Last updated on:December 9th, 2018,

Proximity Measure for Nominal Attributes formula and example in data mining

How to calculate Proximity Measure for Nominal Attributes?

RollNoMarksGrade
190A
280B
382B
490A

 Try Our Automatic tool to find proximity measure  

Pairs for distance Measurement:

d(RollNo1,RollNo1)d(RollNo1,RollNo2)d(RollNo1,RollNo3)d(RollNo1,RollNo4)
d(RollNo2,RollNo1)d(RollNo2,RollNo2)d(RollNo2,RollNo3)d(RollNo2,RollNo4)
d(RollNo3,RollNo1)d(RollNo3,RollNo2)d(RollNo3,RollNo3)d(RollNo3,RollNo4)
d(RollNo4,RollNo1)d(RollNo4,RollNo2)d(RollNo4,RollNo4)d(RollNo3,RollNo4)

Formulae to calculate Proximity Measure for Nominal Attribute:

distance(object1, Object2) = P – M / P

P is total number of attributes

M is total number of matches

So in our case we have four objects RollNo1, RollNo2, RollNo3, RollNo4

d(1,1) = P – M / P

= 2 – 2 / 2

= 0

d(RollNo1,RollNo2)d(RollNo1,RollNo3)d(RollNo1,RollNo4)
(2,1) = P – M / P

= (2 – 0) / 2

= 1

(2,2) = P – M / P

= (2 – 2) / 2

= 0

d(RollNo2,RollNo3)d(RollNo2,RollNo4)
(3,1) = P – M / P

= (2 – 0) / 2

= 1

(3,2) = P – M / P

= (2 – 1 )/ 2

= 0.5

(3,3) = P – M / P

= (2 – 2 )/ 2

= 0

d(RollNo3,RollNo4)
(4,1) = P – M / P

= (2 – 2) / 2

= 0

(4,2) = P – M / P

= (2 – 0) / 2

= 1

(4,3) = P – M / P

=( 2 – 0 )/ 2

= 1

(4,4) = P – M / P

=( 2 – 2) / 2

= 0

 

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