Lectures on Advanced Topics in Categorical Data Analysis / by Tamás Rudas.

Format:

Book

Author/Creator:

Rudas, Tamás.

Series:

Springer Texts in Statistics, 2197-4136

Language:

English

Subjects (All):

Statistics.

Social sciences--Statistical methods.

Social sciences.

Biometry.

Statistical Theory and Methods.

Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy.

Biostatistics.

Local Subjects:

Statistical Theory and Methods.

Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy.

Biostatistics.

Physical Description:

1 online resource (385 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2024.

Summary:

This book continues the mission of the previous text by the author, Lectures on Categorical Data Analysis, by expanding on the introductory concepts from that volume and providing a mathematically rigorous presentation of advanced topics and current research in statistical techniques which can be applied in the social, political, behavioral, and life sciences. It presents an intuitive and unified discussion of an array of themes in categorical data analysis, and the emphasis on structure over stochastics renders many of the methods applicable in machine learning environments and for the analysis of big data. The book focuses on graphical models, their application in causal analysis, the analytical properties of parameterizations of multivariate discrete distributions, marginal models, and coordinate-free relational models. To guide the readers in future research, the volume provides references to original papers and also offers detailed proofs of most of the significant results. Like the previous volume, it features exercises and research questions, making it appropriate for graduate students, as well as for active researchers.

Contents:

1. Introduction

2. Undirected graphical models

3. Directed graphical models

4. Marginal models: definition

5. Marginal log-linear models: applications

6. Path models

7. Relational models: definition and interpretation

8. Relational models as exponential families

9. Relational models: estimation and testing

10. Model testing

11. The mixture index of fit.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9783031558559

3031558553

OCLC:

1481791205