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Statistical Methods For Overdispersed Count Data
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Book Synopsis Statistical Methods for Overdispersed Count Data by : Jean-Francois Dupuy
Download or read book Statistical Methods for Overdispersed Count Data written by Jean-Francois Dupuy and published by Elsevier. This book was released on 2018-11-19 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Methods for Overdispersed Count Data provides a review of the most recent methods and models for such data, including a description of R functions and packages that allow their implementation. All methods are illustrated on datasets arising in the field of health economics. As several tools have been developed to tackle over-dispersed and zero-inflated data (such as adjustment methods and zero-inflated models), this book covers the topic in a comprehensive and interesting manner. Includes reading on several levels, including methodology and applications Presents the state-of-the-art on the most recent zero-inflated regression models Contains a single dataset that is used as a common thread for illustrating all methodologies Includes R code that allows the reader to apply methodologies
Book Synopsis Modeling Count Data by : Joseph M. Hilbe
Download or read book Modeling Count Data written by Joseph M. Hilbe and published by Cambridge University Press. This book was released on 2014-07-21 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides guidelines and fully worked examples of how to select, construct, interpret and evaluate the full range of count models.
Book Synopsis Using and Understanding Medical Statistics by : D.E. Matthews
Download or read book Using and Understanding Medical Statistics written by D.E. Matthews and published by Karger Medical and Scientific Publishers. This book was released on 2015-07-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth revised edition of this highly successful book presents the most extensive enhancement since Using and Understanding Medical Statistics was first published 30 years ago. Without question, the single greatest change has been the inclusion of source code, together with selected output, for the award-winning, open-source, statistical package known as R. This innovation has enabled the authors to de-emphasize formulae and calculations, and let software do all of the ‘heavy lifting’. This edition also introduces readers to several graphical statistical tools, such as Q-Q plots to check normality, residual plots for multiple regression models, funnel plots to detect publication bias in a meta-analysis and Bland-Altman plots for assessing agreement in clinical measurements. New examples that better serve the expository goals have been added to a half-dozen chapters. In addition, there are new sections describing exact confidence bands for the Kaplan-Meier estimator, as well as negative binomial and zero-inflated Poisson regression models for over-dispersed count data. The end result is not only an excellent introduction to medical statistics, but also an invaluable reference for every discerning reader of medical research literature.
Book Synopsis Count Data Models by : Rainer Winkelmann
Download or read book Count Data Models written by Rainer Winkelmann and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents statistical methods for the analysis of events. The primary focus is on single equation cross section models. The book addresses both the methodology and the practice of the subject and it provides both a synthesis of a diverse body of literature that hitherto was available largely in pieces, as well as a contribution to the progress of the methodology, establishing several new results and introducing new models. Starting from the standard Poisson regression model as a benchmark, the causes, symptoms and consequences of misspecification are worked out. Both parametric and semi-parametric alternatives are discussed. While semi-parametric models allow for robust interference, parametric models can identify features of the underlying data generation process.
Download or read book Overdispersion written by John Hinde and published by Chapman & Hall. This book was released on 2002 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overdispersion is commonly encountered in modelling data. Statisticians and those working in the application areas need to know how to deal with it, and this book provides a complete source for identifying and handling overdispersion. With increasing focus on modelling in the applied sciences, this book is a welcome addition to the modelling literature for researchers and practitioners working in biometrics, medicine, and epidemiology. It is also excellent supplementary reading for a graduate or graduate-level course in statistical modelling.
Book Synopsis Modern Methods for Robust Regression by : Robert Andersen
Download or read book Modern Methods for Robust Regression written by Robert Andersen and published by SAGE. This book was released on 2008 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering an in-depth treatment of robust and resistant regression, this volume takes an applied approach and offers readers empirical examples to illustrate key concepts.
Book Synopsis Beyond Multiple Linear Regression by : Paul Roback
Download or read book Beyond Multiple Linear Regression written by Paul Roback and published by CRC Press. This book was released on 2021-01-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond Multiple Linear Regression: Applied Generalized Linear Models and Multilevel Models in R is designed for undergraduate students who have successfully completed a multiple linear regression course, helping them develop an expanded modeling toolkit that includes non-normal responses and correlated structure. Even though there is no mathematical prerequisite, the authors still introduce fairly sophisticated topics such as likelihood theory, zero-inflated Poisson, and parametric bootstrapping in an intuitive and applied manner. The case studies and exercises feature real data and real research questions; thus, most of the data in the textbook comes from collaborative research conducted by the authors and their students, or from student projects. Every chapter features a variety of conceptual exercises, guided exercises, and open-ended exercises using real data. After working through this material, students will develop an expanded toolkit and a greater appreciation for the wider world of data and statistical modeling. A solutions manual for all exercises is available to qualified instructors at the book’s website at www.routledge.com, and data sets and Rmd files for all case studies and exercises are available at the authors’ GitHub repo (https://github.com/proback/BeyondMLR)
Book Synopsis Model Based Inference in the Life Sciences by : David R. Anderson
Download or read book Model Based Inference in the Life Sciences written by David R. Anderson and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces a science philosophy called "information theoretic" based on Kullback-Leibler information theory. It focuses on a science philosophy based on "multiple working hypotheses" and statistical models to represent them. The text is written for people new to the information-theoretic approaches to statistical inference, whether graduate students, post-docs, or professionals. Readers are however expected to have a background in general statistical principles, regression analysis, and some exposure to likelihood methods. This is not an elementary text as it assumes reasonable competence in modeling and parameter estimation.
