Mixed Effects Models And Small Area Estimation

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Mixed-Effects Models and Small Area Estimation

Author : Shonosuke Sugasawa
Publisher : Springer Nature
ISBN 13 : 9811994862
Total Pages : 127 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Mixed-Effects Models and Small Area Estimation by : Shonosuke Sugasawa

Download or read book Mixed-Effects Models and Small Area Estimation written by Shonosuke Sugasawa and published by Springer Nature. This book was released on 2023-02-02 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction of mixed-effects models and small area estimation techniques. In particular, it focuses on both introducing classical theory and reviewing the latest methods. First, basic issues of mixed-effects models, such as parameter estimation, random effects prediction, variable selection, and asymptotic theory, are introduced. Standard mixed-effects models used in small area estimation, known as the Fay-Herriot model and the nested error regression model, are then introduced. Both frequentist and Bayesian approaches are given to compute predictors of small area parameters of interest. For measuring uncertainty of the predictors, several methods to calculate mean squared errors and confidence intervals are discussed. Various advanced approaches using mixed-effects models are introduced, from frequentist to Bayesian approaches. This book is helpful for researchers and graduate students in fields requiring data analysis skills as well as in mathematical statistics.

A Course on Small Area Estimation and Mixed Models

Author : Domingo Morales
Publisher : Springer Nature
ISBN 13 : 3030637573
Total Pages : 606 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis A Course on Small Area Estimation and Mixed Models by : Domingo Morales

Download or read book A Course on Small Area Estimation and Mixed Models written by Domingo Morales and published by Springer Nature. This book was released on 2021-03-12 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook explores small area estimation techniques, covers the underlying mathematical and statistical theory and offers hands-on support with their implementation. It presents the theory in a rigorous way and compares and contrasts various statistical methodologies, helping readers understand how to develop new methodologies for small area estimation. It also includes numerous sample applications of small area estimation techniques. The underlying R code is provided in the text and applied to four datasets that mimic data from labor markets and living conditions surveys, where the socioeconomic indicators include the small area estimation of total unemployment, unemployment rates, average annual household incomes and poverty indicators. Given its scope, the book will be useful for master and PhD students, and for official and other applied statisticians.

Introduction to Small Area Estimation Techniques

Author : Asian Development Bank
Publisher : Asian Development Bank
ISBN 13 : 9292622234
Total Pages : 152 pages
Book Rating : 4.2/5 (926 download)

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Book Synopsis Introduction to Small Area Estimation Techniques by : Asian Development Bank

Download or read book Introduction to Small Area Estimation Techniques written by Asian Development Bank and published by Asian Development Bank. This book was released on 2020-05-01 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide to small area estimation aims to help users compile more reliable granular or disaggregated data in cost-effective ways. It explains small area estimation techniques with examples of how the easily accessible R analytical platform can be used to implement them, particularly to estimate indicators on poverty, employment, and health outcomes. The guide is intended for staff of national statistics offices and for other development practitioners. It aims to help them to develop and implement targeted socioeconomic policies to ensure that the vulnerable segments of societies are not left behind, and to monitor progress toward the Sustainable Development Goals.

Small Area Estimation

Author : J. N. K. Rao
Publisher : John Wiley & Sons
ISBN 13 : 0471431621
Total Pages : 340 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Small Area Estimation by : J. N. K. Rao

Download or read book Small Area Estimation written by J. N. K. Rao and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to indirect estimation methods, both traditional and model-based. Readers will also find the latest methods for measuring the variability of the estimates as well as the techniques for model validation. Uses a basic area-level linear model to illustrate the methods Presents the various extensions including binary response data through generalized linear models and time series data through linear models that combine cross-sectional and time series features Provides recent applications of SAE including several in U.S. Federal programs Offers a comprehensive discussion of the design issues that impact SAE

Small Area Estimation

Author : J. N. K. Rao
Publisher : John Wiley & Sons
ISBN 13 : 1118735781
Total Pages : 480 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Small Area Estimation by : J. N. K. Rao

