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Radar chart

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A radar chart is a graphical method used to display multivariate data. This means it shows many different quantitative variables at the same time on a two-dimensional plane.

Spider Chart2
Spider Chart2

Instead of using a standard X and Y axis, the chart uses several axes that all start from a single central point. These axes are called radii, or spokes. Because the lines connecting the data points create a shape that resembles a web or a star, these charts are often called spider charts, web charts, or star plots. They are also known by technical names like Kiviat diagrams, polar charts, or irregular polygons. By turning complex numbers into a visual shape, they help researchers see patterns that might be hidden in a simple list of figures.

To understand how a radar chart works, you must look at its specific mechanism. The chart consists of a sequence of equi-angular spokes radiating from the center. Each spoke represents one specific variable from the data set. The length of the line drawn on each spoke is proportional to the magnitude of that variable.

Star Plot of 16 cars
Star Plot of 16 cars

For example, if one variable represents speed and another represents fuel efficiency, a higher value for speed will result in a longer spoke. Once the data points are marked on each spoke, a line is drawn to connect them all together. This creates a closed polygon that represents a single observation. If you want to compare many observations, you can arrange these star-shaped figures in a rectangular array on a single page.

There are different ways to organize these charts to reveal specific information. One method is to use heuristics, such as algorithms that plot data to create the maximal total area. This can help sort the axes into positions that reveal correlations or trade-offs between variables. Another way to use them is in a multi-plot format. In this setup, each star on the page represents one individual observation. This allows a viewer to look for clusters, which are groups of observations that are very similar to one another. It also makes it easy to spot outliers, which are data points that look very different from the rest of the group.

MER Star Plot
MER Star Plot

The history of this visualization tool dates back to the late 19th century. The star plot was first used by Georg von Mayr in 1877. Since that time, the chart has evolved into many different forms used in various scientific fields. It is mathematically equivalent to a parallel coordinates plot, but with the axes arranged radially rather than in parallel lines. Today, the chart is a staple in many industries because it can handle an arbitrary number of variables. Whether it is called a cobweb chart or a star chart, the core purpose remains the same: to provide a centralized visualization of complex, multi-dimensional data.

Radar charts are used in many professional fields to provide deep insights.

MLB2021ShoheivsLeague
MLB2021ShoheivsLeague

In sports, they are used to chart the strengths and weaknesses of players. For instance, a baseball player's batting stats can be plotted to compare them against league averages. Coaches can use these charts to see if a player excels in certain areas, like home runs, or struggles in others, like strikeout percentages. In the life sciences, researchers use them to compare medications. They might rank variables like efficacy, cost, and side effects on a scale of one to ten to see how different drugs compare. Even computer programmers use them to analyze the performance of sorting algorithms by measuring speed, memory usage, and power usage.

Despite their usefulness, radar charts have notable limitations and can sometimes distort the truth. One major issue is that it is difficult for the human eye to judge radial distances accurately. While concentric circles can act as grid lines to help, they do not make the task perfect. Another problem is that the area inside the shape can be misleading. This is because the area of the polygon grows as the square of the linear measures.

3VehiclePerformanceMetrics
3VehiclePerformanceMetrics

For example, if you have five variables ranging from 1 to 100, a chart where all values are 90 will have an area more than 10% larger than a chart where all values are 82. This can exaggerate the perceived difference between two data sets.

Finally, it is important to understand how radar charts relate to the structure of data. They can impose an artificial cyclic structure because the first and last variables are placed next to each other on the circle. This can create a false sense of connection between unrelated neighbors. They are also best suited for small-to-moderate-sized data sets. If a chart attempts to display more than a few hundred points, it can become cluttered and overwhelming. When too many samples are overlapped, the lines and areas can bleed into each other, making it hard to distinguish one sample from another.

Wiki Radar Chart Example
Wiki Radar Chart Example
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🖼️ Images & Media (7)
File:MER Star Plot.gif
MER Star Plot.gif
File:Spider Chart2.jpg
Spider Chart2.jpg
File:MLB2021ShoheivsLeague.png
MLB2021ShoheivsLeague.png
File:3VehiclePerformanceMetrics.png
3VehiclePerformanceMetrics.png
File:Wiki Radar Chart Example.png
Wiki Radar Chart Example.png
File:Star_Plot_of_16_cars.jpg
Star_Plot_of_16_cars.jpg
File:Star plot Detail.gif
Star plot Detail.gif
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