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Statistical Methods For Overdispersed Count Data

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Statistical Methods for Overdispersed Count Data

Statistical Methods for Overdispersed Count Data Book
Author : Jean-Francois Dupuy
Publisher : Elsevier
Release : 2018-11-19
ISBN : 008102374X
Language : En, Es, Fr & De

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Book Description :

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

Modeling Count Data

Modeling Count Data Book
Author : Joseph M. Hilbe
Publisher : Cambridge University Press
Release : 2014-07-21
ISBN : 1107028337
Language : En, Es, Fr & De

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Book Description :

"This entry-level text offers clear and concise guidelines on how to select, construct, interpret, and evaluate count data. Written for researchers with little or no background in advanced statistics, the book presents treatments of all major models using numerous tables, insets, and detailed modeling suggestions. It begins by demonstrating the fundamentals of linear regression and works up to an analysis of the Poisson and negative binomial models, and to the problem of overdispersion. Examples in Stata, R, and SAS code enable readers to adapt models for their own purposes, making the text an ideal resource for researchers working in public health, ecology, econometrics, transportation, and other related fields"--

Statistical Methods for Rates and Proportions

Statistical Methods for Rates and Proportions Book
Author : Joseph L. Fleiss,Bruce Levin,Myunghee Cho Paik
Publisher : John Wiley & Sons
Release : 2013-06-12
ISBN : 1118625617
Language : En, Es, Fr & De

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Book Description :

* Includes a new chapter on logistic regression. * Discusses the design and analysis of random trials. * Explores the latest applications of sample size tables. * Contains a new section on binomial distribution.

Statistical Methods in Toxicology

Statistical Methods in Toxicology Book
Author : Ludwig Hothorn
Publisher : Springer Science & Business Media
Release : 2013-03-08
ISBN : 364248736X
Language : En, Es, Fr & De

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Book Description :

This book contains selected papers from a workshop on modern statistical methods in toxicology held during the EUROTOX '90 conference in Leipzig. The papers deal with the biostatistical evaluation of the commonly used toxicological assays, i.e. mutagenicity, long-term carcinogenicity, embryotoxicity and chronic toxicity assays. The biological background is considered in detail, and most of the related statistical approaches described. In five overview papers, the present state of the art of the related topics is given, while in several contributed papers new approaches are discussed. The most important features are: - A new view on the per-litter analysis problem in em- bryotoxicity assays. - A highly sophisticated treatment of the so-called muta-tox problem in mutagenicity assays. - A detailed discussion of the multiplicity problem based on the closed testing procedure. This volume provides readers with an overview of modern biostatistical methods for several toxicological assays and is in part intended for direct, practical use.

Model Based Inference in the Life Sciences

Model Based Inference in the Life Sciences Book
Author : David R. Anderson
Publisher : Springer Science & Business Media
Release : 2007-12-22
ISBN : 0387740759
Language : En, Es, Fr & De

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Book Description :

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.

Handbook of Statistical Methods for Randomized Controlled Trials

Handbook of Statistical Methods for Randomized Controlled Trials Book
Author : KyungMann Kim,Frank Bretz,Ying Kuen K. Cheung,Lisa V. Hampson
Publisher : CRC Press
Release : 2021-08-23
ISBN : 1498714641
Language : En, Es, Fr & De

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Book Description :

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.

Analysis of Longitudinal Data with Example

Analysis of Longitudinal Data with Example Book
Author : You-Gan Wang,Liya Fu,Sudhir Paul
Publisher : CRC Press
Release : 2022-01-28
ISBN : 1498764622
Language : En, Es, Fr & De

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Book Description :

Development in methodology on longitudinal data is fast. Currently, there are a lack of intermediate /advanced level textbooks which introduce students and practicing statisticians to the updated methods on correlated data inference. This book will present a discussion of the modern approaches to inference, including the links between the theories of estimators and various types of efficient statistical models including likelihood-based approaches. The theory will be supported with practical examples of R-codes and R-packages applied to interesting case-studies from a number of different areas. Key Features: •Includes the most up-to-date methods •Use simple examples to demonstrate complex methods •Uses real data from a number of areas •Examples utilize R code

