Comparing Poisson, Hurdle, and ZIP Model Fit Under Varying Degrees of Skew and Zero-inflation

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Total Pages : pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Comparing Poisson, Hurdle, and ZIP Model Fit Under Varying Degrees of Skew and Zero-inflation by : Jeffrey Monroe Miller

Download or read book Comparing Poisson, Hurdle, and ZIP Model Fit Under Varying Degrees of Skew and Zero-inflation written by Jeffrey Monroe Miller and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: Many datasets are characterized as count data with a preponderance of zeros. Such data are often analyzed by ignoring the zero-inflation and assuming a Poisson distribution. The Hurdle model is more sophisticated in that it considers the zeros to be completely separate from the nonzeros. The zero-inflated Poisson (ZIP) model is similar to the Hurdle model; however, it permits some of the zeros to be analyzed along with the nonzeros. Both models, as well as the Poisson, have negative binomial formulations for use when the Poisson assumption of an equal mean and variance is violated. The choice between the models should be guided by the researcher's beliefs about the source of the zeros. Beyond this substantive concern, the choice should be based on the model providing the closest fit between the observed and predicted values. Unfortunately, the literature presents anomalous findings in terms of model superiority. Datasets with zero-inflation may vary in terms of the proportion of zeros. They may also vary in terms of the distribution for the nonzeros. Our study used a Monte Carlo design to sample 1,000 cases from positively skewed, normal, and negatively skewed distributions with proportions of zeros of .10, .25, .50, .75, and .90. The data were analyzed with each model over 2,000 simulations. The deviance statistic and Akaike's Information Criterion (AIC) value were used to compare the fit between models. Results suggest that the literature is not entirely anomalous; however, the accuracy of the findings depends on the proportion of zeros and the distribution for the nonzeros. Although the Hurdle model tends to be the superior model, there are situations when others, including the negative binomial Poisson model, are superior. The findings suggest that the researcher should consider the proportion of zeros and the distribution for the nonzeros when selecting a model to accommodate zero-inflated data.

Intelligent Transportation and Planning: Breakthroughs in Research and Practice

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Publisher : IGI Global
ISBN 13 : 1522552111
Total Pages : 1134 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Intelligent Transportation and Planning: Breakthroughs in Research and Practice by : Management Association, Information Resources

Download or read book Intelligent Transportation and Planning: Breakthroughs in Research and Practice written by Management Association, Information Resources and published by IGI Global. This book was released on 2018-02-02 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: From driverless cars to vehicular networks, recent technological advances are being employed to increase road safety and improve driver satisfaction. As with any newly developed technology, researchers must take care to address all concerns, limitations, and dangers before widespread public adoption. Intelligent Transportation and Planning: Breakthroughs in Research and Practice is an innovative reference source for the latest academic material on the applications, management, and planning of intelligent transportation systems. Highlighting a range of topics, such as automatic control, infrastructure systems, and system architecture, this publication is ideally designed for engineers, academics, professionals, and practitioners actively involved in the transportation planning sector.

Enriching Urban Spaces with Ambient Computing, the Internet of Things, and Smart City Design

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Publisher : IGI Global
ISBN 13 : 1522508287
Total Pages : 344 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Enriching Urban Spaces with Ambient Computing, the Internet of Things, and Smart City Design by : Konomi, Shin'ichi

Download or read book Enriching Urban Spaces with Ambient Computing, the Internet of Things, and Smart City Design written by Konomi, Shin'ichi and published by IGI Global. This book was released on 2016-10-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the presence of ubiquitous computing has increasingly integrated into the lives of people in modern society. As these technologies become more pervasive, new opportunities open for making citizens’ environments more comfortable, convenient, and efficient. Enriching Urban Spaces with Ambient Computing, the Internet of Things, and Smart City Design is a pivotal reference source for the latest scholarly material on the interaction between people and computing systems in contemporary society, showcasing how ubiquitous computing influences and shapes urban environments. Highlighting the impacts of these emerging technologies from an interdisciplinary perspective, this book is ideally designed for professionals, researchers, academicians, and practitioners interested in the influential state of pervasive computing within urban contexts.

