Showing posts with label probability. Show all posts
Showing posts with label probability. Show all posts

10/13/2012

Game Theory and Strategy (Mathematical Association of America Textbooks) Review

Game Theory and Strategy (Mathematical Association of America Textbooks)
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I found this book to be a very enjoyable read, covering the most interesting ideas in game theory and how they have impacted on other sciences from biology to sociology.
Almost no mathematical knowledge is required, because the text focuses on the ideas not the math.
Even if you want to learn about Game Theory including the mathematical foundation, I recommend to read this book first. It will wet your appetite for Game Theory and show the breath of ideas and applications.

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This book pays careful attention to applications of game theory in a wide variety of disciplines. The applications are treated in considerable depth. The book assumes only high school algebra, yet gently builds to mathematical thinking of some sophistication. Game Theory and Strategy might serve as an introduction to both axiomatic mathematical thinking and the fundamental process of mathematical modelling. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems.

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10/12/2012

Bayes and Empirical Bayes Methods for Data Analysis, Second Edition Review

Bayes and Empirical Bayes Methods for Data Analysis, Second Edition
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This book features a deep and focused lesson on Bayes and Empirical Bayes Methods. It goes through the key topics as conjugate priors, MCMC methods (non iteratives and iteratives as the well known Gibbs samplining and metropolitis hastings algorithms), model selection methods (as bayes factor) and issues related as model robusteness.
The Approach is increasingly formal and deeply complex, allowing for getting the basics or diving into more complex knowledge according to your former background. You need at least a good understanding of Frequentist statistic to be able to follow the reasonings. Each chapter allow you to stop at some point without losing the thread. Last part of the book is in fact deep knowledge demanding.
The most interesting point of this book according to my very limited statistics background is that it makes good comparations with the frequentist approach (classical approaches as confidence intervals and point estimators), checking performance of either method. Even, it features some combination of both approaches getting some bayessian intervals.
As a negative point, I would say that examples are hard to follow for someone with limited bakground and too much complex. They really do not clear me up enough.
All in all, is a very profitable book for jumping into bayesian methods.

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In recent years, Bayes and empirical Bayes (EB) methods have continued to increase in popularity and impact. Building on the first edition of their popular text, Carlin and Louis introduce these methods, demonstrate their usefulness in challenging applied settings, and show how they can be implemented using modern Markov chain Monte Carlo (MCMC) methods. Their presentation is accessible to those new to Bayes and empirical Bayes methods, while providing in-depth coverage valuable to seasoned practitioners.With its broad appeal as a text for those in biomedical science, education, social science, agriculture, and engineering, this second edition offers a relatively gentle and comprehensive introduction for students and practitioners already familiar with more traditional frequentist statistical methods. Focusing on practical tools for data analysis, the book shows how properly structured Bayes and EB procedures typically have good frequentist and Bayesian performance, both in theory and in practice.

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10/09/2012

Dynamic Models in Biology Review

Dynamic Models in Biology
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This is an excellent book for students or faculty interested in learning more about the current state of the art in modeling of biological systems. The authors make a great effort to keep the mathematical sophistication at a level that students (or faculty) who primarily have a biological background will still be able to follow in some detail. They are also able to suggest some of the exciting current areas of research and new areas for the future. All in all, well worth reading if you are interested in the topic of modeling of biological systems.

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9/23/2012

Bayesian Methods for Measures of Agreement (Chapman & Hall/CRC Biostatistics Series) Review

