THE MULTIDIMENSIONAL ANALYSIS OF ‘ELASTIC’ DISTANCES | Zendy

McGee Victor E. | Zendy

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THE MULTIDIMENSIONAL ANALYSIS OF ‘ELASTIC’ DISTANCES

Author(s) -

McGee Victor E.

Publication year - 1966

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.2044-8317.1966.tb00367.x

Subject(s) - thurstone scale , monotonic function , multidimensional scaling , judgement , scaling , mathematics , line (geometry) , function (biology) , computer science , mathematical optimization , mathematical analysis , statistics , geometry , evolutionary biology , political science , law , biology

A new orientation to the problem of multidimensional scaling is presented using the notion of ‘elastic’ distances. Making use of a rational theory of judgement variability (in line with Thurstone's remarks about discriminal processes); a monotonic distance function (in line with Shepard's suggestions); an algorithm for determining the monotonic transformations at each iteration (as provided by Kruskal); and a criterion which yields information about the tolerance for variability of judgement that any solution demands, a hybrid analytical approach is proposed as a practical multidimensional scaling procedure. The approach is illustrated using experimental data.

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