Methods and Applications of Statistics in Clinical Trials Volume 2

Methods and Applications of Statistics in Clinical Trials  Volume 2 Book
Author : N. Balakrishnan
Publisher : John Wiley & Sons
Release : 2014-06-16
ISBN : 1118595963
Language : En, Es, Fr & De

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Book Description :

Methods and Applications of Statistics in Clinical Trials,Volume 2: Planning, Analysis, and Inferential Methods includesupdates of established literature from the Wiley Encyclopedia ofClinical Trials as well as original material based on the latestdevelopments in clinical trials. Prepared by a leading expert, thesecond volume includes numerous contributions from currentprominent experts in the field of medical research. In addition,the volume features: • Multiple new articles exploring emerging topics, such asevaluation methods with threshold, empirical likelihood methods,nonparametric ROC analysis, over- and under-dispersed models, andmulti-armed bandit problems • Up-to-date research on the Cox proportional hazardmodel, frailty models, trial reports, intrarater reliability,conditional power, and the kappa index • Key qualitative issues including cost-effectivenessanalysis, publication bias, and regulatory issues, which arecrucial to the planning and data management of clinical trials

Statistical Analysis of Microbiome Data with R

Statistical Analysis of Microbiome Data with R Book
Author : Yinglin Xia,Jun Sun,Ding-Geng Chen
Publisher : Springer
Release : 2018-10-06
ISBN : 9811315345
Language : En, Es, Fr & De

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Book Description :

This unique book addresses the statistical modelling and analysis of microbiome data using cutting-edge R software. It includes real-world data from the authors’ research and from the public domain, and discusses the implementation of R for data analysis step by step. The data 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. The book also discusses recent developments in statistical modelling and data analysis in microbiome research, as well as the latest advances in next-generation sequencing and big data in methodological development and applications. This timely book will greatly benefit all readers involved in microbiome, ecology and microarray data analyses, as well as other fields of research.

Analysis of Longitudinal Data with Example

Analysis of Longitudinal Data with Example Book
Author : You-Gan Wang,Liya Fu,Sudhir Paul
Publisher : CRC Press
Release : 2022-01-28
ISBN : 1351649671
Language : En, Es, Fr & De

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Book Description :

Development in methodology on longitudinal data is fast. Currently, there are a lack of intermediate /advanced level textbooks which introduce students and practicing statisticians to the updated methods on correlated data inference. This book will present a discussion of the modern approaches to inference, including the links between the theories of estimators and various types of efficient statistical models including likelihood-based approaches. The theory will be supported with practical examples of R-codes and R-packages applied to interesting case-studies from a number of different areas. Key Features: •Includes the most up-to-date methods •Use simple examples to demonstrate complex methods •Uses real data from a number of areas •Examples utilize R code

Statistical Analysis of Microbiome Data

Statistical Analysis of Microbiome Data Book
Author : Somnath Datta,Subharup Guha
Publisher : Springer Nature
Release : 2021
ISBN : 3030733513
Language : En, Es, Fr & De

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Book Description :

Microbiome research has focused on microorganisms that live within the human body and their effects on health. During the last few years, the quantification of microbiome composition in different environments has been facilitated by the advent of high throughput sequencing technologies. The statistical challenges include computational difficulties due to the high volume of data; normalization and quantification of metabolic abundances, relative taxa and bacterial genes; high-dimensionality; multivariate analysis; the inherently compositional nature of the data; and the proper utilization of complementary phylogenetic information. This has resulted in an explosion of statistical approaches aimed at tackling the unique opportunities and challenges presented by microbiome data. This book provides a comprehensive overview of the state of the art in statistical and informatics technologies for microbiome research. In addition to reviewing demonstrably successful cutting-edge methods, particular emphasis is placed on examples in R that rely on available statistical packages for microbiome data. With its wide-ranging approach, the book benefits not only trained statisticians in academia and industry involved in microbiome research, but also other scientists working in microbiomics and in related fields.

