Similarity coefficients for binary data : properties of coefficients, coefficient matrices, multi-way metrics and multivariate coefficients

Leiden Repository

Similarity coefficients for binary data : properties of coefficients, coefficient matrices, multi-way metrics and multivariate coefficients

Type: Doctoral Thesis
Title: Similarity coefficients for binary data : properties of coefficients, coefficient matrices, multi-way metrics and multivariate coefficients
Author: Warrens, M.J.
Issue Date: 2008-06-25
Keywords: Measures for 2×2 tables
Correction for chance
Robinson matrices
Multi-way metricity
Abstract: In data analysis, an important role is played by similarity coefficients. A similarity coefficient is a measure of resemblance or association of two entities or variables. Similarity coefficients for binary data are used, for example, in biological ecology for measuring the degree of coexistence between two species type over different locations, or in psychology for a 2×2 reliability study where two observers classify a sample of subjects using a dichotomous response. In choosing a coefficient, a measure has to be considered in the context of the data-analytic study of which it is a part. Because there are so many similarity coefficients for binary data to choose from, it is important that the different coefficients and their properties are better understood. The dissertation contains a mathematical approach to the analysis of similarity coefficients for binary data. A variety of data-analytic properties are considered for various coefficients it is established whether they possess the property or not. Part I contains results on correction for chance and maximum value. In part II sufficient conditions for Robinson matrices and some mathematical properties of multiple correspondence analysis are presented. In part III various two-way notions are generalized to the multi-way case. Part IV contains formulations of multi-way coefficients.
Promotor: Supervisor: Heiser W.J. Co-Supervisor: Gruijter D.N.M. de
Faculty: Faculty of Social and Behavioural Sciences
University: Leiden University
Uri: urn:isbn:9789088910524
Handle: http://hdl.handle.net/1887/12987
 

Files in this item

Description Size View
application/pdf Full text 2.293Mb View/Open
application/pdf Cover 252.0Kb View/Open
application/pdf Title pages_Acknowledgements_Contents 49.17Kb View/Open
application/pdf Prologue 55.68Kb View/Open
application/pdf Part 1 423.2Kb View/Open
application/pdf Part 2 359.7Kb View/Open
application/pdf Part 3 308.3Kb View/Open
application/pdf Part 4 271.8Kb View/Open
application/pdf References 91.56Kb View/Open
application/pdf Lists_Indices 98.41Kb View/Open
application/pdf Summary in Dutch 44.97Kb View/Open
application/pdf Curriculum vitae 18.49Kb View/Open
application/pdf Propositions 33.52Kb View/Open

This item appears in the following Collection(s)