Statistical Modelling in GLIM
Murray Aitkin(Author)
Clarendon Press
Published in January 1989
Book
Hardback
392 pages
978-0-19-852204-1 (ISBN)
Description
An introduction to both the theory of statistical models and the practical implementation of these techniques in the analysis of data using the package GLIM 3, the statistical package for Generalized Linear Interactive Modelling, developed by the Working Party on Statistical Computing of the Royal Statistical Society. The authors have aimed to integrate both the theoretical and practical aspects, thus all the statistical principles which are discussed are illustrated by worked examples using GLIM's interactive facilities. A full description of the use of GLIM 3 for model fitting is given with detailed discussions of many examples. This book was written from 1982-1987 as part of an Economic and Social Research Council research programme at the Centre for Applied Statistics in the analysis of complex social data, which supported Dorothy Anderson and John Hinde. There are several way this book can be used. It is written in sequence which is intended to be appropriate for intensive courses. Chapter 1 gives a gentle introduction to GLIM 3 for novices and chapter 2 a general introduction to the principles of statistical modelling, with two simple examples.
This chapter also develops the necessary theory of maximum likelihood estimation and likelihood ratio testing. Chapter 3 discusses the normal model, chapter 4 binomial data, chapter 5 multinomial and Poisson data and chapter 6 survival data. This work should be of value to statisticians working in a wide range of fields including biomedical research and the social sciences as well as providing a "hands on" guide for students in these areas using these techniques for the first time.
This chapter also develops the necessary theory of maximum likelihood estimation and likelihood ratio testing. Chapter 3 discusses the normal model, chapter 4 binomial data, chapter 5 multinomial and Poisson data and chapter 6 survival data. This work should be of value to statisticians working in a wide range of fields including biomedical research and the social sciences as well as providing a "hands on" guide for students in these areas using these techniques for the first time.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
Professional and scholarly
Illustrations
line drawings, references, index
Dimensions
Height: 230 mm
Width: 150 mm
Weight
492 gr
ISBN-13
978-0-19-852204-1 (9780198522041)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Content
Part 1 Introducing GLIM 3: getting started in GLIM 3. Part 2 Statistical modelling and statistical inference: the Bernoulli distribution for binary data; types of variables; definition of a statistical model; model criticism; likelihood-based confidence intervals. Part 3 Normal regression and analysis of variance: the normal distribution and the Box-Cox transformation family; link functions and transformations; regression models for prediction; the use of regression models for calibration; fatorial designs; midding data. Part 4 Binomial response data: binary responses; transformations and link functions; contingency table construction from binary data; multidimensional contingency tables with a binary response. Part 5: multinomial and Poisson response data. Part 6 Survival data: probability plotting with censored data - the Kaplan-Meier estimator; the Weibull distribution; the Cox proportional hazards model and the piecewise exponential distribution; the logistic and log logistic distributions; time-dependent explanatory variables. Appendices: discussion; GLIM directives; system defined structures in GLIM; datasets and macros.