Bayesian Methods for Measures of Agreement (Chapman and Hall/CRC Biostatistics Series)
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This is the scond book of Lyle Broemeling that I am reviewing for Amazon. I met him at the Joint Statistical Meetings a few years ago when he was just retiring from M.D. Anderson. in recent years M. D. Anderson has become a leader in designing Bayesian adaptive designs of clinical trials. This is mainly due to the leadership of Don Berry who came to head up the biostatistics group at M. D. Anderson several years ago when he was attracted away from Duke. Broemeling benefitted from the arrival of Berry because he was establishe there as a Bayesian and had written a book on Bayesian analysis many years earlier.
Now that he is retired from M. D. Anderson he is writing applied biostatistics texts applying Bayesian methods to specialized topics. The first one which I reviewed earlier on amazon was on diagnostic testing and this one is to analyze measures of agreement among judges. The two books are both scholarly written and authoritative and clear. They both also provide many real examples based on Lyle's vast experience at M. D. Anderson.
A few years ago I was supporting the company BioImaging in the development of their protocols for medical imaging data from patients in oncology clinical trials. I learned that an important aspect of determining the efficacy of a drug against a particular cancer tumor. This performance is usually measured by individual ranking from radiologist who read the scans over time and assess growth or shrinkage of the tumor after being treated by a drug. Typically there are two or three readers and the rating of progression or remission depends on a concensus of the radiologists assessments.
This is exactly the problem Broemeling faced at at M. D. Anderson and he has a wealth of applications in the setting of oncology trials. Broemeling details the history of the develop of methods used to reach a conclusion. He provides a wealth of examples and also includes interesting examples from sports including an analysis of a famous boxing match between Lennox Lewis and Evander Holyfield. He deals methodically with the case of two raters (where an adjudicator general resolve the conflicting cases) and then three or more raters where things get more complicated.
Modern Bayesian approaches are demonstrated using the winBugs software. Broemeling provides the code in the winBugs language to handle various examples. This approach involves Markov Chain Monte Carlo methods. Examples are explained in detail and illustrated very carefully.
Broemeling also provides a history of the various statistics used to measure agrrement between readers or judges. Another example that struck me as very interesting is a forgery case where a signature was forged to produce a fake will. Usually in forgery cases the methods are used to find differences in the signature that are large enough to assert that they came from different people. However in this example the forged signature was traced from the original persons sample signature. So in the case the objective was to show that the cases are too similar not to have been forged. We are able to do this because we can show repeated signatures from the same hand will have more variability than the traced signature. So in this case the hired statisticians showed that the two signatures are much too similar for the second one to be real and independent of each other.
Bayesian sample size estimation is also covered in the text. It is a great reference book for anyone who does oncology trials and appreciates the advantages of the Bayesian approach. The Kappa measure is the one that is given the most attention in the book.

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Using WinBUGS to implement Bayesian inferences of estimation and testing hypotheses, Bayesian Methods for Measures of Agreement presents useful methods for the design and analysis of agreement studies. It focuses on agreement among the various players in the diagnostic process.The author employs a Bayesian approach to provide statistical inferences based on various models of intra- and interrater agreement. He presents many examples that illustrate the Bayesian mode of reasoning and explains elements of a Bayesian application, including prior information, experimental information, the likelihood function, posterior distribution, and predictive distribution. The appendices provide the necessary theoretical foundation to understand Bayesian methods as well as introduce the fundamentals of programming and executing the WinBUGS software.Taking a Bayesian approach to inference, this hands-on book explores numerous measures of agreement, including the Kappa coefficient, the G coefficient, and intraclass correlation. With examples throughout and end-of-chapter exercises, it discusses how to successfully design and analyze an agreement study.

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9/11/2012

Utility-Based Learning from Data (Chapman & Hall/CRC Machine Learning & Pattern Recognition) Review

Utility-Based Learning from Data (Chapman and Hall/CRC Machine Learning and Pattern Recognition)
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This book is just as great inside the cover as
the elegant cover leads you to expect.
A very ambitious book with a very broad scope.
As a Professor of Applied Mathematics and
of mathematical finance, I very much look
forward to presenting parts of this material
in the future.
Concerning the contents, citing from the introduction of
the book:"Our point of view is motivated by the notion that probabilistic models are
usually not learned for their own sake-rather, they are used to make decisions"
and "finance and decision theory provide a language in which it is
natural to express these assumptions-namely, utility theory-and formulate,
from first principals, model performance measures and the notion of optimal
and robust model performance"
and the books purpose is : " to provide a pedagogical and self-contained discussion of a select set of
methods for estimating probability distributions that can be approached
coherently from a decision-theoretic point of view"
The last sentence is extremely telling. Friedman and Sandow indeed
demonstrate in this book that, in struggling to quantify
default risk, in their daytime jobs at Standard and Poor's,
they carefully put into place their own approach, and painstakingly
tested it on read data, throughout many different economic
cycles (as far back as 2001, when I worked in Friedman's group).
In addition, after Friedman presented some of this material at
New York University's Courant Institute, Friedman and Sandow saw fit to
include a through introduction to topics which are of interest
to all economic students, such as utility theory and
minimum relative theory. And they do so in a crisp, clear and no-nonsense
manner that is rarely seen in books on economics.
A key aspect of the point of view taken in this book, is to relate
betting odds, such as in a horse race, to expected
growth of wealth.
Readers should race to the bookstore to get a
hold of this book!

