The table below shows a list of 20 observations and an estimated probability of
ID: 3294297 • Letter: T
Question
The table below shows a list of 20 observations and an estimated probability of Class 1 membership
given by XLMiner. The cutoff value is 0.60. Based on the given information, answer the following questions.
Actual Class
Probability of Class 1
Actual Class
Probability of Class 1
1
1.00
1
0.55
0
1.00
1
0.52
1
0.99
1
0.49
0
0.98
0
0.48
1
0.96
1
0.44
1
0.88
1
0.41
1
0.82
0
0.36
0
0.75
0
0.24
0
0.66
1
0.13
1
0.56
0
0.01
Complete the classification confusion matrix below.
Predicted Class
Actual class
1
0
1
N11=
N10=
0
N01=
N00=
Compute the overall error rate.
Compute the Class 1 error rate.
Compute the Class 0 error rate.
Besides the overall error rate, why we also need the Class 1 error rate and Class 0 error rate?
Actual Class
Probability of Class 1
Actual Class
Probability of Class 1
1
1.00
1
0.55
0
1.00
1
0.52
1
0.99
1
0.49
0
0.98
0
0.48
1
0.96
1
0.44
1
0.88
1
0.41
1
0.82
0
0.36
0
0.75
0
0.24
0
0.66
1
0.13
1
0.56
0
0.01
Explanation / Answer
The cutoff value is 0.60, upon getting a probability of equal or greater than 0.60 we would assign the observation to class 1.
Actual Class
Overall Error Rate = (11*100/20)% = 55%
Class 1 Error Rate = (7*100/12)% = 58.33%
Class 0 error Rate = (4*100/8)% = 50%
Besides the overall error rate, we also need the Class 1 error rate and Class 0 error rate to calculate the specificity and sensitivity of the prediction.
Predicted ClassActual Class
1 0 Total 1 N11= 5 N10= 7 12 0 N01= 4 N00= 4 8 Total 9 11 20Related Questions
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