Hierarchical Linear Models: Applications and Data Analysis Methods (Advanced Quantitative Techniques in the Social Sciences)
Average customer rating: 3.5 out of 5 stars
  • pre-req: mid-level stats experience
  • Good but sometimes skipping ahead too fast
  • Useful, but need solid background in stats
Hierarchical Linear Models: Applications and Data Analysis Methods (Advanced Quantitative Techniques in the Social Sciences)
Stephen W. Raudenbush , and Anthony S. Bryk
Manufacturer: Sage Publications, Inc
ProductGroup: Book
Binding: Hardcover

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ASIN: 076191904X

Book Description

"This is a first-class book dealing with one of the most important areas of current research in applied statistics…the methods described are widely applicable…the standard of exposition is extremely high."
--Short Book Reviews from the International Statistical Institute

"The new chapters (10-14) improve an already excellent resource for research and instruction. Their content expands the coverage of the book to include models for discrete level-1 outcomes, non-nested level-2 units, incomplete data, and measurement error---all vital topics in contemporary social statistics. In the tradition of the first edition, they are clearly written and make good use of interesting substantive examples to illustrate the methods. Advanced graduate students and social researchers will find the expanded edition immediately useful and pertinent to their research."
--TED GERBER, Sociology, University of Arizona

"Chapter 11 was also exciting reading and shows the versatility of the mixed model with the EM algorithm. There was a new revelation on practically every page. I found the exposition to be extremely clear. It was like being led from one treasure room to another, and all of the gems are inherently useful. These are problems that researchers face everyday, and this chapter gives us an excellent alternative to how we have traditionally handled these problems."
--PAUL SWANK, Houston School of Nursing, University of Texas, Houston

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

While the first edition confined its attention to continuously distributed outcomes at level 1, this second edition now includes coverage of an array of outcomes types in Part III:

* New Chapter 10 considers applications of hierarchical models in the case of binary outcomes, counted data, ordered categories, and multinomial outcomes using detailed examples to illustrate each case
* New Chapter 11 on latent variable models, including estimating regressions from missing data, estimating regressions when predictors are measured with error, and embedding item response models within the framework of the HLM model
* New introduction to the logic of Bayesian inference with applications to hierarchical data (Chapter 13)

The authors conclude in Part IV with the statistical theory and computations used throughout the book, including univariate models with normal level-1 errors, multivariate linear models, and hierarchical generalized linear models.

Customer Reviews:

4 out of 5 stars pre-req: mid-level stats experience.......2006-07-12

I had taken a class in HLM before, and I bought this book to refresh myself on the details. It takes a good deal of attention to detail and concentration to really get the full measure from this book, although it's all in there. Despite the authors' best efforts, there is a good bit of stats jargon in the book, so a reader who is not familiar might have some difficulty. If you're at a point where learning HLM is a logical next step, you'll be fine and I recommend this book. However, if your over-eager faculty advisor told you to learn HLM, despite your minimal experience in stats, you're better off enrolling in a class or workshop.

3 out of 5 stars Good but sometimes skipping ahead too fast.......2006-03-09

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

4 out of 5 stars Useful, but need solid background in stats.......2004-06-05

This book describes important advances in statistical analysis of social science data, circa 1992. Much of this data has a natural hierarchical grouping. But traditional statistical methods proved inadequate at coping. The biggest drawback was the failure of the assumption of independence. If at the lowest level, Items I1,...,In are grouped into sets J1,...,Jm, where m To handle this, Hierarchical Linear Models were developed. The book gives a detailed treatment. A very comprehensive discussion. Including the handling of meta-analysis, where we wish to combine results across different studies. Which then involves using empirical Bayesian estimates. This method has also seen important usage in evaluating medical studies, conducted by different researchers on the same topic.

The book also illustrates the essential development of non-trivial computer programs to perform the gruntwork.