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Utility-Based Learning from Data provides a pedagogical, self-contained discussion of probability estimation methods via a coherent approach from the viewpoint of a decision maker who acts in an uncertain environment. This approach is motivated by the idea that probabilistic models are usually not learned for their own sake; rather, they are used to make decisions. Specifically, the authors adopt the point of view of a decision maker who(i) operates in an uncertain environment where the consequences of possible outcomes are explicitly monetized,(ii) bases his decisions on a probabilistic model, and(iii) builds and assesses his models accordingly.These assumptions are naturally expressed in the language of utility theory, which is well known from finance and decision theory. By taking this point of view, the book sheds light on and generalizes some popular statistical learning approaches, connecting ideas from information theory, statistics, and finance. It strikes a balance between rigor and intuition, conveying the main ideas to as wide an audience as possible.

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9/06/2012

Mathematics and Technology (Springer Undergraduate Texts in Mathematics and Technology) Review

Mathematics and Technology (Springer Undergraduate Texts in Mathematics and Technology)
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A interesting book covering a wide range of applications. The titles of the first four, of eleven, chapters gives a sense of the broad diversity of topics: (1) Positioning on Earth and in Space, (2) Friezes and Mosaics, (3) Robotic motion, (4) Skeletons and Gamma-Ray Radiosurgery. The material is generally well-written and is always interesting and instructive. This translation contains the occasional awkward sentence and, at least for U.S. readers, the occasional variant spellings, e.g., surprizing instead of surprising. At times, these can interrupt the smooth 'flow' of the text. Translation issues aside, this is a book that is both understandable and worth understanding.
Debatably, the most interesting application area presented is "Friezes and Mosaics", with its connection to linear algebra, symmetries, and transformations. Not surprisingly, applications discussed here are generally not unique to this work, and also appear in other application collections, e.g, the first chapter of "The Lighter Side of Mathematics" edited by Richard Guy also contains a discussion of frieze patterns.
There is some issue with marketing's description of the necessary mathematical prerequisites. Its overly optimistic to say, this book is "suitable for any curious individual with a decent command of high school math". This is an under-specification of the full prerequisite requirements.
For example, in the second chapter on Friezes and Mosaics readers are asked to remember, from their prior course work, "the classification of extrema of two variables using the second partial derivative test" and "the Hessian matrix". To gain full value from all chapters, readers will need in addition to linear algebra and Euclidean geometry, basic probability theory, as well as single variable and multivariable calculus. That is, they'll need more mathematical experience and maturity than might be implied from the specified prerequisite of a " decent command of high school math".
In conclusion: Acknowledging the occasional, albeit minor, awkwardness of the translation, for those with the appropriate mathematical prerequisites, this text can be recommended for its informative presentation of a variety of diverse and interesting mathematical applications.

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This book introduces the student to numerous modern applications of mathematics in technology. The authors write with clarity and present the mathematics in a clear and straightforward way making it an interesting and easy book to read. Numerous exercises at the end of every section provide practice and reinforce the material in the chapter. An engaging quality of this book is that the authors also present the mathematical material in a historical context and not just the practical one.Mathematics and Technology is intended for undergraduate students in mathematics, instructors and high school teachers. Additionally, its lack of calculus centricity as well as a clear indication of the more difficult topics and relatively advanced references make it suitable for any curious individual with a decent command of high school math.

