# How to calculate Proximity Measure for Nominal Attributes?

RollNo |
Marks |
Grade |

1 | 90 | A |

2 | 80 | B |

3 | 82 | B |

4 | 90 | A |

** 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 |

## Video Lecture

## Next Similar Tutorials

- Proximity Measure for Nominal Attributes – Click Here
- Distance measure for asymmetric binary attributes – Click Here
- Distance measure for symmetric binary variables – Click Here
- Euclidean distance in data mining – Click Here Euclidean distance Excel file – Click Here
- Jaccard coefficient similarity measure for asymmetric binary variables – Click Here

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