## ＜電子ブック＞The Statistical Analysis of Categorical Data

責任表示 by Erling B. Andersen Andersen, Erling B SpringerLink (Online service) Third Edition. English (英語) Springer Berlin Heidelberg 1994- Berlin, Heidelberg, Germany 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 in chapter 3 of basic properties of exponential families and the parametric multinomial distribution is made as mathematical precise as possible without going into mathematical details and leaving out most proofs.続きを見る 1. Categorical Data2. Preliminaries2.1 Statistical models2.2 Estimation2.3 Testing statistical hypotheses2.4 Checking the model3. Statistical Inference3.1 Log-linear models3.2 The one-dimensional case3.3 The multi-dimensional case3.4 Testing composite hypotheses3.5 The parametric multinomial distribution3.6 Generalized linear models3.7 Solution of likelihood equations3.8 Exercises4. Two-way Contingency Tables4.1 Three models4.2 The 2x2 table4.3 The log-linear parameterization4.4 The hypothesis of no interaction4.5 Residual analysis4.6 Exercises5. Three-way Contingency Tables5.1 The log-linear parameterization5.2 Hypothesis in a three-way table5.3 Hypothesis testing5.4 Decomposition of the test statistic5.5 Detection of model departures5.6 Exercises6. Multi-dimension Contingency Tables6.1 The log-linear model6.2 Interpretation of log-linear models6.3 Search for a model6.4 Diagnostics for model departures6.5 Exercises7. Incomplete Tables, Separability and Collapsibility7.1 Incomplete tables7.2 Two-way tables and quasi-independence7.3 Higher order tables. Separability7.4 Collapsibility7.5 Exercises8. The Logit Model8.1 The logit-model with binary explanatory variables8.2 The logit model with polytomous explanatory variables8.3 Exercises9. Logistic Regression Analysis9.1 The logistic regression model9.2 Regression diagnostics9.3 Predictions9.4 Polytomous response variables9.5 Exercises10. Models for the Interactions10.1 Introduction10.2 Symmetry models10.3 Marginal homogeneity10.4 Models for mobility tables10.5 Association models10.6 RC-association models10.7 Log-linear association models10.8 Exercises11. Correspondence Analysis11.1 Correspondence analysis for two-way tables11.2 Correspondence analysis for multi-way tables11.3 Comparison of models11.4 Exercises12. Latent Structure Analysis12.1 Latent structure models12.2 Latent class models12.3 Continuous latent structure models12.4 The EM-algorithm12.5 Estimation in the latent class model12.6 Estimation in the continuous latent structure model12.7 Testing the goodness of fit12.8 Diagnostics12.9 Score models with varying discriminating powers12.10 Comparison of latent structure models12.11 Estimation of the latent variable12.12 Exercises13. Computer ProgramsReferencesAuthor IndexExamples with Data.続きを見る Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive)

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レコードID 3643919 QA276-280 330.015195 Statistics. Economics Economics. Statistics. Statistics for Business/Economics/Mathematical Finance/Insurance. Economic Theory. ssj0001298538 9783642788192[364278819X](print) 9783642788178 2020.06.27 2020.06.28