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I have a 3 by 3 confusion matrix:

+---------+------+--------+-----+
|         | Good | Medium | Bad |
+---------+------+--------+-----+
| Class 1 | 314  | 176    | 95  |
+---------+------+--------+-----+
| Class 2 | 184  | 275    | 126 |
+---------+------+--------+-----+
| Class 3 | 87   | 134    | 364 |
+---------+------+--------+-----+

I would now like to state something about that elements of class 1 are more likely to be identified as 'good' compared to elements of class 3. Similarly, I want to compare class 2 with class 3 and class 1 with class 2 as well. What would be a correct statistical approach/test to do this?

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