Book Synopsis Statistical Methods for Rates and Proportions by : Joseph L. Fleiss
Download or read book Statistical Methods for Rates and Proportions written by Joseph L. Fleiss and published by John Wiley & Sons. This book was released on 2013-06-12 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Das für Fachleute und fortgeschrittene Studenten konzipierte Buch beschäftigt sich mit dem Entwurf und der Analyse von Untersuchungen, Studien und Experimenten, bei denen qualitative und kategorische Daten anfallen. - jetzt in dritter Auflage - neue Informationen unter anderem zur logistischen Regression, zur Binomialverteilung, zu Daten von (zufälligen) Stichproben und zu den Delta-Methoden für Multinomialfrequenzen - Buch ist auf seinem Gebiet führend, das bewährte Material der Vorgängerauflagen wurde übernommen
Book Synopsis Statistical Analysis of Panel Count Data by : Jianguo Sun
Download or read book Statistical Analysis of Panel Count Data written by Jianguo Sun and published by Springer Science & Business Media. This book was released on 2013-10-09 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Panel count data occur in studies that concern recurrent events, or event history studies, when study subjects are observed only at discrete time points. By recurrent events, we mean the event that can occur or happen multiple times or repeatedly. Examples of recurrent events include disease infections, hospitalizations in medical studies, warranty claims of automobiles or system break-downs in reliability studies. In fact, many other fields yield event history data too such as demographic studies, economic studies and social sciences. For the cases where the study subjects are observed continuously, the resulting data are usually referred to as recurrent event data. This book collects and unifies statistical models and methods that have been developed for analyzing panel count data. It provides the first comprehensive coverage of the topic. The main focus is on methodology, but for the benefit of the reader, the applications of the methods to real data are also discussed along with numerical calculations. There exists a great deal of literature on the analysis of recurrent event data. This book fills the void in the literature on the analysis of panel count data. This book provides an up-to-date reference for scientists who are conducting research on the analysis of panel count data. It will also be instructional for those who need to analyze panel count data to answer substantive research questions. In addition, it can be used as a text for a graduate course in statistics or biostatistics that assumes a basic knowledge of probability and statistics.
Book Synopsis Frequentist Approaches to Overdispersed Repeated Measures Count Data by : Martin J. Frenzel
Download or read book Frequentist Approaches to Overdispersed Repeated Measures Count Data written by Martin J. Frenzel and published by . This book was released on 2012 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Repeated measures data refers to data sets in which observations are taken on each subject at multiple time points over a period of interest. In contrast to the analysis of independent data, repeated measures analysis must account for dependencies between observations on the same subject. With respect to count data, the term overdispersed refers to data that violates the mean-variance equality of a Poisson distribution. While the analysis of data exhibiting either one of these two properties has been described extensively, methods for analyzing data exhibiting both properties are less well-understood. The archetypal data set exhibiting these two properties is the so-called "seizure data set." Many approaches to analyzing these data appear in the literature. The classes of models suggested range from fully parametric conditional models to semi-parametric marginal (or GEE-type) models. The natural question is: "which, if any, of these methods should we use?" Outside asymptotic theory, answering this question requires simulated data. Thus, study of the processes that plausibly give rise to such data is a crucial first step. Probability processes for repeated measures data can generally be classified as observation driven or latent process approaches. Because probability processes for overdispersed count data inherently involve latent variables, the latter is more amenable to producing overdispersed repeated measures count data. Latent processes for producing overdispersed count data include Poisson processes conditioned on multivariate Gaussian variables and Poisson processes conditioned on multivariate gamma variables. The advantage of utilizing the former is the wide variety of multivariate Gaussian distributions available, while use of the latter aligns with methodology for producing independent, overdispersed count data. This thesis expands on multivariate gamma distributions, and examines the use of these distributions for producing overdispersed repeated measures count data. Probability processes for repeated measures data can generally be classified as observation driven or latent process approaches. Because probability processes for overdispersed count data inherently involve latent variables, the latter is more amenable to producing overdispersed repeated measures count data. Latent processes for producing overdispersed count data include Poisson processes conditioned on multivariate Gaussian variables and Poisson processes conditioned on multivariate gamma variables. The advantage of utilizing the former is the wide variety of multivariate Gaussian distributions available, while use of the latter aligns with methodology for producing independent, overdispersed count data. This thesis expands on multivariate gamma distributions, and examines the use of these distributions for producing overdispersed repeated measures count data. Characterization of the probability processes provides a basis for simulating overdispersed repeated measures count data. The relative merits of each class of models are explored via a simulation studying comparing their small-sample behavior under each of the previously described probability processes.
