Jaccard coefficient similarity measure for asymmetric binary variables
By: Prof. Dr. Fazal Rehman | Last updated: December 26, 2023
How to calculate the similarity of an asymmetric binary variable using Jaccard coefficient?
There are many methods to calculate the similarity of data. Jaccard coefficient is one of them.Jaccard coefficient is used to calculate the similarity among asymmetric binary attributes.
Contingency table for binary data:
Object 2
Object 1
1 / True / Positive
0 / False / Negative
Sum
In table 1 we can consider the following facts.
A represents that object 1 is True and object 2 is also True.
B represents that object 1 is True and object 2 is False.
C represents that object 1 is False and object 2 is True.
D represents that object 1 is False and object 2 is also False.
Name
Fever
Cough
Test 1
Test 2
Test 3
Test 4
Asad
Negative
Yes
Negative
Positive
Negative
Negative
Bilal
Negative
Yes
Negative
Positive
Positive
Negative
Tahir
Positive
Yes
Negative
Negative
Negative
Negative
In table 2, Asad, Bilal and Tahir are objects. Negative values represent False and Positive represents Negative.
Consider 1 for positive/True and 0 for negative/False.
Similarly, we can calculate the similarity of one object with each other object.
Video Lecture
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Similarly, we can calculate the similarity of one object with each other object.