Applied Categorical and Count Data Analysis

Applied Categorical and Count Data Analysis Book
Author : Wan Tang,Hua He,Xin M. Tu
Publisher : CRC Press
Release : 2012-06-04
ISBN : 1439806241
Language : En, Es, Fr & De

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Book Description :

Developed from the authors’ graduate-level biostatistics course, Applied Categorical and Count Data Analysis explains how to perform the statistical analysis of discrete data, including categorical and count outcomes. The authors describe the basic ideas underlying each concept, model, and approach to give readers a good grasp of the fundamentals of the methodology without using rigorous mathematical arguments. The text covers classic concepts and popular topics, such as contingency tables, logistic models, and Poisson regression models, along with modern areas that include models for zero-modified count outcomes, parametric and semiparametric longitudinal data analysis, reliability analysis, and methods for dealing with missing values. R, SAS, SPSS, and Stata programming codes are provided for all the examples, enabling readers to immediately experiment with the data in the examples and even adapt or extend the codes to fit data from their own studies. Designed for a one-semester course for graduate and senior undergraduate students in biostatistics, this self-contained text is also suitable as a self-learning guide for biomedical and psychosocial researchers. It will help readers analyze data with discrete variables in a wide range of biomedical and psychosocial research fields.

Statistical Data Analysis Based on the L1 Norm and Related Methods

Statistical Data Analysis Based on the L1 Norm and Related Methods Book
Author : Yadolah Dodge
Publisher : Birkhäuser
Release : 2012-12-06
ISBN : 3034882017
Language : En, Es, Fr & De

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Book Description :

This volume contains a selection of invited papers, presented to the fourth International Conference on Statistical Data Analysis Based on the L1-Norm and Related Methods, held in Neuchâtel, Switzerland, from August 4–9, 2002. The contributions represent clear evidence to the importance of the development of theory, methods and applications related to the statistical data analysis based on the L1-norm.

Analyzing Environmental Data

Analyzing Environmental Data Book
Author : Walter W. Piegorsch,A. John Bailer
Publisher : John Wiley & Sons
Release : 2005-06-10
ISBN : 0470012226
Language : En, Es, Fr & De

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Book Description :

Environmental statistics is a rapidly growing field, supported by advances in digital computing power, automated data collection systems, and interactive, linkable Internet software. Concerns over public and ecological health and the continuing need to support environmental policy-making and regulation have driven a concurrent explosion in environmental data analysis. This textbook is designed to address the need for trained professionals in this area. The book is based on a course which the authors have taught for many years, and prepares students for careers in environmental analysis centered on statistics and allied quantitative methods of data evaluation. The text extends beyond the introductory level, allowing students and environmental science practitioners to develop the expertise to design and perform sophisticated environmental data analyses. In particular, it: Provides a coherent introduction to intermediate and advanced methods for modeling and analyzing environmental data. Takes a data-oriented approach to describing the various methods. Illustrates the methods with real-world examples Features extensive exercises, enabling use as a course text. Includes examples of SAS computer code for implementation of the statistical methods. Connects to a Web site featuring solutions to exercises, extra computer code, and additional material. Serves as an overview of methods for analyzing environmental data, enabling use as a reference text for environmental science professionals. Graduate students of statistics studying environmental data analysis will find this invaluable as will practicing data analysts and environmental scientists including specialists in atmospheric science, biology and biomedicine, chemistry, ecology, environmental health, geography, and geology.

