Chapter 7. Logit Models for Multinomial Responses

  1. Alan Agresti

Published Online: 26 MAR 2003

DOI: 10.1002/0471249688.ch7

Categorical Data Analysis, Second Edition

Categorical Data Analysis, Second Edition

How to Cite

Agresti, A. (2003) Logit Models for Multinomial Responses, in Categorical Data Analysis, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471249688.ch7

Author Information

  1. University of Florida, Gainesville, Florida, USA

Publication History

  1. Published Online: 26 MAR 2003
  2. Published Print: 3 JUL 2002

ISBN Information

Print ISBN: 9780471360933

Online ISBN: 9780471249689

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Keywords:

  • nominal data;
  • ordinal data;
  • baseline-category logit model;
  • discrete choice models;
  • cumulative logit model;
  • proportional odds model;
  • continuation-ratio logits;
  • adjacent-category logits;
  • Mantel–Haenszel methods

Summary

Chapter 7 extends logistic regression for binary data to models for multicategory response variables. For nominal responses, it introduces baseline-category logit models. For ordinal responses, it introduces cumulative logit models. It also discusses other models for ordinal responses, such as cumulative link models, adjacent-category logit models, continuation-ratio logit models, and mean response models. Finally, it introduces generalizations of Mantel–Haenszel methods for multicategory responses and introduces discrete choice models.