Beyond Multiple Linear Regression

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Publisher : CRC Press
ISBN 13 : 1439885400
Total Pages : 436 pages
Book Rating : 4.4/5 (398 download)

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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)

Zero-inflated Generalized Poisson Models with Regression Effects on the Mean, Dispersion and Zero-inflation Level Applied to Patent Outsourcing Rates

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (836 download)

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Book Synopsis Zero-inflated Generalized Poisson Models with Regression Effects on the Mean, Dispersion and Zero-inflation Level Applied to Patent Outsourcing Rates by :

Download or read book Zero-inflated Generalized Poisson Models with Regression Effects on the Mean, Dispersion and Zero-inflation Level Applied to Patent Outsourcing Rates written by and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper focuses on an extension of zero-inflated generalized Poisson (ZIGP) regression models for count data. We discuss generalized Poisson (GP) models where dispersion is modelled by an additional model parameter. Moreover, zero-inflated models in which overdispersion is assumed to be caused by an excessive number of zeros are discussed. In addition to ZIGP regression introduced by Famoye and Singh (2003), we now allow for regression on the overdispersion and zero-inflation parameters. Consequently, we propose tools for an exploratory data analysis on the dispersion and zero-inflation level. An application dealing with outsourcing of patent filing processes will be used to compare these nonnested models. The model parameters are fitted by maximum likelihood. Asymptotic normality of the ML estimates in this non-exponential setting is proven. Standard errors are estimated using the asymptotic normality of the estimates. Appropriate exploratory data analysis tools are developed. Also, a model comparison using AIC statistics and Vuong tests (see Vuong (1989)) is carried out. For the given data, our extended ZIGP regression model will prove to be superior over GP and ZIP models and even ZIGP models with constant overall dispersion and zero-inflation parameters demonstrating the usefulness of our proposed extensions. -- maximum likelihood estimator ; overdispersion ; patent outsourcing ; Vuong test ; zero-inflated generalized Poisson regression ; zero-inflation

Dissertation Abstracts International

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ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2007 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Methods for Meta-Analysis

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Publisher : Academic Press
ISBN 13 : 0080570658
Total Pages : 392 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Statistical Methods for Meta-Analysis by : Larry V. Hedges

Download or read book Statistical Methods for Meta-Analysis written by Larry V. Hedges and published by Academic Press. This book was released on 2014-06-28 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to address the statistical issues for integrating independent studies. There exist a number of papers and books that discuss the mechanics of collecting, coding, and preparing data for a meta-analysis , and we do not deal with these. Because this book concerns methodology, the content necessarily is statistical, and at times mathematical. In order to make the material accessible to a wider audience, we have not provided proofs in the text. Where proofs are given, they are placed as commentary at the end of a chapter. These can be omitted at the discretion of the reader.Throughout the book we describe computational procedures whenever required. Many computations can be completed on a hand calculator, whereas some require the use of a standard statistical package such as SAS, SPSS, or BMD. Readers with experience using a statistical package or who conduct analyses such as multiple regression or analysis of variance should be able to carry out the analyses described with the aid of a statistical package.

A Zero-inflated Poisson Model with Correlated Parameters and Application to Animal Breeding

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ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Zero-inflated Poisson Model with Correlated Parameters and Application to Animal Breeding by : Mariana Rodrigues-Motta

Download or read book A Zero-inflated Poisson Model with Correlated Parameters and Application to Animal Breeding written by Mariana Rodrigues-Motta and published by . This book was released on 2007 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Count Data

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Publisher : Cambridge University Press
ISBN 13 : 1107028337
Total Pages : 301 pages
Book Rating : 4.1/5 (7 download)

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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.

Foundations of Linear and Generalized Linear Models

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Publisher : John Wiley & Sons
ISBN 13 : 1118730038
Total Pages : 471 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Foundations of Linear and Generalized Linear Models by : Alan Agresti