You will need a solid background in statistics to find this book useful. At a minimum, a year of statistics at the undergraduate level.
Kendall's Advanced Theory of Statistics:Volume 2A -Classical Inference and and the Linear Model (Kendall's Library of Statistics)
Average customer rating: 5 out of 5 stars
  • Beautifully Written
Kendall's Advanced Theory of Statistics:Volume 2A -Classical Inference and and the Linear Model (Kendall's Library of Statistics)
Maurice Kendall , Alan Stuart , J. Keith Ord , and Steven Arnold
Manufacturer: A Hodder Arnold Publication
ProductGroup: Book
Binding: Hardcover

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ASIN: 0340662301

Book Description

This new edition of the classic statistical book Classical Inference and Relationship completes the current three-volume set of Kendall's Advanced Theory of Statistics. It has been fully revised and expanded to over 800 pages, representing the state of the art in classical statistical inference.

Customer Reviews:

5 out of 5 stars Beautifully Written.......2000-02-02

I've been reading the general linear model section all day today, and it is just so nicely written I thought I needed to write a review. I can't imagine a clearer and more succinct description of this difficult topic. Entirely understandable, but be prepared to read chapters from beginning to end as unexpected abbreviations are often introduced and carried throughout the chapter.

As with all of the Kendall Advanced Theory books, a moderate degree of mathematical sophistication is assumed.
Advanced Log-Linear Models Using SAS
Average customer rating: 5 out of 5 stars
  • Another Zelterman classic!
Advanced Log-Linear Models Using SAS
Daniel Zelterman
Manufacturer: SAS Publishing
ProductGroup: Book
Binding: Paperback

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ASIN: 159047080X

Book Description

Daniel Zelterman applies his extensive SAS knowledge and biostatistics experience to illustrate how to use the GENMOD procedure to analyze log-linear models for categorical data. His wide variety of examples illustrate the statistical applications PROC GENMOD can perform. He thoroughly describes the models, provides real data examples, supplies the necessary code, and explains the output from GENMOD. The topics covered include: the Pearson goodness of fit statistic; tables of categorical data; a review of log-linear model methods for rectangular tables of categorical data; extrapolation methods to estimate population size; new models and distributions for statistical analysis of data; and issues in power analysis and estimating sample size in experiments. The models take advantage of the wide class of generalized linear models and use real data from pharmaceutical studies and epidemiology, wildlife, and government statistics. Statisticians who have a basic under! standing both of SAS and the analysis of categorical data will greatly benefit from this book. The discussion of each model and method emphasizes statistical aspects, such as interpretation of results, rather than programming skills. The numerous examples are used to motivate the theory and methods as they are discussed.

Customer Reviews:

5 out of 5 stars Another Zelterman classic!.......2003-03-30

Another Zelterman classic. It's amazing what he can do in SAS.
A First Course in the Theory of Linear Statistical Models (Duxbury Advanced Series in Statistics and Decision Sciences)
Average customer rating: Not rated
    A First Course in the Theory of Linear Statistical Models (Duxbury Advanced Series in Statistics and Decision Sciences)
    Raymond H. Myers , and Janet S. Milton
    Manufacturer: Wadsworth Publishing Company
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0534916457

    Book Description

    This is a teaching text for the advanced statistics undergraduate or the beginning graduate student of statistics. It is assumed that the user of the text has had at least a full year course in applied or mathematical statistics. The text is intended for a one semester introductory course in the theory of linear statistical models.
    Model Building in Mathematical Programming, 4th Edition
    Average customer rating: 5 out of 5 stars
    • Great OR book
    • Excellent
    • The Best Book of Its Kind
    • Good book for every one
    • It's so good!
    Model Building in Mathematical Programming, 4th Edition
    H. P. Williams
    Manufacturer: Wiley
    ProductGroup: Book
    Binding: Paperback

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    ASIN: 0471997889

    Book Description

    Review of previous editions

    'Such a text - and this is the only one of this type I know of - should be the basis of all instruction in Mathematical Programming.' Journal of the Royal Statistical Society

    'An excellent introduction ... for students of business administration and people who want to see the utility of operations research.' European Journal of Operational Research

    'It will be appreciated very much by practitioners who already have knowledge in the field of mathematical programming.' Mathematical Programming Society Newsletter Model Building in Mathematical Programming Fourth Edition H. Paul Williams Faculty of Mathematical Studies, University of Southampton, UK

