Models for Discrete Data.
Title:
Models for Discrete Data.
Author:
Zelterman, Daniel.
ISBN:
9780191523434
Personal Author:
Edition:
2nd ed.
Physical Description:
1 online resource (296 pages)
Contents:
Contents -- 1 Introduction -- 1.1 Issues -- 1.2 Some examples -- 2 Sampling distributions -- 2.1 Binomial and multinomial distributions -- 2.1.1 Binominal distribution -- 2.1.2 Multinomial distribution -- 2.2 The Poisson distribution -- 2.3 Poisson regression -- 2.4 The hypergeometric distribution -- 2.4.1 The extended hypergeometric distribution -- 2.4.2 Exact inference in a 2 × 2 table -- 2.4.3 Exact power and sample size estimation -- 2.4.4 The multivariate hypergeometric distribution -- 2.4.5 Distributions in higher dimensions -- 2.5 The negative binomial distribution -- 2.6 The negative multinomial distribution -- Applied exercises -- Theory exercises -- 3 Logistic regression -- 3.1 Three simple examples -- 3.2 Two complex examples -- 3.2.1 Nodal involvement -- 3.2.2 Job satisfaction -- 3.3 Diagnostics for logistic regression -- Applied exercises -- Theory exercises -- 4 Log-linear models -- 4.1 Models in two dimensions -- 4.1.1 Independence in a 2 × 2 table -- 4.1.2 Interaction in a 2 × 2 table -- 4.1.3 Log-linear models for I × J tables -- 4.1.4 Mosaic plots for I × J tables -- 4.2 Models in three dimensions -- 4.3 Models in higher dimensions -- 4.4 Goodness-of-fit tests -- 4.4.1 When the model fits -- 4.4.2 Sample size estimation -- 4.5 Maximum likelihood estimates -- 4.5.1 The Birch criteria -- 4.5.2 Model fitting algorithms -- 4.5.3 Explicit maximum likelihood estimates -- Applied exercises -- Theory exercises -- 5 Coordinate-free models -- 5.1 Motivating examples -- 5.2 Some linear algebra -- 5.3 The likelihood function -- 5.4 Maximum likelihood estimation -- 5.5 Examples -- Applied exercises -- Theory exercises -- 6 Additional topics -- 6.1 Longitudinal data -- 6.1.1 Marginal models -- 6.1.2 Transitional models -- 6.1.3 Missing values -- 6.2 Case-control studies -- 6.2.1 Stratified analyses -- 6.2.2 Pair-matched case-control designs.
6.3 Advanced goodness of fit -- 6.3.1 Cressie and Read statistics -- 6.3.2 Sparse data problems -- 6.3.3 High-dimensional data -- Applied exercises -- Theory exercises -- Appendix A: Power for chi-squared tests -- Appendix B: A FORTRAN program for exact tests in tables -- Appendix C: Splus programs for the extended hypergeometric distribution -- References -- Selected solutions and hints -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y -- Z.
Abstract:
This revised edition illustrates the statistical analysis of data using computer programs in SAS, a widely used software package in the health sciences. Many numerical examples are provided to illustrate the methods and these are discussed along with the corresponding computer output. Several new datasets are included, mostly from the health and medical sector. - ;Discrete or count data arise in experiments where the outcome variables are the numbers of individuals classified into unique, non-overlapping categories. This revised edition describes the statistical models used in the analysis and summary of such data, and provides a sound introduction to the subject for graduate students and practitioners needing a review of the methodology. With many numerical examples throughout, it includes topics not covered in depth elsewhere, such as the. negative multinomial distribution; the many forms of the hypergeometric distribution; and coordinate free models. A detailed treatment of sample size estimation and power are given in terms of both exact inference and asymptotic, non-central chi-squared methods. A new section covering Poisson. regression has also been included. An important feature of this book, missing elsewhere, is the integration of the software into the text. Many more exercises are provided (including 84% more applied exercises) than in the previous edition, helping consolidate the reader's understanding of all subjects covered, and making the book highly suitable for use in a classroom setting. Several new datasets, mostly from the health and medical sector, are discussed, including previously unpublished data from a study of Tourette's Syndrome in children. -.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
Click to View