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9/01/2012

Applied Probability and Stochastic Processes Review

Applied Probability and Stochastic Processes
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I randomly ran across this book in my math library trying to find an extra book to help with the difficult Stochastics Process class I was taking. Little did I know I would find a book I value as much as Douglas Kelly's Introduction to Probability. This book has applied problems and examples! It is not the dry, endless pages of confusing equations we have come to expect from Stochastics Processes books. There is something better out there! This book saved me as an undergraduate, and am now looking forward to it living up to my God like expecations as a post grad. If you are a professor, please use this book for you students. It ties together and lets you appreciate many fields such as linear analysis and even graph theory from computer science. This book will not disappoint.

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This book presents applied probability and stochastic processes in an elementary but mathematically precise manner, with numerous examples and exercises to illustrate the range of engineering and science applications of the concepts. The book is designed to give the reader an intuitive understanding of probabilistic reasoning, in addition to an understanding of mathematical concepts and principles. The initial chapters present a summary of probability and statistics and then Poisson processes, Markov chains, Markov processes and queuing processes are introduced. Advanced topics include simulation, inventory theory, replacement theory, Markov decision theory, and the use of matrix geometric procedures in the analysis of queues.Included in the second edition are appendices at the end of several chapters giving suggestions for the use of Excel in solving the problems of the chapter. Also new in this edition are an introductory chapter on statistics and a chapter on Poisson processes that includes some techniques used in risk assessment. The old chapter on queues has been expanded and broken into two new chapters: one for simple queuing processes and one for queuing networks. Support is provided through the web site http://apsp.tamu.edu where students will have the answers to odd numbered problems and instructors will have access to full solutions and Excel files for homework.

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7/29/2012

The Frailty Model (Statistics for Biology and Health) Review

The Frailty Model (Statistics for Biology and Health)
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The authors are academics who have done serious research in survival analysis and are very familiar with frailty models. The topic comes up when time to event data for one event is correlated with the time to event data for another or other events. This topic is sometimes referred to a subject in multivariate survival analysis or the analysis of clustered survival data.
As a professional biostatistician with a keen interest in survival models I have attended professional meetings in recent years and heard the term Frailty Model mentioned but I didn't know what it was. There of course is the natural connotation of weakness as in a feeble or frail person. But the actual formal dtatisticial meaning was a mystery. Other books that I am very familar with deal in part with frailty models but this is to my knowledge the first serious text dedicated to this topic. It also covers related methods to accomplish the same goal such as copulas (another term common in recent books and literature but one I was not familiar with either). For example Philip Hougaard wrote the first advanced text on multivariate survival models and covers parametric forms of frailty models. Klein and Moeschberger wrote a generaal survival analysis book that includes a chapter on semi-parameric fraility models. It showa how the EM algorithm is used to estimate parameters of the models. Ibrahim and colleague wrote a book on Bayesian methods in survival analysis and cover the Bayesian approach to both semi-parametric and parametric fraility models. Therneau and Grambsch wrote a recent book on the Cox proportional hazard model and its extensions. It included information on semi-parametric frailty models using the penalized partial likelihood approach to estimation.
This book is a well-written introduction to fraility models that includes all these methods provides real world examples and good explanations on how to interpret the results. The examples are illustrated using the freeware language R. This book could serve as either an undergraduate or graduate text in statistical methods and is a great reference for biostatisticians.

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Readers will find in the pages of this book a treatment of the statistical analysis of clustered survival data. Such data are encountered in many scientific disciplines including human and veterinary medicine, biology, epidemiology, public health and demography. A typical example is the time to death in cancer patients, with patients clustered in hospitals. Frailty models provide a powerful tool to analyze clustered survival data. In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data. All programs used for these examples are available on the Springer website.

