Linear mixedeffects models using R : a stepbystep approach / Andrzej Gałecki and Tomasz Burzykowski.
By: Gałecki, Andrzej.
Contributor(s): Burzykowski, Tomasz.
Material type: TextSeries: Springer texts in statistics.Publisher: New York : Springer, c2013Description: xxxii, 542 p. : ill. ; 24 cm.ISBN: 9781461438991 (alk. paper).Subject(s): Linear models (Statistics)  R (Computer program language)DDC classification: 000SA.062Item type  Current location  Call number  Status  Date due  Barcode  Item holds  

Books 
ISI Library, Kolkata

000SA.062 G151 (Browse shelf)  Available  C26285 
Includes bibliographical references and indexes.
Part I Introduction 
1. Introduction 
2. Case Studies 
3. Data Exploration 
Part II Linear Models for Independent Observations
4. Linear Models with Homogeneous Variance 
5. Fitting Linear Models with Homogeneous Variance: The lm() and gls() Functions 
6. ARMD Trial: Linear Model with Homogeneous Variance 
7. Linear Models with Heterogeneous Variance 
8. Fitting Linear Models with Heterogeneous Variance: The gls() Function 
9. ARMD Trial: Linear Model with Heterogeneous Variance 
Part III Linear Fixedeffects Models for Correlated Data 
10. Linear Model with Fixed Effects and Correlated Errors 
11. Fitting Linear Models with Fixed Effects and Correlated Errors: The gls() Function 
12. ARMD Trial: Modeling Correlated Errors for Visual Acuity 
Part VI Linear Mixedeffects Models 
13. Linear MixedEffects Model 
14. Fitting Linear MixedEffects Models: The lme()Function  15. Fitting Linear MixedEffects Models: The lmer() Function  16. ARMD Trial: Modeling Visual Acuity 
17. PRT Trial: Modeling Muscle Fiber SpecificForce 
18. SII Project: Modeling Gains in Mathematics AchievementScores 
19. FCAT Study: Modeling AttainmentTarget Scores 
20. Extensions of the RTools for Linear MixedEffects Models
Acronyms
References
Function Index
Subject Index.
Preface Methods of Statistical Model Estimation has been written to develop a particular pragmatic viewpoint of statistical modelling. Our goal has been to try to demonstrate the unity that underpins statistical parameter estimation for a wide range of models. We have sought to represent the techniques and tenets of statistical modelling using executable computer code. Our choice does not preclude the use of explanatory text, equations, or occasional pseudocode. However, we have written computer code that is motivated by pedagogic considerations first and foremost. An example is in the development of a single function to compute deviance residuals in Chapter 4. We defer the details to Section 4.7, but mention here that deviance residuals are an important model diagnostic tool for GLMs. Each distribution in the exponential family has its own deviance residual, defined by the likelihood. Many statistical books will present tables of equations for computing each of these residuals. Rather than develop a unique function for each distribution, we prefer to present a single function that calls the likelihood appropriately itself. This single function replaces five or six, and in so doing, demonstrates the unity that underpins GLM. Of course, the code is less efficient and less stable than a direct representation of the equations would be, but our goal is clarity rather than speed or stability. This book also provides guidelines to enable statisticians and researchers from across disciplines to more easily program their own statistical models using R. R, more than any other statistical application, is driven by the contributions of researchers who have developed scripts, functions, and complete packages for the use of others in the general research community
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