Assignment Methods in Combinational Data Analysis

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For the first time in one text, this handy pedagogical reference presents comprehensive inference strategies for organizing disparate nonparametric statistics topics under one scheme, illustrating ways of analyzing data sets based on generic notions of proximity (of "closeness") between objects. Assignment Methods in Combinatorial Data Analysis specifically reviews both linear and quadratic assignment models ... covers extensions to multiple object sets and higher-order assignment indices ... considers methods of applying linear assignment models in common data analysis contexts ... discusses a second motion of assignment (or "matching") based upon pairs of objects ... explores confirmatory methods of augmenting multidimensional sealing, cluster analysis, and related techniques ... labels sections in order of priority for continuity and convenience ... and includes extensive bibliographies of related literature. Assignment Methods in Combinatorial Data Analysis gives authoritative coverage of statistical testing, and measures of association in a single source. It is required reading and an invaluable reference for researchers and graduate students in the behavioral and social sciences using quantitative methods of data representation.
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Product Details

Table of Contents

Preface iii
Part I Applications and Extensions of the Linear Assignment Model
Chapter 1 The Linear Assignment Model 3
1.1 Introduction
1.2 Background
1.3 Applications of the LA Model
1.4 Technical Issues in the LA Model
Chapter 2 Evaluating the Correspondence Between Two Rectangular Matrices of the Same Size 49
2.1 Introduction
2.2 Reduction of the Rectangular Matrix Comparison Task to a Linear Assignment Problem
2.3 Applications of the Indices [Lambda]([rho]) and [Lambda]([phi])
2.4 An Inference Model Based on Row and Column Matching
Chapter 3 Extensions of the LA Model 77
3.1 Introduction
3.2 Applications
3.3 Two-Dependent Sample Problems
3.4 Comparisons Between Related Linear Assignment Problems
Part II Applications and Extensions of the Quadratic Assignment Model
Chapter 4 The Quadratic Assignment Model 121
4.1 Introduction
4.2 Background
4.3 Applications of the QA Model
4.4 Comparisons Between Related QA Problems
4.5 Correlation Between QA (and LA) Indices
4.6 Partial Association
Chapter 5 Extensions of the QA Model 262
5.1 Introduction
5.2 Nonmultiplicative QA Indices
5.3 Higher-Order Assignment Indices
5.4 Bottleneck Indices
Chapter 6 Multiple Proximity Matrices 303
6.1 Introduction
6.2 Generalizations
Chapter 7 Assignment Restrictions on the QA Model 311
7.1 Introduction
Index 323
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