Download or read book Small Area Estimation written by J. N. K. Rao and published by John Wiley & Sons. This book was released on 2015-08-24 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "This pioneering work, in which Rao provides a comprehensive and up-to-date treatment of small area estimation, will become a classic...I believe that it has the potential to turn small area estimation...into a larger area of importance to both researchers and practitioners." —Journal of the American Statistical Association Written by two experts in the field, Small Area Estimation, Second Edition provides a comprehensive and up-to-date account of the methods and theory of small area estimation (SAE), particularly indirect estimation based on explicit small area linking models. The model-based approach to small area estimation offers several advantages including increased precision, the derivation of "optimal" estimates and associated measures of variability under an assumed model, and the validation of models from the sample data. Emphasizing real data throughout, the Second Edition maintains a self-contained account of crucial theoretical and methodological developments in the field of SAE. The new edition provides extensive accounts of new and updated research, which often involves complex theory to handle model misspecifications and other complexities. Including information on survey design issues and traditional methods employing indirect estimates based on implicit linking models, Small Area Estimation, Second Edition also features: Additional sections describing the use of R code data sets for readers to use when replicating applications Numerous examples of SAE applications throughout each chapter, including recent applications in U.S. Federal programs New topical coverage on extended design issues, synthetic estimation, further refinements and solutions to the Fay-Herriot area level model, basic unit level models, and spatial and time series models A discussion of the advantages and limitations of various SAE methods for model selection from data as well as comparisons of estimates derived from models to reliable values obtained from external sources, such as previous census or administrative data Small Area Estimation, Second Edition is an excellent reference for practicing statisticians and survey methodologists as well as practitioners interested in learning SAE methods. The Second Edition is also an ideal textbook for graduate-level courses in SAE and reliable small area statistics.

Asymptotic Analysis of Mixed Effects Models

Author : Jiming Jiang
Publisher : CRC Press
ISBN 13 : 1498700462
Total Pages : 252 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Asymptotic Analysis of Mixed Effects Models by : Jiming Jiang

Download or read book Asymptotic Analysis of Mixed Effects Models written by Jiming Jiang and published by CRC Press. This book was released on 2017-09-19 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large sample techniques are fundamental to all fields of statistics. Mixed effects models, including linear mixed models, generalized linear mixed models, non-linear mixed effects models, and non-parametric mixed effects models are complex models, yet, these models are extensively used in practice. This monograph provides a comprehensive account of asymptotic analysis of mixed effects models. The monograph is suitable for researchers and graduate students who wish to learn about asymptotic tools and research problems in mixed effects models. It may also be used as a reference book for a graduate-level course on mixed effects models, or asymptotic analysis.

Robust Prediction from Linear Mixed-effects Models with Applications to Small Area Estimation

Author : Bogong Li
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (62 download)

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Book Synopsis Robust Prediction from Linear Mixed-effects Models with Applications to Small Area Estimation by : Bogong Li

Download or read book Robust Prediction from Linear Mixed-effects Models with Applications to Small Area Estimation written by Bogong Li and published by . This book was released on 2001 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear and Generalized Linear Mixed Models and Their Applications

Author : Jiming Jiang
Publisher : Springer Science & Business Media
ISBN 13 : 0387479465
Total Pages : 269 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Linear and Generalized Linear Mixed Models and Their Applications by : Jiming Jiang

Download or read book Linear and Generalized Linear Mixed Models and Their Applications written by Jiming Jiang and published by Springer Science & Business Media. This book was released on 2007-05-30 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers two major classes of mixed effects models, linear mixed models and generalized linear mixed models. It presents an up-to-date account of theory and methods in analysis of these models as well as their applications in various fields. The book offers a systematic approach to inference about non-Gaussian linear mixed models. Furthermore, it includes recently developed methods, such as mixed model diagnostics, mixed model selection, and jackknife method in the context of mixed models. The book is aimed at students, researchers and other practitioners who are interested in using mixed models for statistical data analysis.