Cancer Clinical Trials

Cancer Clinical Trials Book
Author : Stephen L. George,Xiaofei Wang,Herbert Pang
Publisher : CRC Press
Release : 2016-08-03
ISBN : 1315354330
Language : En, Es, Fr & De

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Book Description :

Cancer Clinical Trials: Current and Controversial Issues in Design and Analysis provides statisticians with an understanding of the critical challenges currently encountered in oncology trials. Well-known statisticians from academic institutions, regulatory and government agencies (such as the U.S. FDA and National Cancer Institute), and the pharmaceutical industry share their extensive experiences in cancer clinical trials and present examples taken from actual trials. The book covers topics that are often perplexing and sometimes controversial in cancer clinical trials. Most of the issues addressed are also important for clinical trials in other settings. After discussing general topics, the book focuses on aspects of early and late phase clinical trials. It also explores personalized medicine, including biomarker-based clinical trials, adaptive clinical trial designs, and dynamic treatment regimes.

Bayesian Applications in Pharmaceutical Development

Bayesian Applications in Pharmaceutical Development Book
Author : Mani Lakshminarayanan,Fanni Natanegara
Publisher : CRC Press
Release : 2019-11-07
ISBN : 1351584170
Language : En, Es, Fr & De

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Book Description :

The cost for bringing new medicine from discovery to market has nearly doubled in the last decade and has now reached $2.6 billion. There is an urgent need to make drug development less time-consuming and less costly. Innovative trial designs/ analyses such as the Bayesian approach are essential to meet this need. This book will be the first to provide comprehensive coverage of Bayesian applications across the span of drug development, from discovery, to clinical trial, to manufacturing with practical examples. This book will have a wide appeal to statisticians, scientists, and physicians working in drug development who are motivated to accelerate and streamline the drug development process, as well as students who aspire to work in this field. The advantages of this book are: Provides motivating, worked, practical case examples with easy to grasp models, technical details, and computational codes to run the analyses Balances practical examples with best practices on trial simulation and reporting, as well as regulatory perspectives Chapters written by authors who are individual contributors in their respective topics Dr. Mani Lakshminarayanan is a researcher and statistical consultant with more than 30 years of experience in the pharmaceutical industry. He has published over 50 articles, technical reports, and book chapters besides serving as a referee for several journals. He has a PhD in Statistics from Southern Methodist University, Dallas, Texas and is a Fellow of the American Statistical Association. Dr. Fanni Natanegara has over 15 years of pharmaceutical experience and is currently Principal Research Scientist and Group Leader for the Early Phase Neuroscience Statistics team at Eli Lilly and Company. She played a key role in the Advanced Analytics team to provide Bayesian education and statistical consultation at Eli Lilly. Dr. Natanegara is the chair of the cross industry-regulatory-academic DIA BSWG to ensure that Bayesian methods are appropriately utilized for design and analysis throughout the drug-development process.

Ascaris The Neglected Parasite

Ascaris  The Neglected Parasite Book
Author : Martin Walker,Andrew Hall,María-Gloria Basáñez
Publisher : Elsevier Inc. Chapters
Release : 2013-05-09
ISBN : 0128061308
Language : En, Es, Fr & De

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Book Description :

In the context of the current unprecedented momentum and commitment to control neglected tropical diseases, and the increased advocacy of anthelmintic mass drug administration (MDA), there are renewed calls for research and development into the epidemiology and population biology of helmintic parasites to be embedded at the core of intervention strategies. This review of the epidemiology of Ascaris lumbricoides – one of the three neglected soil-transmitted helminth infections of greatest public health importance – includes discussion on diagnostic methods and their limitations; patterns of transmission within communities, including heterogeneities in infection and reinfection following curative treatment; the geographical distribution of infection, and the role of environmental, climatic and socio-economic co-variables. Special emphasis is placed on the mathematical approaches that underpin contemporary parasite epidemiology. In particular, statistical models – for analyzing highly variable, overdispersed, zero-inflated and hierarchically or spatially structured data – and dynamic models of infection and transmission. Deterministic, stochastic and hybrid dynamic models are discussed in the context of their application in elucidating the interplay between the parasite frequency distribution and density-dependent population processes; the dynamics of reinfection following curative treatment; the sustainability of parasite populations at low densities; theoretical threshold densities (transmission breakpoints) for elimination; and the potential spread of anthelmintic resistance. The review highlights the public health relevance of mathematical models and analytical methods, and concludes by focusing on recent insights into the epidemiology of A. lumbricoides which are particularly germane to the effective implementation of MDA-based control.

