- Distance and metric
- Dr. Nikolai's Chart
- Chart Examples

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(Chart Examples)

According to the Manhattan metric the distance is (see the previous section)

(2a) |

Instead of the mathematic formula or "metric" we can draw the following chart

Coordinate | Unit of measure | Factor | Value |

Width (X) | inch | 1 | 20 |

Length (Y) | foot | 12 | 2 |

Metric (Distance) |
inch | 1 | 1*20 + 12*2 = 44 |

The chart can be simpler if units and factors are the same:

Coordinate | Value |

Car price | $ P |

5-year service | $ S |

5-year gas | $ G |

5 year total | $ T = $ (P+S+G) |

This chart can be used for more realistic price comparison after substituting "P", "S" and "G" with real numbers.

As another example let us compare two purchase planes:

Plan: | "Expensive" | "Cheap" | ||

Coordinate | Factor | Value | Factor | Value |

Down payment | 1 | $ 5000 | 1 | $ 1000 |

Monthly payment | 36 | $ 350 | 72 | $ 250 |

Total | $ 17600 | $ 19000 |

"Expensive" plan gives the the following total: $5000*1 + $350*36 = $17000 and the "cheap" one gives $1000*1 + $250*72 = $19000. Now it is your choice to pay less monthly or total.

The chart can be extended for the use of such uncertain and qualitative features as the favorite color, make, model, brand, etc.

- First you should determine the values of that features. For example, you are ready to pay extra $500 for your favorite car color.
- You should add a row and put
**minus**$500 in the value column (or subtract the value). - Then you should put
**your**estimation of the fitness into the factor column (e.g. the actual yellow color 60% match your favorite gold color).

Coordinate | Value | Factor |

Car price | $ P | 100% |

5-year service | $ S | 100% |

5-year gas | $ G | 100% |

Color | - $500 | 60% |

5 year total | $ T = $ (P+S+G-0.6*500) |

According to this chart, the $20500 car with a perfect (100%) match has the the same value as the $20300 car with 60% match and as the $20000 car with 0% match.

This reflects **your own** value for the color. This is definitely a
subjective estimation but it is OK because ** you** buy a car for yourself. In other
words this chart is an **objective** metric for your **subjective**
preferences.

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(Chart Examples)

Please e-mail me at nikolai@shokhirev.com |

©Nikolai V. Shokhirev, 2002-2005