Statistical Models in Epidemiology, the Environment, and Clinical Trials

Author : M.Elizabeth Halloran
Publisher : Springer Science & Business Media
ISBN 13 : 9780387989242
Total Pages : 300 pages
Book Rating : 4.9/5 (892 download)

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Book Synopsis Statistical Models in Epidemiology, the Environment, and Clinical Trials by : M.Elizabeth Halloran

Download or read book Statistical Models in Epidemiology, the Environment, and Clinical Trials written by M.Elizabeth Halloran and published by Springer Science & Business Media. This book was released on 1999-10-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications STATISTICAL MODELS IN EPIDEMIOLOGY, THE ENVIRONMENT,AND CLINICAL TRIALS is a combined proceedings on "Design and Analysis of Clinical Trials" and "Statistics and Epidemiology: Environment and Health. " This volume is the third series based on the proceedings of a very successful 1997 IMA Summer Program on "Statistics in the Health Sciences. " I would like to thank the organizers: M. Elizabeth Halloran of Emory University (Biostatistics) and Donald A. Berry of Duke University (Insti tute of Statistics and Decision Sciences and Cancer Center Biostatistics) for their excellent work as organizers of the meeting and for editing the proceedings. I am grateful to Seymour Geisser of University of Minnesota (Statistics), Patricia Grambsch, University of Minnesota (Biostatistics); Joel Greenhouse, Carnegie Mellon University (Statistics); Nicholas Lange, Harvard Medical School (Brain Imaging Center, McLean Hospital); Barry Margolin, University of North Carolina-Chapel Hill (Biostatistics); Sandy Weisberg, University of Minnesota (Statistics); Scott Zeger, Johns Hop kins University (Biostatistics); and Marvin Zelen, Harvard School of Public Health (Biostatistics) for organizing the six weeks summer program. I also take this opportunity to thank the National Science Foundation (NSF) and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr.

Asymptotic Analysis of Mixed Effects Models

Author : Jiming Jiang
Publisher : CRC Press
ISBN 13 : 1351645595
Total Pages : 235 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Asymptotic Analysis of Mixed Effects Models by : Jiming Jiang

Download or read book Asymptotic Analysis of Mixed Effects Models written by Jiming Jiang and published by CRC Press. This book was released on 2017-09-19 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large sample techniques are fundamental to all fields of statistics. Mixed effects models, including linear mixed models, generalized linear mixed models, non-linear mixed effects models, and non-parametric mixed effects models are complex models, yet, these models are extensively used in practice. This monograph provides a comprehensive account of asymptotic analysis of mixed effects models. The monograph is suitable for researchers and graduate students who wish to learn about asymptotic tools and research problems in mixed effects models. It may also be used as a reference book for a graduate-level course on mixed effects models, or asymptotic analysis.

Statistical Modelling

Author : Gilg U.H. Seeber
Publisher : Springer Science & Business Media
ISBN 13 : 1461207894
Total Pages : 328 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Statistical Modelling by : Gilg U.H. Seeber

Download or read book Statistical Modelling written by Gilg U.H. Seeber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the published proceedings of the lOth International Workshop on Statistical Modelling, to be held in Innsbruck, Austria from 10 to 14 July, 1995. This workshop marks an important anniversary. The inaugural workshop in this series also took place in Innsbruck in 1986, and brought together a small but enthusiastic group of thirty European statisticians interested in statistical modelling. The workshop arose out of two G LIM conferences in the U. K. in London (1982) and Lancaster (1985), and from a num ber of short courses organised by Murray Aitkin and held at Lancaster in the early 1980s, which attracted many European statisticians interested in Generalised Linear Modelling. The inaugural workshop in Innsbruck con centrated on GLMs and was characterised by a number of features - a friendly and supportive academic atmosphere, tutorial sessions and invited speakers presenting new developments in statistical modelling, and a very well organised social programme. The academic programme allowed plenty of time for presentation and for discussion, and made available copies of all papers beforehand. Over the intervening years, the workshop has grown substantially, and now regularly attracts over 150 participants. The scope of the workshop is now much broader, reflecting the growth in the subject of statistical modelling over ten years. The elements ofthe first workshop, however, are still present, and participants always find the meetings relevant and stimulating.

