Modelling trends in ordered correspondence analysis using orthogonal polynomials

Title: Modelling trends in ordered correspondence analysis using orthogonal polynomials
Creator: Lombardo, Rosaria; Beh, Eric J.; Kroonenberg, Pieter M.
Relation: Psychometrika Vol. 81, Issue 2, p. 325-349
Publisher Link: http://dx.doi.org/10.1007/s11336-015-9448-y
Publisher: Springer
Resource Type: journal article
Date: 2016
Description: The core of the paper consists of the treatment of two special decompositions for correspondence analysis of two-way ordered contingency tables: the bivariate moment decomposition and the hybrid decomposition, both using orthogonal polynomials rather than the commonly used singular vectors. To this end, we will detail and explain the basic characteristics of a particular set of orthogonal polynomials, called Emerson polynomials. It is shown that such polynomials, when used as bases for the row and/or column spaces, can enhance the interpretations via linear, quadratic and higher-order moments of the ordered categories. To aid such interpretations, we propose a new type of graphical display-the polynomial biplot.
Subject: symmetric and non-symmetric correspondence analysis; generalized singular value decomposition; bivariate moment decomposition; hybrid decomposition; polynomial biplots
Identifier: http://hdl.handle.net/1959.13/1319459
Identifier: uon:23871
Identifier: ISSN:0033-3123
Language: eng
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