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7/16/2012

Handbook of Statistics, Volume 25: Bayesian Thinking, Modeling and Computation Review

Handbook of Statistics, Volume 25: Bayesian Thinking, Modeling and Computation
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Professor Krishnaiah had the idea of creating a series of handbooks on statstics with each volume covering a major topic or branch of statistical methodology. The handbooks are intended to have research articles that may contain very new developments in the field but also include articles that survey the field to give the professional statistician a great reference to look at when wishing to apply a technique or do new research in the area.
The famous Professor C. R. Rao took over the editing job after Krishnaiah's passing. Professor Rao had previously coedited some of these volumes with Krishnaiah and contributed articles. It was Krishnaiah who brought Rao to the United States and the University of Pittsburgh from India.
This volume covers Bayesian statistics with expository articles on Bayesian principles, statistical models and the computational aspects of the Markov Chain Monte Carlo algorithms that now allow for the solution of many Bayesian problems that were previously not tractable.

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This volume describes how to develop Bayesian thinking, modelling and computation both from philosophical, methodological and application point of view. It further describes parametric and nonparametric Bayesian methods for modelling and how to use modern computational methods to summarize inferences using simulation. The book covers wide range of topics including objective and subjective Bayesian inferences with a variety of applications in modelling categorical, survival, spatial, spatiotemporal, Epidemiological, software reliability, small area and micro array data. The book concludes with a chapter on how to teach Bayesian thoughts to nonstatisticians.
Key Features:
-Critical thinking on causal effects -Objective Bayesian philosophy -Nonparametric Bayesian methodology -Simulation based computing techniques -Bioinformatics and Biostatistics Key Features:
Critical thinking on causal effects Objective Bayesian philosophy Nonparametric Bayesian methodology Simulation based computing techniques Bioinformatics and Biostatistics

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7/12/2012

Multivariate Statistical Modelling Based on Generalized Linear Models (Springer Series in Statistics) Review

Multivariate Statistical Modelling Based on Generalized Linear Models (Springer Series in Statistics)
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Back in 2000 Stephen Fienberg gave a talk at the University of California at Irvine on the 2000 census and his book "Who Counts". After the talk I went to dinner with him, my colleague Bob Newcomb and Anita Iannucci. Driving to dinner Bob ask Steve for a recommendation on a multivariate textbook. A number of choice were mentioned. Bob's favorite was Cooley and Lohnes but that was a bit dated. He was definitely looking for an applied text and not a theoretical one. I learned my multivariate analysis out of the first edition of Ted Anderson's book. But that is traditional multivariate Gaussian theory and is not at all an applied text. I always liked Gnanadesikan's book and I mentioned that. Srivastava and carter is an applied text that I like and there are many other choices.
I don't recall many of Fienberg's suggestions but I do distinctly recall that he did say that now you can teach it as a special case of the generalized linear models. The idea seemed to make sense to me but I couldn't picture the details. This book is apparently the book Fienberg had in mind. He might have been thinking about the first edition because this second edition was not out then.
The book is very applied and modern and covers many important topics for biostatisticians. Coverage includes multicategorical responses, semi and nonparametric modelling, time series and longitudinal data, random effects models, state space models including Kalman Filters and nonlinear models, and survival analysis. This is not traditional multivariate data but covers many type of multivariate data and models that do not fit the standard multivariate Gaussian theory.
Chapter 4 on selecting and checking models seems to deal with the classical linear models taking a non-standard approach through the methods of generalized linear models.
Excellent text for an applied course and for a reference book. It also covers hidden Markov models and Bayesian methods (including the MCMC implementation and the WinBugs software).


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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.

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6/27/2012

Bayesian Adaptive Methods for Clinical Trials (Chapman & Hall/CRC Biostatistics Series) Review

