Visualizing Statistical Models And Concepts

Hardcover (Print)
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Examines classic algorithms, geometric diagrams, and mechanical principles for enhancing visualization of statistical estimation procedures and mathematical concepts in physics, engineering, and computer programming.

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Editorial Reviews

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This graduate textbook presents geometric and mechanical models for statistical analysis. Farebrother (Victoria University of Manchester) examines the problem of determining the position of a multivariate location parameter and the problem of fitting a plane or curved surface to multivariate data when the goodness of fit criterion is variously defined by the sum of the squared deviations, the sum of the absolute deviation, the median absolute deviation, or the maximum absolute deviation. Annotation c. Book News, Inc., Portland, OR (
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Product Details

Table of Contents

Ch. 1 Introduction 1
Ch. 2 Abstract Geometrical and Mechanical Representations 13
Ch. 3 Mechanical Models for Multidimensional Medians 29
Ch. 4 Method of Least Squared Deviations 63
Ch. 5 Method of Least Absolute Deviation 97
Ch. 6 Minimax Absolute Deviation Method 143
Ch. 7 Method of Least Median of Squared Deviations 163
Ch. 8 Mechanical Models for Metric Graphs 177
Ch. 9 Categorical Data Analysis 191
Ch. 10 Method of Averages and Curve Fitting by Splines 207
Ch. 11 Multivariate Generalisations of the Method of Least Squares 219
List of Figures 233
List of Tables 241
Name Index 243
Subject Index 245
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