Combinatorial data analysis: Association and partial association
type: Item
instance of: scholarly article
title: Combinatorial data analysis: Association and partial association
zbMATH Open document ID: 0625.62002
DOI: 10.1007/BF02296263
author: Lawrence Hubert
published in: Psychometrika
publication date: 1985-01-01T00:00:00Z
review text: A combinatorial data analysis strategy is reviewed that is designed to compare two arbitrary measures of proximity defined between the objects from some set. Based on a particular crossproduct definition of correspondence between these two numerically specified notions of proximity (typically represented in the form of matrices), extensions are then pursued to indices of partial association that relate the observed pattern of correspondence between the first two proximity measures to a third. The attendant issues of index normalization and significance testing are discussed; the latter is approached through a simple randomization model implemented either through a Monte Carlo procedure or distributional approximations based on the first three moments. Applications of the original comparison strategy and its extensions to partial association may be developed for a variety of methodological and substantive tasks. Besides rank correlation, we emphasize the topics of spatial autocorrelation for one variable and spatial association between two and mention the connection to the usual randomization approach for one-way analysis-of-variance.
Mathematics Subject Classification ID: 62-07
Mathematics Subject Classification ID: 62H20
Mathematics Subject Classification ID: 62H99
zbMATH DE Number: 4015902
zbMATH Keywords: permutation tests
zbMATH Keywords: combinatorial data analysis
zbMATH Keywords: measures of proximity
zbMATH Keywords: indices of partial association
zbMATH Keywords: index normalization
zbMATH Keywords: significance testing
zbMATH Keywords: randomization model
zbMATH Keywords: rank correlation
zbMATH Keywords: spatial autocorrelation
zbMATH Keywords: spatial association
zbMATH Keywords: one-way analysis-of-variance
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02296263
OpenAlex ID: W2016157517
description: scientific article; zbMATH DE number 4015902