Bayesian Adaptive Methods for Clinical Trials (Chapman and Hall/CRC Biostatistics Series)
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In the pharmaceutical industry adaptive designs are currently the rage because of their many potential advantages due to their flexibility. It allows you to stop early for efficacy or futility. It can do drug dose selection more easily and may have patients on inferior treatment for smaller amounts of time. There have already been four or five books published from the frequentist point of view. This is the first serious text on adaptive designs using the Bayesian approach. Pharmaceutical companies including Johnson and Johnson, Eli Lilly, Pfizer, Merck, Novartis, Novo Nordisk, Millennium, AMAG and GlaxoSmithKline have all been successful at running adaptive trials. Merck for example has already completed more than 40 adaptive design trials. Such trials can be done in phase II, phase III or a combining of phases II and III in a single adaptive trial. Merck claims to have completed over 40 adaptive trials. The M D Anderson Medical Center at UT Houston runs hundreds of adaptive trials (all as far as I know using the Bayesian methodology). Don Berry runs the biostatistics group at M D Anderson and he and his son scott own a consulting group that helps companies run Bayesian adaptive designs. Eli Lilly has been one of their clients on a drug trial and Biosense Webster, a J& J company, used them for a Bayesian trial on one of their ablation catheters. Scott Berry isone of the authors of this book and a lot of the book is devoted to work of Berry first at Duke and then later at M D Anderson and Berry Consultants.
Adaptive designs have logistic problems but companies have been able to overcome the problems motivated by the overall time and money saving benefits. All types of studies are illustrated from phase I through phase III and the examples are real and practical. Even when taking the Bayesian approach issues of frequentist properties for the designs comes up. Missing data, multiple testing, type I error and power of the test conditional and unconidtional are important when the frequentist approach is applied. The authors admit that both frequentist and Bayesian properties for a design are important and can be evaluated through simulation.
Although adaptive designs can be implemented effectively using either the Bayesian or the frequentist approaches. But Bayesian trials are a little more natural and simpler. This is the right book to get if you are interested in Bayesian methods.

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Already popular in the analysis of medical device trials, adaptive Bayesian designs are increasingly being used in drug development for a wide variety of diseases and conditions, from Alzheimer's disease and multiple sclerosis to obesity, diabetes, hepatitis C, and HIV. Written by leading pioneers of Bayesian clinical trial designs, Bayesian Adaptive Methods for Clinical Trials explores the growing role of Bayesian thinking in the rapidly changing world of clinical trial analysis.The book first summarizes the current state of clinical trial design and analysis and introduces the main ideas and potential benefits of a Bayesian alternative. It then gives an overview of basic Bayesian methodological and computational tools needed for Bayesian clinical trials. With a focus on Bayesian designs that achieve good power and Type I error, the next chapters present Bayesian tools useful in early (Phase I) and middle (Phase II) clinical trials as well as two recent Bayesian adaptive Phase II studies: the BATTLE and ISPY-2 trials. In the following chapter on late (Phase III) studies, the authors emphasize modern adaptive methods and seamless Phase II-III trials for maximizing information usage and minimizing trial duration. They also describe a case study of a recently approved medical device to treat atrial fibrillation. The concluding chapter covers key special topics, such as the proper use of historical data, equivalence studies, and subgroup analysis.For readers involved in clinical trials research, this book significantly updates and expands their statistical toolkits. The authors provide many detailed examples drawing on real data sets. The R and WinBUGS codes used throughout are available on supporting websites.

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6/17/2012

Robotics: Modelling, Planning and Control (Advanced Textbooks in Control and Signal Processing) Review

Robotics: Modelling, Planning and Control (Advanced Textbooks in Control and Signal Processing)
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This book has everything a new grad student or aspiring roboticist would want. It covers the mechanics, the controls and even some vision for robotic manipulators. Very nice resource.

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Based on the successful Modelling and Control of Robot Manipulators by Sciavicco and Siciliano (Springer, 2000), Robotics provides the basic know-how on the foundations of robotics: modelling, planning and control. It has been expanded to include coverage of mobile robots, visual control and motion planning. A variety of problems is raised throughout, and the proper tools to find engineering-oriented solutions are introduced and explained.The text includes coverage of fundamental topics like kinematics, and trajectory planning and related technological aspects including actuators and sensors.To impart practical skill, examples and case studies are carefully worked out and interwoven through the text, with frequent resort to simulation. In addition, end-of-chapter exercises are proposed, and the book is accompanied by an electronic solutions manual containing the MATLAB code for computer problems; this is available free of charge to those adopting this volume as a textbook for courses.

