph
5.1K
As the name suggests, a multiple bar graph is the same as a bar graph but has multiple bars to depict relationships between different data values. One can include as many parameters as possible. However, each parameter must have the same unit of measurement.
Each bar or column in the multiple bar graph represents a data value. These graphs are used primarily in interrelating two or more sets of data. The categories of different kinds of data are listed along the horizontal or x-axis, whereas...
Each bar or column in the multiple bar graph represents a data value. These graphs are used primarily in interrelating two or more sets of data. The categories of different kinds of data are listed along the horizontal or x-axis, whereas...
5.1K
Interpreting R Charts
63
R chart, or range chart, is a fundamental tool in statistical process control used to monitor the variability within a process. It complements the X-bar (x̄) chart by focusing on the range of the data, rather than individual values, providing a clear picture of the process dispersion over time.
An R chart plots the range of subsets of measurements collected from a process. Each point on the chart represents the range—defined as the difference between the maximum and minimum...
An R chart plots the range of subsets of measurements collected from a process. Each point on the chart represents the range—defined as the difference between the maximum and minimum...
63
Relative Frequency Histogram
5.4K
The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
5.4K
Run Charts
59
Run charts serve as an essential instrument for visualizing the performance of various processes over time, enabling the identification of trends and patterns crucial for quality improvement. These charts map out a series of data points chronologically, offering insights into the stability and efficiency of a process. A run chart's creation involves plotting data points on a graph, with the time intervals on the horizontal axis and the specific measurements on the vertical axis. For...
59
Time-Series Graph
4.4K
A time-series graph is a line graph with repeated measurements taken at successive intervals of time. It is also called a time series chart. To construct a time-series graph, one must look at both pieces of a paired data set. The horizontal axis is used to plot the time increments, and the vertical axis is used to plot the values of the variable that one is measuring. By using the axes in this way, each point on the graph will correspond to time and a measured quantity. The points on the graph...
4.4K


