2005
DOI: 10.1016/j.csda.2004.03.007
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Homogeneity analysis using absolute deviations

Abstract: ABSTRACT. Homogeneity analysis is a technique for making graphical representations of categorical multivariate data sets. Such data sets can also be represented by the adjacency matrix of a bipartite graph. Homogeneity analysis optimizes a weighted least squares criterion and the optimal graph drawing is computed by an alternating least squares algorithm. Heiser (1987) looked at homogeneity analysis under a weighted least absolute deviations criterion. In this paper, we take a closer look at the mathematical s… Show more

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Cited by 11 publications
(5 citation statements)
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“…Homogeneity analysis may also be understood as a Multiple Correspondence Analysis or as a Principle-Components Analysis for nominal data. According to Michailidis and De Leeuw (2005), Homogeneity Analysis is a graphical method for analyzing categorical data. It is a general and flexible framework that can accommodate multiple types of data.…”
Section: Methodsmentioning
confidence: 99%
“…Homogeneity analysis may also be understood as a Multiple Correspondence Analysis or as a Principle-Components Analysis for nominal data. According to Michailidis and De Leeuw (2005), Homogeneity Analysis is a graphical method for analyzing categorical data. It is a general and flexible framework that can accommodate multiple types of data.…”
Section: Methodsmentioning
confidence: 99%
“…The homogeneity function optimises a weighted least-squares criterion and the optimal graph layout is computed by an alternating least squares algorithm (Michailidis & De Leeuw, 2005). In essence this analysis for categorical data uses a loss function and algorithm for finding the optimal solution.…”
Section: [Table 1 Here]mentioning
confidence: 99%
“…In Michailides and de Leeuw [2003] we discuss WCA for p > 1. The reduction to a zero-one programming problem, and the possibility to find the optimum solution by enumeration, no longer applies there.…”
Section: Additional Orthogonal Dimensionsmentioning
confidence: 99%
“…using the same normalization conditions on X . The WCA problem was first discussed by Heiser [1987], and we discuss it in general in Michailides and de Leeuw [2003].…”
Section: Introductionmentioning
confidence: 99%