The Statistical Analysis of Categorical Data

1. Front Matter

   Pages I-XI

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2. Categorical Data

   • Erling B. Andersen

   Pages 1-8

3. Preliminaries

   • Erling B. Andersen

   Pages 9-24

4. Statistical Inference

   • Erling B. Andersen

   Pages 25-88

5. Two-way Contingency Tables

   • Erling B. Andersen

   Pages 89-130

6. Three-way Contingency Tables

   • Erling B. Andersen

   Pages 131-178

7. Multi-dimensional Contingency Tables

   • Erling B. Andersen

   Pages 179-211

8. Incomplete Tables, Separability and Collapsibility

   • Erling B. Andersen

   Pages 212-238

9. The Logit Model

   • Erling B. Andersen

   Pages 239-268

10. Logistic Regression Analysis

    • Erling B. Andersen

    Pages 269-319

11. Models for the Interactions

    • Erling B. Andersen

    Pages 320-361

12. Correspondence Analysis

    • Erling B. Andersen

    Pages 362-405

13. Latent Structure Analysis

    • Erling B. Andersen

    Pages 406-494

14. Computer programs

    • Erling B. Andersen

    Pages 495-503

15. Back Matter

    Pages 504-532

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The aim of this book is to give an up to date account of the most commonly uses statisti­ cal models for categorical data. The emphasis is on the connection between theory and applications to real data sets. The book only covers models for categorical data. Various models for mixed continuous and categorical data are thus excluded. The book is written as a textbook, although many methods and results are quite recent. This should imply, that the book can be used for a graduate course in categorical data analysis. With this aim in mind chapters 3 to 12 are concluded with a set of exer­ cises. In many cases, the data sets are those data sets, which were not included in the examples of the book, although they at one point in time were regarded as potential can­ didates for an example. A certain amount of general knowledge of statistical theory is necessary to fully benefit from the book. A summary of the basic statistical concepts deemed necessary pre­ requisites is given in chapter 2. The mathematical level is only moderately high, but the account iu chapter 3 of basic properties of exponential families aud the parametric llluitillOl1lia.l distribuLioll is made as mathematical precise as possible without going into mathematical details and leaving out most proofs.

• Angewandte Statistik
• Korrespondenzanalyse
• Logistische Regression
• Psychologie
• Psychology
• applied statistics
• calculus
• economics
• modeling
• regression
• regression analysis
• statistical analysis
• statistical inference
• statistical models
• statistics

• Department of Statistics, University of Copenhagen, Copenhagen K, Denmark

  Erling B. Andersen

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