Download or read book Foundations of Linear and Generalized Linear Models written by Alan Agresti and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable overview of the most important ideas and results in statistical modeling Written by a highly-experienced author, Foundations of Linear and Generalized Linear Models is a clear and comprehensive guide to the key concepts and results of linearstatistical models. The book presents a broad, in-depth overview of the most commonly usedstatistical models by discussing the theory underlying the models, R software applications,and examples with crafted models to elucidate key ideas and promote practical modelbuilding. The book begins by illustrating the fundamentals of linear models, such as how the model-fitting projects the data onto a model vector subspace and how orthogonal decompositions of the data yield information about the effects of explanatory variables. Subsequently, the book covers the most popular generalized linear models, which include binomial and multinomial logistic regression for categorical data, and Poisson and negative binomial loglinear models for count data. Focusing on the theoretical underpinnings of these models, Foundations ofLinear and Generalized Linear Models also features: An introduction to quasi-likelihood methods that require weaker distributional assumptions, such as generalized estimating equation methods An overview of linear mixed models and generalized linear mixed models with random effects for clustered correlated data, Bayesian modeling, and extensions to handle problematic cases such as high dimensional problems Numerous examples that use R software for all text data analyses More than 400 exercises for readers to practice and extend the theory, methods, and data analysis A supplementary website with datasets for the examples and exercises An invaluable textbook for upper-undergraduate and graduate-level students in statistics and biostatistics courses, Foundations of Linear and Generalized Linear Models is also an excellent reference for practicing statisticians and biostatisticians, as well as anyone who is interested in learning about the most important statistical models for analyzing data.

Distributions for Modeling Location, Scale, and Shape

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Publisher : CRC Press
ISBN 13 : 100069996X
Total Pages : 589 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Distributions for Modeling Location, Scale, and Shape by : Robert A. Rigby

Download or read book Distributions for Modeling Location, Scale, and Shape written by Robert A. Rigby and published by CRC Press. This book was released on 2019-10-08 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Statistics with R

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Publisher :
ISBN 13 : 9781032497457
Total Pages : 0 pages
Book Rating : 4.4/5 (974 download)

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Book Synopsis Modern Statistics with R by : MANS. THULIN

Download or read book Modern Statistics with R written by MANS. THULIN and published by . This book was released on 2024-08-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decades have transformed the world of statistical data analysis, with new methods, new types of data, and new computational tools. Modern Statistics with R introduces you to key parts of this modern statistical toolkit. It teaches you: Data wrangling - importing, formatting, reshaping, merging, and filtering data in R. Exploratory data analysis - using visualisations and multivariate techniques to explore datasets. Statistical inference - modern methods for testing hypotheses and computing confidence intervals. Predictive modelling - regression models and machine learning methods for prediction, classification, and forecasting. Simulation - using simulation techniques for sample size computations and evaluations of statistical methods. Ethics in statistics - ethical issues and good statistical practice. R programming - writing code that is fast, readable, and (hopefully!) free from bugs. No prior programming experience is necessary. Clear explanations and examples are provided to accommodate readers at all levels of familiarity with statistical principles and coding practices. A basic understanding of probability theory can enhance comprehension of certain concepts discussed within this book. In addition to plenty of examples, the book includes more than 200 exercises, with fully worked solutions available at www.modernstatisticswithr.com.

A Handbook of Statistical Graphics Using SAS ODS

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Publisher : CRC Press
ISBN 13 : 1466599030
Total Pages : 250 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis A Handbook of Statistical Graphics Using SAS ODS by : Geoff Der

Download or read book A Handbook of Statistical Graphics Using SAS ODS written by Geoff Der and published by CRC Press. This book was released on 2014-08-15 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easily Use SAS to Produce Your Graphics Diagrams, plots, and other types of graphics are indispensable components in nearly all phases of statistical analysis, from the initial assessment of the data to the selection of appropriate statistical models to the diagnosis of the chosen models once they have been fitted to the data. Harnessing the full graphics capabilities of SAS, A Handbook of Statistical Graphics Using SAS ODS covers essential graphical methods needed in every statistician’s toolkit. It explains how to implement the methods using SAS 9.4. The handbook shows how to use SAS to create many types of statistical graphics for exploring data and diagnosing fitted models. It uses SAS’s newer ODS graphics throughout as this system offers a number of advantages, including ease of use, high quality of results, consistent appearance, and convenient semiautomatic graphs from the statistical procedures. Each chapter deals graphically with several sets of example data from a wide variety of areas, such as epidemiology, medicine, and psychology. These examples illustrate the use of graphic displays to give an overview of data, to suggest possible hypotheses for testing new data, and to interpret fitted statistical models. The SAS programs and data sets are available online.

