Showing posts with label statistical methods. Show all posts
Showing posts with label statistical methods. Show all posts

Longitudinal Data Analysis (Chapman & Hall/CRC Handbooks of Modern Statistical Methods) Review

Longitudinal Data Analysis (Chapman and Hall/CRC Handbooks of Modern Statistical Methods)
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First of all, this isn't really a textbook. It's more of an encyclopedia-textbook hybrid. You won't find proofs of theorems or (many) fully worked examples, however you'll get thorough descriptions of methods, their current status and their full history. Each section is written by one to four of the 32 contributors of the text, with each contributor writing on his/her expertise. Contributors include: Fitzmaurice, Verbeke, Molenberghs, Brumback, Carroll, Diggle, Little, Muller, Robins, among others.
If a section is not thorough enough for your liking, the authors refer you to a plethora of relevant papers for just about everything that is stated in the text. This makes it incredibly easy to investigate further into a given topic. Furthermore, the references are fairly current, with some sections including references up to the year 2007.
As I eluded to before, not only does each chapter cover different methodologies for analyzing longitudinal data, but also includes a history of research regarding a method -- what we used before those methods were introduced, why they were lacking, how the current methods address some of those problems, and what directions exist for further research. This gives the reader a picture of how the field has evolved and adapted to problems that longitudinal data analyses presents researchers. Some may find this uninteresting, but to see the historical research process for some of these methods, in my opinion, illustrates how the field has reached the point it is today and more generally, how research progresses in the real world.
The non-parametric/semi-parametric regression methods and missing data sections are especially appealing for I am unaware of any other source which compiles all current research in these areas in one volume.
As I say in the title of my review, this is akin to a 'travel-guide.' For example you won't find a derivation of GEE in this text, but you'll find what they are, why they were introduced, what they replaced, why we bother using them, what properties they have, what extensions researchers have come up with, and what we still don't know...and most importantly, you'll be directed to where you can find the derivations of all of these. Thus it won't be your final stop in researching any methodology for longitudinal data, but it most likely turn into your first.
This text is a great picture of what can be done with this series of texts (Handbooks of Modern Statistical Methods). I look forward to future installments.

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Although many books currently available describe statistical models and methods for analyzing longitudinal data, they do not highlight connections between various research threads in the statistical literature. Responding to this void, Longitudinal Data Analysis provides a clear, comprehensive, and unified overview of state-of-the-art theory and applications. It also focuses on the assorted challenges that arise in analyzing longitudinal data.
After discussing historical aspects, leading researchers explore four broad themes: parametric modeling, nonparametric and semiparametric methods, joint models, and incomplete data. Each of these sections begins with an introductory chapter that provides useful background material and a broad outline to set the stage for subsequent chapters. Rather than focus on a narrowly defined topic, chapters integrate important research discussions from the statistical literature. They seamlessly blend theory with applications and include examples and case studies from various disciplines.
Destined to become a landmark publication in the field, this carefully edited collection emphasizes statistical models and methods likely to endure in the future. Whether involved in the development of statistical methodology or the analysis of longitudinal data, readers will gain new perspectives on the field.

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Hierarchical Linear Models: Applications and Data Analysis Methods (Advanced Quantitative Techniques in the Social Sciences) Review

Hierarchical Linear Models: Applications and Data Analysis Methods (Advanced Quantitative Techniques in the Social Sciences)
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This book gives a detailed description of the use of an advanced method to deal with nested data sets.
At a general level the constructs and ideas are well written and can be followed reasonably easily.
However the mathematics is often written very dense, which makes reading and understanding complex.
My main problem with the book, is that in many of the examples they provide, the given formula's, and data skip rapidly to the solution. Thus it is often not insightfull at all, how the data led to the numerical outcome (and I and several of my colleagues could not reproduce all of the example outcomes). A more extensive discussion and a more step-by-step construction of the examples would have been helpful there.
So in short: Conceptually this book is fine, but for practical use mathematics are too dense, and examples are too hard to follow

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Popular in the First Edition for its rich, illustrative examples and lucid explanations of the theory and use of hierarchical linear models (HLM), the book has been reorganized into four parts with four completely new chapters. The first two parts, Part I on "The Logic of Hierarchical Linear Modeling" and Part II on "Basic Applications" closely parallel the first nine chapters of the previous edition with significant expansions and technical clarifications, such as:

