How to calculate proximity measure for symmetric binary attributes?
Contingency table for binary data:
|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|
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).