Book Synopsis Bioinformatic and Statistical Analysis of Microbiome Data by : Yinglin Xia
Download or read book Bioinformatic and Statistical Analysis of Microbiome Data written by Yinglin Xia and published by Springer Nature. This book was released on 2023-06-16 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book addresses the bioinformatic and statistical modelling and also the analysis of microbiome data using cutting-edge QIIME 2 and R software. It covers core analysis topics in both bioinformatics and statistics, which provides a complete workflow for microbiome data analysis: from raw sequencing reads to community analysis and statistical hypothesis testing. It includes real-world data from the authors’ research and from the public domain, and discusses the implementation of QIIME 2 and R for data analysis step-by-step. The data as well as QIIME 2 and R computer programs are publicly available, allowing readers to replicate the model development and data analysis presented in each chapter so that these new methods can be readily applied in their own research. Bioinformatic and Statistical Analysis of Microbiome Data is an ideal book for advanced graduate students and researchers in the clinical, biomedical, agricultural, and environmental fields, as well as those studying bioinformatics, statistics, and big data analysis.
Book Synopsis Generalized Linear Models and Extensions, Second Edition by : James W. Hardin
Download or read book Generalized Linear Models and Extensions, Second Edition written by James W. Hardin and published by Stata Press. This book was released on 2007 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deftly balancing theory and application, this book stands out in its coverage of the derivation of the GLM families and their foremost links. This edition has new sections on discrete response models, including zero-truncated, zero-inflated, censored, and hurdle count models, as well as heterogeneous negative binomial, and more.
Book Synopsis Regression Analysis of Count Data by : Adrian Colin Cameron
Download or read book Regression Analysis of Count Data written by Adrian Colin Cameron and published by Cambridge University Press. This book was released on 2013-05-27 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive and up-to-date account of regression methods to explain the frequency of events.
Book Synopsis Regression Models for Categorical and Limited Dependent Variables by : J. Scott Long
Download or read book Regression Models for Categorical and Limited Dependent Variables written by J. Scott Long and published by SAGE. This book was released on 1997-01-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluates the most useful models for categorical and limited dependent variables (CLDVs), emphasizing the links among models and applying common methods of derivation, interpretation, and testing. The author also explains how models relate to linear regression models whenever possible. Annotation c.
Book Synopsis Handbook of Statistical Methods for Randomized Controlled Trials by : KyungMann Kim
Download or read book Handbook of Statistical Methods for Randomized Controlled Trials written by KyungMann Kim and published by CRC Press. This book was released on 2021-08-23 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical concepts provide scientific framework in experimental studies, including randomized controlled trials. In order to design, monitor, analyze and draw conclusions scientifically from such clinical trials, clinical investigators and statisticians should have a firm grasp of the requisite statistical concepts. The Handbook of Statistical Methods for Randomized Controlled Trials presents these statistical concepts in a logical sequence from beginning to end and can be used as a textbook in a course or as a reference on statistical methods for randomized controlled trials. Part I provides a brief historical background on modern randomized controlled trials and introduces statistical concepts central to planning, monitoring and analysis of randomized controlled trials. Part II describes statistical methods for analysis of different types of outcomes and the associated statistical distributions used in testing the statistical hypotheses regarding the clinical questions. Part III describes some of the most used experimental designs for randomized controlled trials including the sample size estimation necessary in planning. Part IV describe statistical methods used in interim analysis for monitoring of efficacy and safety data. Part V describe important issues in statistical analyses such as multiple testing, subgroup analysis, competing risks and joint models for longitudinal markers and clinical outcomes. Part VI addresses selected miscellaneous topics in design and analysis including multiple assignment randomization trials, analysis of safety outcomes, non-inferiority trials, incorporating historical data, and validation of surrogate outcomes.
Book Synopsis Statistical Genomics by : Brooke Fridley
Download or read book Statistical Genomics written by Brooke Fridley and published by Springer Nature. This book was released on 2023-03-16 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a collection of protocols from researchers in the statistical genomics field. Chapters focus on integrating genomics with other “omics” data, such as transcriptomics, epigenomics, proteomics, metabolomics, and metagenomics. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Cutting-edge and thorough, Statistical Genomics hopes that by covering these diverse and timely topics researchers are provided insights into future directions and priorities of pan-omics and the precision medicine era.