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6/03/2012

Structural Equations with Latent Variables Review

Structural Equations with Latent Variables
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The software Lisrel was developed to model and analyze data using structural equation models which involve the introduction of latent variables. Although this topic has historically been most commonly used in the social sciences including psychology and sociology, it is finding a wide range of applications as statisticians encounter more and more problems where it is appropriate to use latent variables.
Bollen provides a thorough treatment of the topic that has advanced some since the publication of the book . This is still the best source for a detailed account of the methods. Bengt Meuthen at UCLA was one of the pioneers of the methodology and his books and papers provide good additional sources for the reader who wants to understand the theory and the software tools.

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Analysis of Ordinal Categorical Data Alan Agresti Statistical Science Now has its first coordinated manual of methods for analyzing ordered categorical data. This book discusses specialized models that, unlike standard methods underlying nominal categorical data, efficiently use the information on ordering. It begins with an introduction to basic descriptive and inferential methods for categorical data, and then gives thorough coverage of the most current developments, such as loglinear and logit models for ordinal data. Special emphasis is placed on interpretation and application of methods and contains an integrated comparison of the available strategies for analyzing ordinal data. This is a case study work with illuminating examples taken from across the wide spectrum of ordinal categorical applications. 1984 (0 471-89055-3) 287 pp. Regression Diagnostics Identifying Influential Data and Sources of Collinearity David A. Belsley, Edwin Kuh and Roy E. Welsch This book provides the practicing statistician and econometrician with new tools for assessing the quality and reliability of regression estimates. Diagnostic techniques are developed that aid in the systematic location of data points that are either unusual or inordinately influential; measure the presence and intensity of collinear relations among the regression data and help to identify the variables involved in each; and pinpoint the estimated coefficients that are potentially most adversely affected. The primary emphasis of these contributions is on diagnostics, but suggestions for remedial action are given and illustrated. 1980 (0 471-05856-4) 292 pp. Applied Regression Analysis Second Edition Norman Draper and Harry Smith Featuring a significant expansion of material reflecting recent advances, here is a complete and up-to-date introduction to the fundamentals of regression analysis, focusing on understanding the latest concepts and applications of these methods. The authors thoroughly explore the fitting and checking of both linear and nonlinear regression models, using small or large data sets and pocket or high-speed computing equipment. Features added to this Second Edition include the practical implications of linear regression; the Durbin-Watson test for serial correlation; families of transformations; inverse, ridge, latent root and robust regression; and nonlinear growth models. Includes many new exercises and worked examples. 1981 (0 471-02995-5) 709 pp.

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5/29/2012

Latent Variable Models: An Introduction to Factor, Path, and Structural Equation Analysis Review

Latent Variable Models: An Introduction to Factor, Path, and Structural Equation Analysis
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I read this book's earlier edition so that I know this book is a good one. I bought a kindle version of it and found that the 4th edition is meeting my expectation. Only troubling issue that I found from this kindle version is that the data cd coming with a paper version of this book is missing in kindle version. Neither the publisher nor the amazon.com provide a link to the data cd. My complain to amazon.com is that they didn't inform their customer about this.

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This book introduces multiple-latent variable models by utilizing path diagrams to explain the underlying relationships in the models. This approach helps less mathematically inclined students grasp the underlying relationships between path analysis, factor analysis, and structural equation modeling more easily. A few sections of the book make use of elementary matrix algebra. An appendix on the topic is provided for those who need a review. The author maintains an informal style so as to increase the book's accessibility. Notes at the end of each chapter provide some of the more technical details. The book is not tied to a particular computer program, but special attention is paid to LISREL, EQS, AMOS, and Mx. New in the fourth edition of Latent Variable Models: *a data CD that features the correlation and covariance matrices used in the exercises; *new sections on missing data, non-normality, mediation, factorial invariance, and automating the construction of path diagrams; and *reorganization of chapters 3-7 to enhance the flow of the book and its flexibility for teaching. Intended for advanced students and researchers in the areas of social, educational, clinical, industrial, consumer, personality, and developmental psychology, sociology, political science, and marketing, some prior familiarity with correlation and regression is helpful.