Safety and Security in Transit Environments

Safety and Security in Transit Environments Book
Author : Vania Ceccato,Andrew Newton
Publisher : Springer
Release : 2015-06-30
ISBN : 1137457651
Language : En, Es, Fr & De

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Book Description :

Safety and Security in Transit Environments presents interdisciplinary studies from leading international authors. This important volume identifies key challenges and complexities in addressing security and safety concerns in transit settings, policy recommendations for prevention, and new frontiers for research at transit settings. Chapter 9 of this book is open access under a CC BY license via link.springer.com.

Distributions for Modeling Location Scale and Shape

Distributions for Modeling Location  Scale  and Shape Book
Author : Robert A. Rigby,Mikis D. Stasinopoulos,Gillian Z. Heller,Fernanda De Bastiani
Publisher : CRC Press
Release : 2019-10-08
ISBN : 100069996X
Language : En, Es, Fr & De

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Book Description :

This is a book about statistical distributions, their properties, and their application to modelling the dependence of the location, scale, and shape of the distribution of a response variable on explanatory variables. It will be especially useful to applied statisticians and data scientists in a wide range of application areas, and also to those interested in the theoretical properties of distributions. This book follows the earlier book ‘Flexible Regression and Smoothing: Using GAMLSS in R’, [Stasinopoulos et al., 2017], which focused on the GAMLSS model and software. GAMLSS (the Generalized Additive Model for Location, Scale, and Shape, [Rigby and Stasinopoulos, 2005]), is a regression framework in which the response variable can have any parametric distribution and all the distribution parameters can be modelled as linear or smooth functions of explanatory variables. The current book focuses on distributions and their application. Key features: Describes over 100 distributions, (implemented in the GAMLSS packages in R), including continuous, discrete and mixed distributions. Comprehensive summary tables of the properties of the distributions. Discusses properties of distributions, including skewness, kurtosis, robustness and an important classification of tail heaviness. Includes mixed distributions which are continuous distributions with additional specific values with point probabilities. Includes many real data examples, with R code integrated in the text for ease of understanding and replication. Supplemented by the gamlss website. This book will be useful for applied statisticians and data scientists in selecting a distribution for a univariate response variable and modelling its dependence on explanatory variables, and to those interested in the properties of distributions.

Flexible Regression and Smoothing

Flexible Regression and Smoothing Book
Author : Mikis D. Stasinopoulos,Robert A. Rigby,Gillian Z. Heller,Vlasios Voudouris,Fernanda De Bastiani
Publisher : CRC Press
Release : 2017-04-21
ISBN : 1351980378
Language : En, Es, Fr & De

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Book Description :

This book is about learning from data using the Generalized Additive Models for Location, Scale and Shape (GAMLSS). GAMLSS extends the Generalized Linear Models (GLMs) and Generalized Additive Models (GAMs) to accommodate large complex datasets, which are increasingly prevalent. In particular, the GAMLSS statistical framework enables flexible regression and smoothing models to be fitted to the data. The GAMLSS model assumes that the response variable has any parametric (continuous, discrete or mixed) distribution which might be heavy- or light-tailed, and positively or negatively skewed. In addition, all the parameters of the distribution (location, scale, shape) can be modelled as linear or smooth functions of explanatory variables. Key Features: Provides a broad overview of flexible regression and smoothing techniques to learn from data whilst also focusing on the practical application of methodology using GAMLSS software in R. Includes a comprehensive collection of real data examples, which reflect the range of problems addressed by GAMLSS models and provide a practical illustration of the process of using flexible GAMLSS models for statistical learning. R code integrated into the text for ease of understanding and replication. Supplemented by a website with code, data and extra materials. This book aims to help readers understand how to learn from data encountered in many fields. It will be useful for practitioners and researchers who wish to understand and use the GAMLSS models to learn from data and also for students who wish to learn GAMLSS through practical examples.