* An intuitive introductory summary of the basic procedures for estimation and inference used with HLM models that only requires a minimal level of mathematical sophistication in Chapter 3* New section on multivariate growth models in Chapter 6 * A discussion of research synthesis or meta-analysis applications in Chapter 7* Data analytic advice on centering of level-1 predictors and new material on plausible value intervals and robust standard estimators


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Fundamentals of Atmospheric Modeling Review

Fundamentals of Atmospheric Modeling
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This is Mr. Jacobson's latest update to his unique text on the mathematical modeling of the atmosphere. I think it would be impossible to fully utilize this book if you have not already mastered college level physics, organic chemistry, calculus, both ordinary and partial differential equations, and numerical analysis and have some knowledge of atmospheric science. There are plenty of computer projects spread throughout this book too, so I guess a further requirement would be familiarity with a programming language, preferably MATLAB. This book basically merges all of these fields together in order to develop numerical models of atmospheric behavior. In fact, it looks like it would be a tough read for anyone who is not a graduate student of both atmospheric science and mathematics. By cross-referencing this book's material with old textbooks I was able to get through chapter 5 OK, but I hit a wall when I got to the material on numerical solutions to partial differential equations in chapter six. My advice for scientists and engineers that need to know more about the atmosphere, meteorology, and the accompanying mathematics so that they can do some modeling but don't have the Ph.D. pedigree necessary to get the most out of this book might want to invest in two other particular volumes:
1. "Meteorology Today : An Introduction to Weather, Climate, and the Environment" by Ahrens. It is well-written and easy to read. Plus, it splits the difference between science-fair style books written for high schoolers and terse texts that read like a Ph.D. thesis. Buy it used without the CD or Infotrak and save yourself some money though!
2. "Meteorology for Scientists and Engineers : A Technical Companion Book to C. Donald Ahrens' Meteorology Today" by Stull. It provides the mathematical equations needed for a higher level of understanding of meteorology. The organization is mapped directly to the Ahrens book, and it contains detailed math and physics that expand upon concepts presented in Ahrens' text, as well as numerous solved problems.
Amazon does not have the table of contents for the latest edition of Jacobson's book, so I show that here:
1 Introduction
2 Atmospheric structure, composition, and thermodynamics
3 The continuity and thermodynamic energy equations
4 The momentum equation in Cartesian & spherical coordinates
5 Vertical-coordinate conversions
6 Numerical solutions to partial differential equations
7 Finite-differencing the equations of atmospheric dynamics
8 Boundary-layer and surface processes
9 Radiative energy transfer
10 Gas-phase species, chemical reactions, and reaction rates
11 Urban, free-tropospheric, and stratospheric chemistry
12 Methods of solving chemical ODE's
13 Particle components, size distributions, and size structures
14 Aerosol emission and nucleation
15 Coagulation
16 Condensation, evaporation, deposition, and sublimation
17 Chemical equilibrium and dissolution processes
18 Cloud thermodynamics and dynamics
19 Irreversible aqueous chemistry
20 Sedimentation, dry deposition, and air-sea exchange
21 Model design, application, and testing


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Nonparametric Regression Methods for Longitudinal Data Analysis: Mixed-Effects Modeling Approaches (Wiley Series in Probability and Statistics) Review

Nonparametric Regression Methods for Longitudinal Data Analysis: Mixed-Effects Modeling Approaches (Wiley Series in Probability and Statistics)
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Very good introductory text for nonparametric regression. This book first gives motivation for the processes, outlines the methods of smoothing, and then covers various regression techniques. Not particularly mathematical, although some linear algebra knowledge is necessary. Very accessible as a first course. Does not go very in-depth into the theory of any of the methods, however.

