Class 2's TN FP FN values are perhaps wrong on the study materials, can you please explain or correct it

Question

On the final table of this URL https://learn.microsoft.com/en-us/training/modules/fundamentals-machine-learning/6-multiclass-classification

The Class 2' TN should be 5, FP should be 0, and FN should be 0; not as they are on this final table.

Do you agree or am I wrong?

I am studying for the Azure AI fundamental exam which will happen soon and would appreciate your answer.

Thank you

This question is related to the following Learning Module

Answer 1

Hi Van (Trang) Pham,

Thank you for reaching out to us on Microsoft Q&A forum.

As per the documentation, the provided values are accurate. Here is a clear explanation of the situation.

Let us calculate the TP, TN, FP, and FN values for the class 0 using the Above tricks:

TP: The actual value and predicted value should be the same. So, concerning 0 class, the value of cell 1 is the TP value.
TP= 2 (cell1)

FN: The sum of values of corresponding rows except for the TP value

FN = (cell 2 + cell3)

= (0 + 0)

= 0

FP: The sum of values of the corresponding column except for the TP value.

FP = (cell 4 + cell 7)

= (0 + 0)

= 0

TN: The sum of values of all columns and rows except the values of that class that we are calculating the values for.

TN = (cell 5 + cell 6 + cell 8 + cell 9)

= 2 + 0 +1 + 2

= 5

Similarly for class 2, the values are:

TP:  2 (cell 9)
FN: 0 + 1 = 1 (cell 7 +cell 8)

FP: 0 + 0 = 0 (cell 3 + cell 6)

TN: 2 +0 + 0 + 2 =4 (cell 1 + cell 2 + cell 4 + cell 5)

I trust that your query has been resolved satisfactorily.

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