Properties of individual differences scaling and its interpretation

John C. Gower, Niël J. Le Roux () and Sugnet Gardner-Lubbe ()
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John C. Gower: The Open University
Niël J. Le Roux: Stellenbosch University
Sugnet Gardner-Lubbe: Stellenbosch University

Statistical Papers, 2022, vol. 63, issue 4, No 9, 1245 pages

Abstract: Abstract Indscal models consider symmetric matrices $$\varvec{B}_{k}=\varvec{X}\varvec{W}_{k}\varvec{X}'$$ B k = X W k X ′ for $$k = 1, \ldots , K$$ k = 1 , … , K , where $$\varvec{X}: n \times R$$ X : n × R is a compromise matrix termed the group-average and $$\varvec{W}_{k}$$ W k is a diagonal matrix of weights given by the kth individual to the R, specified in advance, columns of $$\varvec{X}$$ X ; non-negative weights are preferred and usually $$R

Keywords: Alternating least squares; Analysis of variance; Indscal; Multidimensional data analysis; Pmindscal; 62H30; 65F35; 91C15; 91C20 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00362-021-01275-8

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