Mixed Effects Models for Complex Data

Author : Lang Wu
Publisher : CRC Press
ISBN 13 : 9781420074086
Total Pages : 431 pages
Book Rating : 4.0/5 (74 download)

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Book Synopsis Mixed Effects Models for Complex Data by : Lang Wu

Download or read book Mixed Effects Models for Complex Data written by Lang Wu and published by CRC Press. This book was released on 2009-11-11 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although standard mixed effects models are useful in a range of studies, other approaches must often be used in correlation with them when studying complex or incomplete data. Mixed Effects Models for Complex Data discusses commonly used mixed effects models and presents appropriate approaches to address dropouts, missing data, measurement errors, censoring, and outliers. For each class of mixed effects model, the author reviews the corresponding class of regression model for cross-sectional data. An overview of general models and methods, along with motivating examples After presenting real data examples and outlining general approaches to the analysis of longitudinal/clustered data and incomplete data, the book introduces linear mixed effects (LME) models, generalized linear mixed models (GLMMs), nonlinear mixed effects (NLME) models, and semiparametric and nonparametric mixed effects models. It also includes general approaches for the analysis of complex data with missing values, measurement errors, censoring, and outliers. Self-contained coverage of specific topics Subsequent chapters delve more deeply into missing data problems, covariate measurement errors, and censored responses in mixed effects models. Focusing on incomplete data, the book also covers survival and frailty models, joint models of survival and longitudinal data, robust methods for mixed effects models, marginal generalized estimating equation (GEE) models for longitudinal or clustered data, and Bayesian methods for mixed effects models. Background material In the appendix, the author provides background information, such as likelihood theory, the Gibbs sampler, rejection and importance sampling methods, numerical integration methods, optimization methods, bootstrap, and matrix algebra. Failure to properly address missing data, measurement errors, and other issues in statistical analyses can lead to severely biased or misleading results. This book explores the biases that arise when naïve methods are used and shows which approaches should be used to achieve accurate results in longitudinal data analysis.

Analysis of Poverty Data by Small Area Estimation

Author : Monica Pratesi
Publisher : John Wiley & Sons
ISBN 13 : 1118815017
Total Pages : 485 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Analysis of Poverty Data by Small Area Estimation by : Monica Pratesi

Download or read book Analysis of Poverty Data by Small Area Estimation written by Monica Pratesi and published by John Wiley & Sons. This book was released on 2016-02-23 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to implementing SAE methods for poverty studies and poverty mapping There is an increasingly urgent demand for poverty and living conditions data, in relation to local areas and/or subpopulations. Policy makers and stakeholders need indicators and maps of poverty and living conditions in order to formulate and implement policies, (re)distribute resources, and measure the effect of local policy actions. Small Area Estimation (SAE) plays a crucial role in producing statistically sound estimates for poverty mapping. This book offers a comprehensive source of information regarding the use of SAE methods adapted to these distinctive features of poverty data derived from surveys and administrative archives. The book covers the definition of poverty indicators, data collection and integration methods, the impact of sampling design, weighting and variance estimation, the issue of SAE modelling and robustness, the spatio-temporal modelling of poverty, and the SAE of the distribution function of income and inequalities. Examples of data analyses and applications are provided, and the book is supported by a website describing scripts written in SAS or R software, which accompany the majority of the presented methods. Key features: Presents a comprehensive review of SAE methods for poverty mapping Demonstrates the applications of SAE methods using real-life case studies Offers guidance on the use of routines and choice of websites from which to download them Analysis of Poverty Data by Small Area Estimation offers an introduction to advanced techniques from both a practical and a methodological perspective, and will prove an invaluable resource for researchers actively engaged in organizing, managing and conducting studies on poverty.

