Distance measure for symmetric binary variables

By Prof. Fazal Rehman Shamil
Last modified on November 10th, 2019

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).

procimity measure for symmetric binary attributes

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