The dimensionality of discrete factor analyses

John Levi Martin ()
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John Levi Martin: University of Chicago

Quality & Quantity: International Journal of Methodology, 2016, vol. 50, issue 6, No 8, 2467 pages

Abstract: Abstract This article discusses a solution to Coombs’s project of a discrete, ordinal factor analysis for dichotomous data that is structurally homologous to Galois lattice analysis and to other related algebraic approaches. It compares this approach to the better known “biorder” approach to the same problem. In contrast to the biorder approach which is NP-hard, here the set of minimal solutions can be determined with a reasonably simple coloration algorithm. The dimensionality of the resulting solution may be larger than that retrieved by the closely related biorder approach, but the underlying space may be more parsimonious in that there are fewer possible regions. In a class of reasonably important cases, the two are equivalent.

Keywords: Algebraic; Lattice; Coombs; Discrete; Biorder (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s11135-015-0271-4

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