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Author: Murray A. Aitkin
Publisher: Oxford University Press
ISBN: 9780198522034
Category : Mathematics
Languages : en
Pages : 390
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Book Description
The analysis of data by statistical modelling is becoming increasingly important. This book presents both the theory of statistical modelling with generalized linear models and the application of the theory to practical problems using the widely available package GLIM. The authors have takenpains to integrate the theory with many practical examples which illustrate the value of interactive statistical modelling. Throughout the book theoretical issues of formulating and simplifying models are discussed, as are problems of validating the models by the detection of outliers and influential observations. The book arises from short courses given at the University of Lancaster's Centre for Applied Statistics, with an emphasis on practical programming in GLIM and numerous examples. A wide range of case studies is provided, using the normal, binomial, Poisson, multinomial, gamma, exponential andWeibull distributions. A feature of the book is a detailed discussion of survival analysis. Statisticians working in a wide range of fields, including biomedical and social sciences, will find this book an invaluable desktop companion to aid their statistical modelling. It will also provide a text for students meeting the ideas of statistical modelling for the first time.
Author: Murray A. Aitkin
Publisher: Oxford University Press
ISBN: 9780198522034
Category : Mathematics
Languages : en
Pages : 390
Get Book Here
Book Description
The analysis of data by statistical modelling is becoming increasingly important. This book presents both the theory of statistical modelling with generalized linear models and the application of the theory to practical problems using the widely available package GLIM. The authors have takenpains to integrate the theory with many practical examples which illustrate the value of interactive statistical modelling. Throughout the book theoretical issues of formulating and simplifying models are discussed, as are problems of validating the models by the detection of outliers and influential observations. The book arises from short courses given at the University of Lancaster's Centre for Applied Statistics, with an emphasis on practical programming in GLIM and numerous examples. A wide range of case studies is provided, using the normal, binomial, Poisson, multinomial, gamma, exponential andWeibull distributions. A feature of the book is a detailed discussion of survival analysis. Statisticians working in a wide range of fields, including biomedical and social sciences, will find this book an invaluable desktop companion to aid their statistical modelling. It will also provide a text for students meeting the ideas of statistical modelling for the first time.
Author: Murray A. Aitkin
Publisher: Oxford University Press, USA
ISBN: 0198524137
Category : Computers
Languages : en
Pages : 30
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Book Description
"This text examines the theory of statistical modelling with generalised linear models. It also looks at applications of the theory to practical problems, using the GLIM4 package"--Provided by publisher.
Author: Brian Francis
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 848
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Book Description
In statistics, fitting linear models to data is a general theme. This manual describes how GLIM 4--the popular software package--may be used for statistical analysis, including data manipulation and display, model fitting, and prediction. The manual has been divided into three distinct guides. The User Guide introduces and illustrates all the facilities in GLIM 4. Each chapter describes the directives relevant to a particular type of activity involved in the statistical modelling of data. The Modelling Guide presents a broad array of examples which comprise an effective introduction for new users. The Reference Guide contains a formal description of the syntax and semantics of the GLIM 4 language, of the data structures it handles, and of the directives provided, constituting a reference manual for the experienced user. This book is sure to be useful to research statisticians wherever GLIM is used.
Author: Murray A. Aitkin
Publisher:
ISBN:
Category :
Languages : en
Pages : 374
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Book Description
Author: James K. Lindsey
Publisher: Springer Science & Business Media
ISBN: 038722730X
Category : Mathematics
Languages : en
Pages : 265
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Book Description
This book describes how generalised linear modelling procedures can be used in many different fields, without becoming entangled in problems of statistical inference. The author shows the unity of many of the commonly used models and provides readers with a taste of many different areas, such as survival models, time series, and spatial analysis, and of their unity. As such, this book will appeal to applied statisticians and to scientists having a basic grounding in modern statistics. With many exercises at the end of each chapter, it will equally constitute an excellent text for teaching applied statistics students and non- statistics majors. The reader is assumed to have knowledge of basic statistical principles, whether from a Bayesian, frequentist, or direct likelihood point of view, being familiar at least with the analysis of the simpler normal linear models, regression and ANOVA.
Author: Ludwig Fahrmeir
Publisher: Springer Science & Business Media
ISBN: 1475734549
Category : Mathematics
Languages : en
Pages : 537
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Book Description
The book is aimed at applied statisticians, graduate students of statistics, and students and researchers with a strong interest in statistics and data analysis. This second edition is extensively revised, especially those sections relating with Bayesian concepts.
Author: Murray Aitkin
Publisher: CRC Press
ISBN: 100064457X
Category : Mathematics
Languages : en
Pages : 391
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Book Description
The complexity of large-scale data sets (“Big Data”) has stimulated the development of advanced computational methods for analysing them. There are two different kinds of methods to aid this. The model-based method uses probability models and likelihood and Bayesian theory, while the model-free method does not require a probability model, likelihood or Bayesian theory. These two approaches are based on different philosophical principles of probability theory, espoused by the famous statisticians Ronald Fisher and Jerzy Neyman. Introduction to Statistical Modelling and Inference covers simple experimental and survey designs, and probability models up to and including generalised linear (regression) models and some extensions of these, including finite mixtures. A wide range of examples from different application fields are also discussed and analysed. No special software is used, beyond that needed for maximum likelihood analysis of generalised linear models. Students are expected to have a basic mathematical background in algebra, coordinate geometry and calculus. Features • Probability models are developed from the shape of the sample empirical cumulative distribution function (cdf) or a transformation of it. • Bounds for the value of the population cumulative distribution function are obtained from the Beta distribution at each point of the empirical cdf. • Bayes’s theorem is developed from the properties of the screening test for a rare condition. • The multinomial distribution provides an always-true model for any randomly sampled data. • The model-free bootstrap method for finding the precision of a sample estimate has a model-based parallel – the Bayesian bootstrap – based on the always-true multinomial distribution. • The Bayesian posterior distributions of model parameters can be obtained from the maximum likelihood analysis of the model. This book is aimed at students in a wide range of disciplines including Data Science. The book is based on the model-based theory, used widely by scientists in many fields, and compares it, in less detail, with the model-free theory, popular in computer science, machine learning and official survey analysis. The development of the model-based theory is accelerated by recent developments in Bayesian analysis.
Author:
Publisher:
ISBN:
Category : GLIM (Computer program)
Languages : en
Pages : 374
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Book Description
Author: G. Arminger
Publisher: Springer Science & Business Media
ISBN: 1489912924
Category : Psychology
Languages : en
Pages : 603
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Book Description
Contributors thoroughly survey the most important statistical models used in empirical reserch in the social and behavioral sciences. Following a common format, each chapter introduces a model, illustrates the types of problems and data for which the model is best used, provides numerous examples that draw upon familiar models or procedures, and includes material on software that can be used to estimate the models studied. This handbook will aid researchers, methodologists, graduate students, and statisticians to understand and resolve common modeling problems.
Author: Daniel Powers
Publisher: Emerald Group Publishing
ISBN: 1781906599
Category : Psychology
Languages : en
Pages : 330
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Book Description
This book provides a comprehensive introduction to methods and models for categorical data analysis and their applications in social science research. Companion website also available, at https://webspace.utexas.edu/dpowers/www/
