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).:

1. The difference of two values of the same clustering variable are not squared but at the power of 4
2. The 4^th-powered distances (point a) above) of the differences are summed together (this is exactly as in the Euclidian distance)
3. 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.

Answer rating: 100% (QA)

a intuitively The Euclidean distance is the straightline distance ... View the full answer