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5/24/2012

Stats: Modeling the World Review

Stats: Modeling the World
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My study habits and high school curriculum (early 1950s) did not prepare me for college calculus, so I was limited to taking applied statistics courses as an undergraduate (6 in all), all before the days of computers. I have used statistics all during my professional career and constantly searched for new books to refresh my memory or to learn new statistical techniques. Intro Stats by Velleman and De Veaux is by far the best text I have ever encountered. It is written in an easily understandable style, is well structured, and very user friendly. I recommend it highly.

Click Here to see more reviews about: Stats: Modeling the World

Stats: Modeling the World is a modern book in many ways. It carries a core focus on statistical thinking throughout the text, emphasizing how statistics helps us to understand the world. And it utilizes both graphing calculator and computer software technologies in doing Statistics. The topic order is designed to ensure that each new topic fits into the growing structure of understanding that students build. The mantra of Think, Show, and Tell is repeated in every chapter, emphasizing the importance of thinking about a statistics question and reporting our findings. The authors know that the best way to teach is with humor. The book is fun to read. And students report that they actually read it. (Honest!)--This text refers to an out of print or unavailable edition of this title.

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4/25/2012

Introduction to Matrix Analytic Methods in Stochastic Modeling (ASA-SIAM Series on Statistics and Applied Probability) (English and Spanish Edition) Review

Introduction to Matrix Analytic Methods in Stochastic Modeling (ASA-SIAM Series on Statistics and Applied Probability) (English and Spanish Edition)
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Matrix Analytic Methods (MAM) are great modeling tools that can analyze a variety of stochastic systems in a unified way and in an algorithmically tractable manner. This book is one of the greatest that have been published on queueing theory and stochastic modeling.
This book covers
1. Examples of quasi-birth-and-death (QBD) processes.
2. Phase-type distributions
3. Stationary and non-stationary QBDs
4. Algorithms (from probabilistic reasoning)
5. And many others.
I used this book as a text for my graduate students and it was a real pleasure. Throughout the books, readers will see MAM as an art of modeling and analysis of stochastic systems, not the pile of techniques.
This book is aiming at readers in queueing theory, computer science, OR/MS, statistics, mathematics, and many other related disciplines. This book also serves as the source of bibliography not otherwise easily available.

Click Here to see more reviews about: Introduction to Matrix Analytic Methods in Stochastic Modeling (ASA-SIAM Series on Statistics and Applied Probability) (English and Spanish Edition)

Matrix analytic methods are popular as modeling tools because they give one the ability to construct and analyze a wide class of queuing models in a unified and algorithmically tractable way. The authors present the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner. In the current literature, a mixed bag of techniques is used-some probabilistic, some from linear algebra, and some from transform methods. Here, many new proofs that emphasize the unity of the matrix analytic approach are included.

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4/03/2012

Random Fields on a Network: Modeling, Statistics, and Applications (Probability and Its Applications) Review

Random Fields on a Network: Modeling, Statistics, and Applications (Probability and Its Applications)
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Guyon has done research in the theory of random fields. This text was first published in French in 1992 and then translated to English and published by Springer-Verlag in 1995. This theory is rapidly developing and there have been many new advances over the nine years since the publication of this work. Nevertheless it contains a good theoretical development and treatment of the theory and provides applications to image processing.
The important results on stochastic algorithms are covered in Chapter Six which includes the results on Gibbs sampling that first had a big impact on spatial modeling and image processing through the work of the Gemans. Later it was recognized to be a special case of Markov Chain Monte Carlo modeling that is now so crucial to the practical implementation of Bayesian statistical methods.
The book contains an excellent list of over 175 references.


Click Here to see more reviews about: Random Fields on a Network: Modeling, Statistics, and Applications (Probability and Its Applications)

The theory of spatial models over lattices, or random fields as they are known, has developed significantly over recent years. This book provides a graduate-level introduction to the subject which assumes only a basic knowledge of probability and statistics, finite Markov chains, and the spectral theory of second-order processes. A particular strength of this book is its emphasis on examples - both to motivate the theory which is being developed, and to demonstrate the applications which range from statistical mechanics to image analysis and from statistics to stochastic algorithms.

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