1.

Record Nr.

UNINA9910917791903321

Autore

Rudas Tamás

Titolo

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

Pubbl/distr/stampa

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

ISBN

9783031558559

3031558553

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (385 pages)

Collana

Springer Texts in Statistics, , 2197-4136

Disciplina

001.422

Soggetti

Statistics

Social sciences - Statistical methods

Biometry

Statistical Theory and Methods

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

Biostatistics

Biometria

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.