Classification and Clustering : Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin at Madison, May 3–5, 1976

Classification and Clustering documents the proceedings of the Advanced Seminar on Classification and Clustering held in Madison, Wisconsin on May 3-5, 1976. This compilation discusses the relationship between multidimensional scaling and clustering, distribution problems in clustering, and botryology of botryology. The graph theoretic techniques for cluster analysis algorithms, data dependent clustering techniques, and linguistic approach to pattern recognition are also elaborated. This text likewise covers the discriminant analysis when scale contamination is present in the initial sample and statistical basis of computerized diagnosis using the electrocardiogram. Other topics include the simple histogram method for nonparametric classification and optimal smoothing of density estimates. This book is intended for mathematicians, biological scientists, social scientists, computer scientists, statisticians, and engineers interested in classification and clustering. Content: Front Matter, Page iii Copyright, Page iv List of Contributors, Pages vii-viii Preface, Pages ix-x, J. Van Ryzin Clustering and Classification: Background and Current Directions, Pages 1-15, Robert R. Sokal The Relationship between Multidimensional Scaling and Clustering, Pages 17-44, Joseph Kruskal Distribution Problems in Clustering, Pages 45-71, J.A. Hartigan The Botryology of Botryology, Pages 73-94, I.J. Good Graph Theoretic Techniques for Cluster Analysis Algorithms, Pages 95-129, David W. Matula An Empirical Comparison of Baseline Models for Goodness-of-Fit in r-Diameter Hierarchical Clustering, Pages 131-153, Lawrence J. Hubert, Frank B. Baker Data Dependent Clustering Techniques, Pages 155-173, Herbert Solomon Cluster Analysis Applied to a Study of Race Mixture in Human Populations, Pages 175-197, C. Radhakrishna Rao Linguistic Approach to Pattern Recognition, Pages 199-250, K.S. Fu Fuzzy Sets and Their Application to Pattern Classification and Clustering Analysis, Pages 251-299, L.A. Zadeh Discrimination, Allocatory and Separatory, Linear Aspects, Pages 301-330, Seymour Geisser Discriminant Analysis When Scale Contamination Is Present in the Initial Sample, Pages 331-353, Susan W. Ahmed, Peter A. Lachenbruch The Statistical Basis of Computerized Diagnosis Using the Electrocardiogram, Pages 355-369, Jerome Cornfield, Rosalie A. Dunn, Hubert V. Pipberger Linear Discrimination and Some Further Results on Best Lower Dimensional Representations, Pages 371-394, Raul Hudlet, Richard Johnson A Simple Histogram Method for Nonparametric Classification, Pages 395-421, Pi Yeong Chi, J. Van Ryzin Optimal Smoothing of Density Estimates, Pages 423-458, Grace Wahba Index, Pages 459-467 Clustering And Classification: Background And Current Directions / Robert R. Sokal -- The Relationship Between Multidimensional Scaling And Clustering / Joseph Kruskal -- Distribution Problems In Clustering / J.a. Hartigan -- The Botryology Of Botryology / I.j. Good -- Graph Theoretic Techniques For Cluster Analysis Algorithms / David W. Matula -- An Empirical Comparison Of Baseline Models For Goodness-of-fit In R-diameter Hierarchical Clustering / Lawrence J. Hubert, Frank B. Baker -- Data Dependent Clustering Techniques / Herbert Solomon -- Cluster Analysis Applied To A Study Of Race Mixture In Human Populations / C. Radhakrishna Rao -- Linguistic Approach To Pattern Recognition / K.s. Fu -- Fuzzy Sets And Their Application Pattern Classification And Clustering Analysis / L.a. Zadeh -- Discrimination, Allocatory And Separatory, Linear Aspects / Seymour Geisser -- Discriminant Analysis When Scale Contamination Is Present In The Initial Sample / Susan W. Ahmed, Peter A. Lachenbruch -- The Statistical Basis Of Computerized Diagnosis Using The Electrocardiogram / Jerome Cornfield, Rosalie A. Dunn, Hubert V. Pipberger -- Linear Discrimination And Some Further Results On Best Lower Dimensional Representations / Raul Hudlet, Richard Johnson -- A Simple Histogram Method For Nonparametric Classification / Pi Yeong, J. Van Ryzin -- Optimal Smoothing Of Density Estimates / Grace Wahba. Edited By J. Van Ryzin. Includes Bibliographies And Index.