Explain the logic of the Euclidian distance a) intuitively 2) mathematically 3) graphically. Now write down the
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Question:
Explain the logic of the Euclidian distance a) intuitively 2) mathematically 3) graphically. Now write down the formula of a “new measure of distance” with the following characteristics (no use of STATA is required).:
- The difference of two values of the same clustering variable are not squared but at the power of 4
- The 4th-powered distances (point a) above) of the differences are summed together (this is exactly as in the Euclidian distance)
- The whole sum is put under the Fourth-Root (4√)
- Calculate such new measure of distance for the following two items, X & Y on six clustering variables (A B C D E F)
A | B | C | D | E | F | |
X | 2 | 6 | 7 | 7 | 8 | 2 |
Y | 3 | 4 | 2 | 4 | 9 | 5 |
In your own words, explain what are the advantages and disadvantages of such new formula compared to the more “traditional” Euclidian distance.
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