    This extensively revised fourth edition of this well-known and much praised book contains a great deal of new material. In particular sections and new problems have been added covering Revenue Management. Hydro Electric Generation, Date Envelopment (efficiency) Analysis, Milk Distribution and Collection and Constraint Programming. The book discusses the general principles of model building in mathematical programming and shows how they can be applied by using simplified but practical problems from widely different contexts. Suggested formulations and solutions are given in the latter part of the book together with computational experience to give the reader a feel for the computation difficulty of solving that particular type of model. Aimed at undergraduates, postgraduates, research students and managers, this book illustrates the scope and limitations of mathematical programming, and shows how it can be applied to real situations. By emphasizing the importance of the building and interpretation of models rather than the solution process, the author attempts to fill a gap left by the many works which concentrate on the algorithmic side of the subject.

    Customer Reviews:

    5 out of 5 stars Great OR book.......2007-01-10

    This is an excellent book if you want to go deep understanding the true meaning of basic math programs.

    5 out of 5 stars Excellent.......2002-07-19

    If there is anything that I would hold against my favorite Operations Research books - it would be the lack of emphasis on model and structure. Williams' book fills in that gap and is an essential companion to every Math Prog book. It is not a cookbook where one can look up a particular problem and the possible ways to model it. Instead, it takes a systematic and very sensible approach to modeling.
    The three chapters on Integer Programming Models are amazingly easy to understand and were a real help during a graduate course in the subject. The huge number of practical examples in Parts 2, 3 and 4 of the book is the real value of the book. I would be hard-pressed for space to describe the range of problems that are modeled in Part 2... Part 3 covers a good deal of discussion on these formulations and Part 4 follows it up with solutions. Though solutions are not discussed in detail, they are a great help for someone who has worked hard through the problems and needs a verification of the solutions.
    Another useful section in the book is a chapter on the interpretation of Linear Programming solutions. For a person without a Math Prog background (say, a manager), this kind of material is very useful. In fact, it once served as a good refresher for me in a hurry... and an excellent one at that.
    The only sore point is a very limited discussion on nonlinear models.

    5 out of 5 stars The Best Book of Its Kind.......2002-04-10

    This is one of the only books I have ever encountered that focuses on the practical aspects of model formulation. This is a frequently overlooked aspect of optimization, but models that are well formulated will often result in superior performance. It is particularly strong in the formulation of mixed-integer problems, with a variety of tips for linearizing variable products and for incorporation of logical constructs. It also shows how to model SOS1 and SOS2 variable types. One other area that I found to be particularly useful was a section covering convexity analysis. This was the only book that I've read that did a good job of explaining the concepts and ramifications of problem convexity. Finally, the examples in the book cover a wide range of practical problems. Most are fairly simple, but do a good job of illustrating important techniques.

    I highly recommend this book for linear and mixed-integer modelers. However, if you don't use these types of solvers in your work, the book is less likely to be valuable.

    4 out of 5 stars Good book for every one.......2001-02-08

    Some books are good for mathematicians, some books are good for managers. This book is different. Williams did a good job to combine both mathematic and application perfective in a single book. Even you have only high school background, this book is readable. For senior researchers or grad students or strong math background person, this book is still enjoyable to recall your fundamental of math modeling. The references are not quite updated, however. Also, this book should added some current optimization tools. Even though the title is model building, not solving, it won't be harmful to have the metaheuristics (only introduction) or KKT.

    5 out of 5 stars It's so good!.......2000-06-03

    The book is wonderful. If I have the money, I think I will buy it. Sigh!
    Advanced Linear Models (Statistics: a Series of Textbooks and Monogrphs)
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      Advanced Linear Models (Statistics: a Series of Textbooks and Monogrphs)
      Shein-Chung Chow , and Song-Gui Wang
      Manufacturer: CRC
      ProductGroup: Book
      Binding: Hardcover

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      ASIN: 082479169X

      Book Description

      This work details the statistical inference of linear models including parameter estimation, hypothesis testing, confidence intervals, and prediction. The authors discuss the application of statistical theories and methodologies to various linear models such as the linear regression model, the analysis of variance model, the analysis of covariance model, and the variance components model.