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Incorporates mixed-effects modeling techniques for more powerful and efficient methodsThis book presents current and effective nonparametric regression techniques for longitudinal data analysis and systematically investigates the incorporation of mixed-effects modeling techniques into various nonparametric regression models. The authors emphasize modeling ideas and inference methodologies, although some theoretical results for the justification of the proposed methods are presented.With its logical structure and organization, beginning with basic principles, the text develops the foundation needed to master advanced principles and applications. Following a brief overview, data examples from biomedical research studies are presented and point to the need for nonparametric regression analysis approaches. Next, the authors review mixed-effects models and nonparametric regression models, which are the two key building blocks of the proposed modeling techniques.The core section of the book consists of four chapters dedicated to the major nonparametric regression methods: local polynomial, regression spline, smoothing spline, and penalized spline. The next two chapters extend these modeling techniques to semiparametric and time varying coefficient models for longitudinal data analysis. The final chapter examines discrete longitudinal data modeling and analysis.Each chapter concludes with a summary that highlights key points and also provides bibliographic notes that point to additional sources for further study. Examples of data analysis from biomedical research are used to illustrate the methodologies contained throughout the book. Technical proofs are presented in separate appendices.With its focus on solving problems, this is an excellent textbook for upper-level undergraduate and graduate courses in longitudinal data analysis. It is also recommended as a reference for biostatisticians and other theoretical and applied research statisticians with an interest in longitudinal data analysis. Not only do readers gain an understanding of the principles of various nonparametric regression methods, but they also gain a practical understanding of how to use the methods to tackle real-world problems.

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Modeling and Simulation in Scilab/Scicos with ScicosLab 4.4 Review

Modeling and Simulation in Scilab/Scicos with ScicosLab 4.4
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The book "Modeling and Simulation with Scilab/Scicos"
is well written and understandable to
readers with the basic signal processing and programming
background.
The reader can refresh/improve the knowledge of
some basic control theory material, while at the
same time learns how to apply Scilab/Scicos at simulation and
modeling problems.
I worked with Matlab for many years before and I found
Scilab/Scicos a very powerful alternative to Matlab/Simulink
and is free!
I recommend strongly this book to any scientist/engineer that
plans to explore the benefits of the excellent open
source Scilab/Scicos environment.

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Scilab and its Scicos block diagram graphical editor, with a special emphasis on modeling and simulation tools. The first part is a detailed Scilab tutorial, and the second is dedicated to modeling and simulation of dynamical systems in Scicos. The concepts are illustrated through numerous examples, and all code used in the book is available to the reader.

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Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence Review

Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
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This book is, bar none, the best book on longitudinal analysis in social sciences.
The book has three outstanding features that make it the must-have for researchers who conduct longitudinal studies. First, the book has numerous examples that use data from real studies, collected by prominent scholars in this area. With the help of the accompanying website at UCLA, you will learn how to set up data files, which is crucial in longitudinal analysis. The sample codes and data files in SAS, SPSS, Stata, MLwiN, Mplus, HLM, and Splus will allow you to replicate the analyses. The authors use every effort to explain the results in plain, understandable language. They use a lot of graphs and tables to compare different nested models and help you to choose the one that best describes your data. It feels like you have an excellent tutor by your side when you are reading this book.
Second, the coverage of this book is comprehensive. Part I covers the regular growth curve modeling and multilevel modeling, with a few chapters dealing with time-varying covariates, discontinuous and nonlinear change. Part II covers discrete-time and continuous-time survival analysis. If you are conducting a longitudinal study, chances are you will find a technique in this book that suits you just right.
Third, the book is quite deep. Although it gears toward applications of different longitudinal analyses, it is no cakewalk. You need at least some background in multiple regression and multivariate statistics. I think the treatment of mathematics (both concepts and formulas) is just right. In some sections you may need to revisit them often in order to fully understand the subject.


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Change is constant in everyday life.Infants crawl and then walk, children learn to read and write, teenagers mature in myriad ways, the elderly become frail and forgetful.Beyond these natural processes and events, external forces and interventions instigate and disrupt change:test scores may rise after a coaching course, drug abusers may remain abstinent after residential treatment. By charting changes over time and investigating whether and when events occur, researchers reveal the temporal rhythms of our lives. Applied Longitudinal Data Analysis is a much-needed professional book for empirical researchers and graduate students in the behavioral, social, and biomedical sciences.It offers the first accessible in-depth presentation of two of today's most popular statistical methods: multilevel models for individual change and hazard/survival models for event occurrence (in both discrete- and continuous-time). Using clear, concise prose and real data sets from published studies, the authors take you step by step through complete analyses, from simple exploratory displays that reveal underlying patterns through sophisticated specifications of complex statistical models. Applied Longitudinal Data Analysis offers readers a private consultation session with internationally recognized experts and represents a unique contribution to the literature on quantitative empirical methods. Visit http://www.ats.ucla.edu/stat/examples/alda.htm for: Downloadable data sets Library of computer programs in SAS, SPSS, Stata, HLM, MLwiN, and more Additional material for data analysis

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