Growth Modeling

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Publisher : Guilford Publications
ISBN 13 : 1462526063
Total Pages : 558 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Growth Modeling by : Kevin J. Grimm

Download or read book Growth Modeling written by Kevin J. Grimm and published by Guilford Publications. This book was released on 2016-10-17 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growth models are among the core methods for analyzing how and when people change. Discussing both structural equation and multilevel modeling approaches, this book leads readers step by step through applying each model to longitudinal data to answer particular research questions. It demonstrates cutting-edge ways to describe linear and nonlinear change patterns, examine within-person and between-person differences in change, study change in latent variables, identify leading and lagging indicators of change, evaluate co-occurring patterns of change across multiple variables, and more. User-friendly features include real data examples, code (for Mplus or NLMIXED in SAS, and OpenMx or nlme in R), discussion of the output, and interpretation of each model's results. User-Friendly Features *Real, worked-through longitudinal data examples serving as illustrations in each chapter. *Script boxes that provide code for fitting the models to example data and facilitate application to the reader's own data. *"Important Considerations" sections offering caveats, warnings, and recommendations for the use of specific models. *Companion website supplying datasets and syntax for the book's examples, along with additional code in SAS/R for linear mixed-effects modeling.

Practical Spreadsheet Modeling Using @Risk

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Publisher : CRC Press
ISBN 13 : 0429509324
Total Pages : 572 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Practical Spreadsheet Modeling Using @Risk by : Dale Lehman

Download or read book Practical Spreadsheet Modeling Using @Risk written by Dale Lehman and published by CRC Press. This book was released on 2019-11-11 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Spreadsheet Modeling Using @Risk provides a guide of how to construct applied decision analysis models in spreadsheets. The focus is on the use of Monte Carlo simulation to provide quantitative assessment of uncertainties and key risk drivers. The book presents numerous examples based on real data and relevant practical decisions in a variety of settings, including health care, transportation, finance, natural resources, technology, manufacturing, retail, and sports and entertainment. All examples involve decision problems where uncertainties make simulation modeling useful to obtain decision insights and explore alternative choices. Good spreadsheet modeling practices are highlighted. The book is suitable for graduate students or advanced undergraduates in business, public policy, health care administration, or any field amenable to simulation modeling of decision problems. The book is also useful for applied practitioners seeking to build or enhance their spreadsheet modeling skills. Features Step-by-step examples of spreadsheet modeling and risk analysis in a variety of fields Description of probabilistic methods, their theoretical foundations, and their practical application in a spreadsheet environment Extensive example models and exercises based on real data and relevant decision problems Comprehensive use of the @Risk software for simulation analysis, including a free one-year educational software license

Effective Statistical Learning Methods for Actuaries I

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Publisher : Springer Nature
ISBN 13 : 3030258203
Total Pages : 441 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Effective Statistical Learning Methods for Actuaries I by : Michel Denuit

Download or read book Effective Statistical Learning Methods for Actuaries I written by Michel Denuit and published by Springer Nature. This book was released on 2019-09-03 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the state of the art in generalized linear models (GLMs) and their various extensions: GAMs, mixed models and credibility, and some nonlinear variants (GNMs). In order to deal with tail events, analytical tools from Extreme Value Theory are presented. Going beyond mean modeling, it considers volatility modeling (double GLMs) and the general modeling of location, scale and shape parameters (GAMLSS). Actuaries need these advanced analytical tools to turn the massive data sets now at their disposal into opportunities. The exposition alternates between methodological aspects and case studies, providing numerical illustrations using the R statistical software. The technical prerequisites are kept at a reasonable level in order to reach a broad readership. This is the first of three volumes entitled Effective Statistical Learning Methods for Actuaries. Written by actuaries for actuaries, this series offers a comprehensive overview of insurance data analytics with applications to P&C, life and health insurance. Although closely related to the other two volumes, this volume can be read independently.

RNA-Seq Analysis: Methods, Applications and Challenges

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Publisher : Frontiers Media SA
ISBN 13 : 2889637050
Total Pages : 169 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis RNA-Seq Analysis: Methods, Applications and Challenges by : Filippo Geraci

Download or read book RNA-Seq Analysis: Methods, Applications and Challenges written by Filippo Geraci and published by Frontiers Media SA. This book was released on 2020-06-08 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: