Data structure
Balanced matrix
Creating a chord diagram with a balanced matrix involves using a square matrix where the rows and columns represent the same categories, and the values indicate the relationships or flows between them. A balanced matrix means that the sum of the rows equals the sum of the columns for each category, often used to visualize symmetric relationships or flows in a system.
A
0
5
5
B
5
0
5
C
5
5
0
Unbalanced matrix
A chord diagram with an unbalanced matrix represents data where the sum of the rows does not necessarily equal the sum of the columns. This is common in many real-world scenarios where the flow or relationship between entities is not symmetric.
A
0
30
10
B
20
0
40
C
50
10
0
D
10
30
0
Interpretation
Thickness of Chords: The width of a chord segment for a category indicates the magnitude of flow from or to that category. If a chord is thicker on the left side where it connects to A, it shows that A is contributing more to another entity than it is receiving.
Disparities: Any visible disparity in the thickness of the chord at either end highlights the imbalance in the relationship.
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