Mallows' L2 distance in some multivariate methods and its application to histogram-type data
Košmelj, Katarina (Author), Billard, Lynne (Author)

URLURL - Presentation file, Visit http://www.stat-d.si/mz/mz9.1/kosmelj.pdf This link opens in a new window

Mallowsʼ L2 distance allows for decomposition of total inertia into within and between inertia according to Huygens theorem. It can be decomposed into three terms: the location term, the spread term and the shape term; a simple and straightforward proof of this theorem is presented. These characteristics are very helpful in the interpretation of the results for some distance-based methods, such as clustering by k-means and classical multidimensional scaling. For histogram-type data, Mallowsʼ L2 distance is preferable because its calculation is simple, even when the number and length of the histogramsʼ subintervals differ. An illustration of its use on population pyramids for 14 East European countries in the period 1995-2015 is presented. The results provide an insight into the information that this distance can extract from a complex dataset.

Keywords:statistične metode, statistika, klaster analiza, Mallows L2 razdalja, večrazsežnostno lestvičenje, MDS
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:BF - Biotechnical Faculty
Number of pages:Str. 107-118
Numbering:Vol. 9, no. 2
ISSN on article:1854-0023
COBISS.SI-ID:7389561 This link opens in a new window
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Record is a part of a journal

Title:Metodološki zvezki
Shortened title:Metodol. zv.
Publisher:Fakulteta za družbene vede
COBISS.SI-ID:215795712 This link opens in a new window

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