      Advanced Linear Modeling
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        Advanced Linear Modeling
        Ronald Christensen
        Manufacturer: Springer
        ProductGroup: Book
        Binding: Hardcover

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        ASIN: 0387952969

        Book Description

        This book introduces several topics related to linear model theory: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis. The second edition adds new material on nonparametric regression, response surface maximization, and longitudinal models. The book provides a unified approach to these disparate subject and serves as a self-contained companion volume to the author's Plane Answers to Complex Questions: The Theory of Linear Models. Ronald Christensen is Professor of Statistics at the University of New Mexico. He is well known for his work on the theory and application of linear models having linear structure. He is the author of numerous technical articles and several books and he is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics. Also Available: Christensen, Ronald. Plane Answers to Complex Questions: The Theory of Linear Models, Second Edition (1996). New York: Springer-Verlag New York, Inc. Christensen, Ronald. Log-Linear Models and Logistic Regression, Second Edition (1997). New York: Springer-Verlag New York, Inc.
        Engineering Structures Under Extreme Conditions (Nato Science Series III, Computer and Systems Sciences)
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          Engineering Structures Under Extreme Conditions (Nato Science Series III, Computer and Systems Sciences)
          Slovenia) NATO Advanced Research Workshop on Multi-physics and Multi-scale Computer Models in Non-linear Analysis and Optimal Design of Engineering Structures under Extreme Conditions (2004 : Bled
          Manufacturer: IOS Press
          ProductGroup: Book
          Binding: Hardcover

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          ASIN: 1586034790

          Book Description

          Presently, there is a strong need for better understanding of the limits of the multi-scale and multi-physics methodology in terms of its practical value for modelling the behaviour of a given engineering structure, regarding the solution cost, result interpretation and model reliability. The issues concerning the formulation of a multi-physics problem, capturing the different scales in the solution and providing error estimates and bounds on the computed solution should all be examined. Another key issue in that sense concerns our ability to bring these advances in multi-scale and multi-physics nonlinear analysis to bear upon the solution of practically unlimited new capabilities of achieving the optimal design of structures under extreme conditions. In other words, the necessity for introducing a refined modelling approach is not only created by available computational tools, but more importantly to provide a better insight into any potential weakness of a structural system on hand and thus achieve a more economical design. The latter is becoming of paramount importance nowadays under ever increasing requirements of the market economies, where in a number of very competitive industrial sectors the need for economic design leads naturally towards the criteria based on ultimate limit state of a particular structural system on hand. This book allows exchange of the ideas on advanced computational models and techniques applicable to interdisciplinary, coupled and interaction problems, which are governing the complex behaviour of engineering structures.
          Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models (Nonconvex Optimization and Its Applications)
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            Manufacturer: Springer
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            Binding: Hardcover

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            ASIN: 1402001614

            Book Description

            The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.
            Identification, Adaptation, Learning: The Science of Learning Models from Data (NATO ASI Series / Computer and Systems Sciences)
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              Identification, Adaptation, Learning: The Science of Learning Models from Data (NATO ASI Series / Computer and Systems Sciences)

              Manufacturer: Springer
              ProductGroup: Book
              Binding: Hardcover

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              ASIN: 3540610804

              Book Description

              This book offers a tutorial view of recent trends in the science of modelling, adaptation, and learning. The most important modern approaches to identification, namely the stochastic, behavioral, subspace, and frequency domain approaches, are discussed thoroughly. On adaptation, tuning the parameters of a linear model is presented as a cure for uncertainty, and the asymptotics of recursive least squares and self-tuning systems are explained simply after a fully deterministic analysis. For constructing nonlinear models from data, neural networks and wavelets are considered as useful nonlinear tools, and fuzzy logic is presented as a way of coping with qualitative information. A final chapter deals with optimization methods. The book will become an important reference for researchers in the field.

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