<p>The Structural Representation of Proximity Matrices with MATLAB</p><p>Lawrence Hubert University of Illinois Urbana-Champaign Champaign, Illinois</p><p>Phipps Arabie Rutgers University Newark, New Jersey</p><p>Jacqueline Meulman Leiden University Leiden, The Netherlands</p><p>ASA-SIAM Series on Statistics and Applied Probability Contact Information:</p><p>Lawrence Hubert Lyle H. Lanier Professor of Psychology, Professor of Statistics and Educational Psychology</p><p>Department of Psychology The University of Illinois 603 East Daniel Street Champaign, Illinois 61820 217-333-6593 (Office) 217-377-1318 (Cell) ______</p><p>Phipps Arabie Professor of Management and Psychology</p><p>Department of Marketing Rutgers Business School of Newark and New Brunswick 180 University Avenue Newark, New Jersey 07102 ______</p><p>Jacqueline Meulman Professor of Applied Data Theory</p><p>Faculty of Social and Behavioral Sciences Leiden University P.O. Box 9555 2300 RB Leiden The Netherlands Possible back cover information:</p><p>The Structural Representation of Proximity Matrices with MATLAB provides and illustrates the use of functions (by way of M-files) within a MATLAB computational environment to effect a variety of structural representations for proximity information assumed available on a set of objects. The representations of interest have been developed primarily in the applied (behavioral science) statistical literature (e.g., in psychometrics and classification), although interest in these topics now extends much more widely (for example, to bioinformatics and chemometrics). </p><p>The monograph is divided into three main sections depending on the general class of representations being discussed. Part I develops linear and circular uni- and multi-dimensional scaling using the city-block metric as the major representational device; Part II discusses characterizations based on various graph-theoretic tree structures, and specifically with those usually referred to as ultrametrics and additive trees; Part III uses representations defined solely by order properties, and particularly to what are called (strongly) anti-Robinson forms. </p><p>Generally, two kinds of proximity information can be analyzed: one-mode and two-mode. One-mode proximity data are defined between the objects from a single set, and usually given in the form of a square symmetric matrix; two-mode proximity data are defined between the objects from two distinct sets, and given in the form of a rectangular matrix. In addition, there is typically the flexibility to allow the fitting (additively) of multiple structures to either the given one- or two-mode proximity information. </p><p>Lawrence Hubert is Professor of Psychology and Statistics at the University of Illinois Urbana-Champaign.</p><p>Phipps Arabie is Professor of Management and Psychology at Rutgers University, New Jersey. Jacqueline Meulman is Professor of Applied Data Theory in the Faculty of Social and Behavioral Sciences of Leiden University, The Netherlands. Major societies/journals for possible book reviews ------</p><p>Psychometric Society and Psychometrika: Carolyn Anderson, Department of Psychology, University of Illinois, 603 East Daniel St., Champaign, IL 61820.</p><p>Society for Mathematical Psychology and Journal of Mathematical Psychology: Richard A. Chechile, Department of Psychology, Tufts University, Medford, MA 02155.</p><p>Classification Society of North America and Journal of Classification: William D. Shannon, Washington University School of Medicine, Campus Box 8005, 660 Euclid Avenue, St. Louis, MO 63110.</p><p>British Psychology Society and British Journal of Mathematical and Statistical Psychology: Elizabeth Austin, Department of Psychology, University of Edinburgh, 7 George Square, Edinburgh, EH8 9JZ, UK.</p><p>American Statistical Association and Journal of the American Statistical Association: Robert B. Lund, Department of Mathematical Sciences, Clemson University, O-106 Martin Hall, Box 340975, Clemson, SC 29634-0975.</p><p>SIAM and SIAM Review: Robert E. O’Malley, Jr., University of Washington (detailed address not given in SIAM Review). </p><p>BOOK INFORMATION In this section, you are asked to provide some details of your forthcoming book. This important information will help us effectively promote and sell your book to targeted markets. </p><p>Title of book: The Structural Representation of Proximity Matrices with MATLAB</p><p>Subtitle:</p><p>Place an “X” next to any the following that apply to your book:</p><p>__x_ Preface ___ Foreword; Author of Foreword: ___ Dedication __x_ List of tables __x_ List of figures ___ Donation to the student travel fund</p><p>Please list 5 keywords that best describe your book: combinatorial optimization; least-squares optimization; unidimensional and multidimensional scaling; ultrametric and additive tree representations.</p><p>6. SIAM uses the following market class codes to identify the special interests of its members. Please place an "*" in front of the most appropriate one; place an "X" in front of up to 4 additional codes that you think apply to your book. </p><p>X 1 Linear algebra and matrix theory</p><p>* 5 Discrete mathematics and graph theory, including combinatorics, combinatorial optimization and networks</p><p>X 10 Statistics including data analysis and time series analysis.</p><p>X 25 Social sciences</p><p>Please choose one of the following subject areas that you feel is most appropriate for your book. This will be the subject under which your book will be listed in our catalog.</p><p>35. Statistics</p><p>Other societies use different group names to identify the special interests of their members. Please indicate which of the following societies' sections are appropriate for your book:</p><p>AMERICAN MATHEMATICAL SOCIETY (AMS) Statistics Operations Research and Math Programming Optimization</p><p>INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS (IEEE) Computer Graphics and Applications ASSOCIATION FOR COMPUTING MACHINERY (ACM) Special Interest Group on Knowledge Discovery in Data</p><p>AMERICAN STATISTICAL ASSOCIATION (ASA) Computing</p><p>SPECIAL LIBRARIES ASSOCIATION (SLA) Engineering</p><p>INSTITUTE FOR OPERATIONS RESEARCH AND MANAGEMENT SCIENCE (INFORMS) Optimization</p><p>7. Please choose and identify, by figure number, three illustrations from your book that you think best represent your book's subject matter and will attract the appropriate audience. One of these figures will be chosen for the cover of your book. (List only those illustrations we have permission to use in our advertising.)</p><p>The three tree-like structures in Figures 5.1, 6.2, and 10.1 would be appropriate for cover material.</p>
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