Discrete Multivariate Analysis

by Bishop, Yvonne M. M.; Fienberg, Stephen E.; Holland, Paul W.; Light, Richard J. (COL); Mosteller, Frederick (COL)

• ISBN13: 9780387728056
• ISBN10: 0387728058
• Format: Paperback
• Copyright: 2007-07-20
• Publisher: Springer Verlag

Summary

The scientist searching for structure in large systems of data finds inspiration in his own discipline, support from modern computing, and guidance from statistical models. Because large sets of data are likely to be complicated, and because so many approaches suggest themselves, a codification of techniques of analysis, regarded as attractive paths rather than as straitjackets, offers the scientist valuable directions to try. The literature on discrete multivariate analysis, although extensive, is widely scattered. This book brings that literature together in an organized way.

Table of Contents

Introduction

Structural models for counted data

Maximum likelihood estimates for complete tables

Formal goodness of fit: Summary statistics and model selection

Maximum likelihood estimation for incomplete tables

Estimating the size of a closed population

Models for measuring change

Analysis of square tables: Symmetry and marginal homogeneity

Model selection and assessing closeness of fit: Practical aspects

Other methods for estimation and testing in cross-classifications

Measures of association and agreement

Pseudo-Bayes estimates of cell probabilites

Sampling models for discrete data

Asymptotic methods

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