Distance measure for symmetric binary variables
How to calculate proximity measure for symmetric binary attributes?
Contingency table for binary data:
Object 2 | ||||
Object 1 | 1 / True / Positive | 0 / False / Negative | Sum | |
1 / True / Positive | A | B | A + B | |
0 / False / Negative | C | D | C + D | |
Sum | A + C | B + D |
Name | Gender | Job_Status |
Akram | Male | Regular |
Ali | Male | Contract |
Consider 1 for positive/True and 0 for negative/False
Here we are considering Male and regular as positive and female and contract as negative.
A = Akram is positive and Ali is also positive. so A=1 because Ali and Akram both are male and the male is positive.
B = Akram is positive and Ali is negative. So B=1 because Akram is regular that is positive and Ali is on contract that is negative
C = Akram is negative and Ali is 1. So C = 0 because Akram is never negative. He is male and regular. and male and regular both are positive.
D = Akram is negative and Ali is also negative. So D=0 because Akram is never negative. He is always positive(male and regular).
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