Assignment Methods in Combinational Data Analysis

Assignment Methods in Combinational Data Analysis

by Lawrence Hubert
     
 

ISBN-10: 0824776178

ISBN-13: 9780824776176

Pub. Date: 01/28/2001

Publisher: Taylor & Francis

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

Overview

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.

Product Details

ISBN-13:
9780824776176
Publisher:
Taylor & Francis
Publication date:
01/28/2001
Series:
Statistics: A Series of Textbooks and Monographs Series, #73
Pages:
344
Product dimensions:
8.00(w) x 11.00(h) x 2.00(d)

Table of Contents

Prefaceiii
Part IApplications and Extensions of the Linear Assignment Model
Chapter 1The Linear Assignment Model3
1.1Introduction
1.2Background
1.3Applications of the LA Model
1.4Technical Issues in the LA Model
References
Chapter 2Evaluating the Correspondence Between Two Rectangular Matrices of the Same Size49
2.1Introduction
2.2Reduction of the Rectangular Matrix Comparison Task to a Linear Assignment Problem
2.3Applications of the Indices [Lambda]([rho]) and [Lambda]([phi])
2.4An Inference Model Based on Row and Column Matching
References
Chapter 3Extensions of the LA Model77
3.1Introduction
3.2Applications
3.3Two-Dependent Sample Problems
3.4Comparisons Between Related Linear Assignment Problems
References
Part IIApplications and Extensions of the Quadratic Assignment Model
Chapter 4The Quadratic Assignment Model121
4.1Introduction
4.2Background
4.3Applications of the QA Model
4.4Comparisons Between Related QA Problems
4.5Correlation Between QA (and LA) Indices
4.6Partial Association
References
Appendix
Chapter 5Extensions of the QA Model262
5.1Introduction
5.2Nonmultiplicative QA Indices
5.3Higher-Order Assignment Indices
5.4Bottleneck Indices
References
Chapter 6Multiple Proximity Matrices303
6.1Introduction
6.2Generalizations
References
Chapter 7Assignment Restrictions on the QA Model311
7.1Introduction
References
Index323

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