An introduction to generalized linear models
著者
書誌事項
An introduction to generalized linear models
Chapman and Hall, c1990
- : pbk
- タイトル別名
-
An introduction to statistical modelling
大学図書館所蔵 全36件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Rev. ed. of: An introduction to statistical modelling, 1983
Bibliography: p. [165]-167
Includes index
内容説明・目次
- 巻冊次
-
ISBN 9780412311000
内容説明
This updated edition provides a unifying framework for many commonly used multivariate statistical methods including multiple regression and analysis of variance or covariance for continuous response data as well as logistic regression for binary responses and log-linear models for counted responses. The theory for these models is developed using the exponential, family of distributions, maximum likelihood estimation and likelihood ration tests. This is followed by information on each of the main types of generalized linear models. The statistical computing program GLIM which was developed to fit these models to data is used extensively and other programs, especially MINITAB, are used to illustrate particular issues. The reader is assumed to have a working knowledge of basic statistical concepts and methods (at the level of most introductory statistics courses) and some acquaintance with calculus and matrix algebra. The main changes from the first edition are that many sections have been extensively rewritten to provide more detailed explanations, GLIM and other programs are explicitly used, and many more numerical examples and exercises have been added.
Outline of solutions for selected exercises are given. The methods described in this book are widely applicable for analysing data from the fields of medicine, agriculture, biology, engineering, industrial experimentation, and the social sciences.
目次
- Part 1 Background
- scope
- notation
- distributions derived from normal distribution. Part 2 Model fitting: plant growth sample
- birthweight sample
- notation for linear models
- exercises. Part 3 Exponential family of distributions and generalized linear models: exponential family of distributions
- generalized linear models. Part 4 Estimation: method of maximum likelihood
- method of least squares
- estimation for generalized linear models
- example of simple linear regression for Poisson responses
- MINITAB program for simple linear regression with Poisson responses
- GLIM. Part 5 Inference: sampling introduction for scores
- sampling distribution for maximum likelihood estimators
- confidence intervals for the model parameters
- adequacy of a model
- sampling distribution for the log-likelihood statistic
- log-likelihood ratio statistic (deviance)
- assessing goodness of fit
- hypothesis testing
- residuals. Part 6 Multiple regression: maximum likelihood estimation
- least squares estimation
- log-likelihood ratio statistic
- multiple correlation coefficient and R
- numerical example
- residual plots
- orthogonality
- collinearity
- model selection
- non-linear regression. Part 7 Analysis of variance and covariance: basic results
- one-factor ANOVA
- two-factor ANOVA with replication
- crossed and nested factors
- more complicated models
- choice of constraint equations and dummy variables
- analysis of covariance. Part 8 Binary variables and logistic regression: probability distributions
- generalized linear models
- dose response models
- general logistic regression
- maximum likelihood estimation and the log-likelihood ratio statistic
- other criteria for goodness of fit
- least squares methods
- remarks. Part 9 Contingency tables and log-linear models: probability distributions
- log-linear models
- maximum likelihood estimation
- hypothesis testing and goodness of fit
- numerical examples
- remarks. Appendices: conventional parametrizations with sum-to-zero constraints
- corner-point parametrizations
- three response variables
- two response variables and one explanatory variable
- one response variable and two explanatory variables.
- 巻冊次
-
: pbk ISBN 9780412311109
内容説明
An undergraduate-level introduction to the topic of generalized linear models
An Introduction to Generalized Linear Models-a new edition of An Introduction to Statistical Modelling-demonstrates how generalized linear models provide a unifying framework for many commonly used multivariate statistical methods, including multiple regression and analysis of variance or covariance for continuous response data, logistic regression for binary responses, and log-linear models for counted responses. The theory for these models is developed using the exponential family of distributions, maximum likelihood estimation, and likelihood ration tests. Chapters on each of the main types of generalized linear models are included. The statistical computing program GLIM , developed to fit these models to data, is used extensively. Other programs, particularly MINITAB, are used to illustrate particular issues. The student is assumed to have a working knowledge of basic statistical concepts and methods, at the level of most introductory statistics courses, and some acquaintance with calculus and matrix algebra. Methods described in this text are widely applicable for analyzing data from the fields of medicine, agriculture, biology, engineering, industrial experimentation, and the social sciences.
目次
Preface. Introduction. Model Fitting. Exponential Family of Distributions and Generalized Linear Models. Estimation. Inference. Multiple Regression. Analysis of Variance and Covariance. Binary Variables and Logistic Regression. Contingency Tables and Log-Linear Models. Appendix A. Appendices. Outline of Solutions for Selected Exercises. References. Index.
「Nielsen BookData」 より