Author | Andersen, Erling B. author |
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Title | The Statistical Analysis of Categorical Data [electronic resource] / by Erling B. Andersen |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1990 |
Connect to | http://dx.doi.org/10.1007/978-3-642-97225-6 |
Descript | IX, 523 p. online resource |
1. Categorical Data -- 2. Preliminaries -- 2.1 Statistical models -- 2.2 Estimation -- 2.3 Testing statistical hypotheses -- 2.4 Checking the model -- 3. Statistical Inference -- 3.1 Log-linear models -- 3.2 The one-dimensional case -- 3.3 The multi-dimensional case -- 3.4 Testing composite hypotheses -- 3.5 The parametric multinomial distribution -- 3.6 Generalized linear models -- 3.7 Solution of likelihood equations -- 3.8 Exercises -- 4. Two-way Contingency Tables -- 4.1 Three models -- 4.2 The 2x2 table -- 4.3 The log-linear parameterization -- 4.4 The hypothesis of no interaction -- 4.5 Residual analysis -- 4.6 Exercises -- 5. Three-way Contingency Tables -- 5.1 The log-linear parameterization -- 5.2 Hypotheses in a three-way table -- 5.3 Hypothesis testing -- 5.4 Decomposition of the test statistic -- 5.5 Detection of model departures -- 5.6 Exercises -- 6. Multi-dimensional Contingency Tables -- 6.1 The log-linear model -- 6.2 Interpretation of log-linear models -- 6.3 Search for a model -- 6.4 Diagnostics for model departures -- 6.5 Exercises -- 7. Incomplete Tables, Separability and Collapsibility -- 7.1 Incomplete tables -- 7.2 Two-way tables and quasi-independence -- 7.3 Higher order tables. Separability -- 7.4 Colapsibility -- 7.5 Exercises -- 8. The Logit Model -- 8.1 The logit model with binary explanatory variables -- 8.2 The logit model with polytomous explanatory variables -- Exercises -- 9. Logistic Regression Analysis -- 9.1 The logistic regression model -- 9.2 Regression diagnostics -- 9.3 Predictions -- 9.4 Polytomous response variables -- 9.5 Exercises -- 10 Models for the Interactions -- 10.1 Introduction -- 10.2 Symmetry models -- 10.3 Marginal homogeneity -- 10.4 Models for mobility tables -- 10.5 Association models -- 10.6 RC-association models -- 10.7 Log-linear association models -- 10.8 Exercises -- 11. Correspondance Analysis -- 11.1 Correspondance analysis for two-way tables -- 11.2 Correspondance analysis for multiway tables -- 11.3 Comparison of models -- 11.4 Exercises -- 12. Latent Structure Analysis -- 12.1 Latent structure models -- 12.2 Latent class models -- 12.3 Continuous latent structure models -- 12.4 The EM-algorithm -- 12.5 Estimation in the latent class model -- 12.6 Estimation in the continuous latent structure model -- 12.7 Testing the goodness of fit -- 12.8 Diagnostics -- 12.9 Score models with varying discriminating powers -- 12.10 Comparison of latent structure models -- 12.11 Estimation of the latent variable -- 12.12 Exercises -- References -- Author Index -- Examples with Data