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THE ALGEBRAIC AND STATISTICAL TRACTABILITY OF THE CITY BLOCK METRIC
Author(s) -
Eisler Hannes
Publication year - 1973
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1973.tb00518.x
Subject(s) - mathematics , metric (unit) , block (permutation group theory) , transformation (genetics) , curse of dimensionality , algebraic number , statistics , mathematical analysis , combinatorics , operations management , biochemistry , chemistry , economics , gene
If the within‐dimensional ranks of the points are known, the equation defining a city block distance can be transformed into a linear equation with +1, −1 and 0 as coefficients. This transformation permits the common least‐squares solution for the coordinates as well as the application of regression analysis with the possibility of testing for dimensionality. Several problems are discussed, including how to obtain the within‐dimensional ranks.