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How to Read a Confusion Matrix?
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Let us consider the following confusion matrix:
| Class observed | ||||||||||
| Class expected | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Unclassified |
| 1 | 99.78 | - | - | - | - | 0.22 | - | - | - | - |
| 2 | 3.92 | 96.08 | - | - | - | - | - | - | - | - |
| 3 | - | - | 96.73 | 3.27 | - | - | - | - | - | - |
| 4 | - | - | 0.51 | 94.12 | 5.37 | - | - | - | - | - |
| 5 | - | - | - | 20.48 | 79.52 | - | - | - | - | - |
| 6 | 8.50 | - | - | - | - | 91.50 | - | - | - | - |
| 7 | - | - | 0.65 | 0.22 | - | - | 97.60 | 1.53 | - | - |
| 8 | - | - | - | - | - | - | - | 100.00 | - | - |
| 9 | - | - | - | - | - | - | - | - | 100.00 | - |
If we consider
the first line, we get:
| Class expected | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Unclassified |
| 1 | 99.78 | - | - | - | - | 0.22 | - | - | - | - |
After classification of the pixels of the image, we expect that all the
pixels which belong to class 1 have been classified in class 1. But we
observe that:
The sum of the observations of each line of the matrix is equal to 100% . Here, for the line considered, we have 99.78+ 0.22= 100.
Consider now
the 2 following lines:
| Class observed | ||||||||||
| Class expected | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Unclassified |
| 7 | - | - | 0.65 | 0.22 | - | - | 97.60 | 1.53 | - | - |
| 9 | - | - | - | - | - | - | - | - | 100.00 | - |
After classification, we observe that :
The sum of the percentages of the line is equal to 0.65+ 0.22+ 97.60+ 1.53= 100%