Small Area Estimation

Author : J. N. K. Rao
Publisher : John Wiley & Sons
ISBN 13 : 111873579X
Total Pages : 476 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Small Area Estimation by : J. N. K. Rao

Download or read book Small Area Estimation written by J. N. K. Rao and published by John Wiley & Sons. This book was released on 2015-08-10 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "This pioneering work, in which Rao provides a comprehensive and up-to-date treatment of small area estimation, will become a classic...I believe that it has the potential to turn small area estimation...into a larger area of importance to both researchers and practitioners." —Journal of the American Statistical Association Written by two experts in the field, Small Area Estimation, Second Edition provides a comprehensive and up-to-date account of the methods and theory of small area estimation (SAE), particularly indirect estimation based on explicit small area linking models. The model-based approach to small area estimation offers several advantages including increased precision, the derivation of "optimal" estimates and associated measures of variability under an assumed model, and the validation of models from the sample data. Emphasizing real data throughout, the Second Edition maintains a self-contained account of crucial theoretical and methodological developments in the field of SAE. The new edition provides extensive accounts of new and updated research, which often involves complex theory to handle model misspecifications and other complexities. Including information on survey design issues and traditional methods employing indirect estimates based on implicit linking models, Small Area Estimation, Second Edition also features: Additional sections describing the use of R code data sets for readers to use when replicating applications Numerous examples of SAE applications throughout each chapter, including recent applications in U.S. Federal programs New topical coverage on extended design issues, synthetic estimation, further refinements and solutions to the Fay-Herriot area level model, basic unit level models, and spatial and time series models A discussion of the advantages and limitations of various SAE methods for model selection from data as well as comparisons of estimates derived from models to reliable values obtained from external sources, such as previous census or administrative data Small Area Estimation, Second Edition is an excellent reference for practicing statisticians and survey methodologists as well as practitioners interested in learning SAE methods. The Second Edition is also an ideal textbook for graduate-level courses in SAE and reliable small area statistics.

Small Area Estimation with Linear Mixed Models from Unit-level Panel and Rotating Panel Data

Author : Kari Nissinen
Publisher :
ISBN 13 : 9789513933630
Total Pages : 230 pages
Book Rating : 4.9/5 (336 download)

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Book Synopsis Small Area Estimation with Linear Mixed Models from Unit-level Panel and Rotating Panel Data by : Kari Nissinen

Download or read book Small Area Estimation with Linear Mixed Models from Unit-level Panel and Rotating Panel Data written by Kari Nissinen and published by . This book was released on 2009 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spatial Microsimulation: A Reference Guide for Users

Author : Robert Tanton
Publisher : Springer Science & Business Media
ISBN 13 : 9400746237
Total Pages : 272 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Spatial Microsimulation: A Reference Guide for Users by : Robert Tanton

Download or read book Spatial Microsimulation: A Reference Guide for Users written by Robert Tanton and published by Springer Science & Business Media. This book was released on 2012-11-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a practical guide on how to design, create and validate a spatial microsimulation model. These models are becoming more popular as academics and policy makers recognise the value of place in research and policy making. Recent spatial microsimulation models have been used to analyse health and social disadvantage for small areas; and to look at the effect of policy change for small areas. This provides a powerful analysis tool for researchers and policy makers. This book covers preparing the data for spatial microsimulation; a number of methods for both static and dynamic spatial microsimulation models; validation of the models to ensure the outputs are reasonable; and the future of spatial microsimulation. The book will be an essential handbook for any researcher or policy maker looking to design and create a spatial microsimulation model. This book will also be useful to those policy makers who are commissioning a spatial microsimulation model, or looking to commission work using a spatial microsimulation model, as it provides information on the different methods in a non-technical way.

Small Area Estimation in Survey Sampling

Author : Parimal Mukhopadhyay
Publisher : Alpha Science International, Limited
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Small Area Estimation in Survey Sampling by : Parimal Mukhopadhyay

Download or read book Small Area Estimation in Survey Sampling written by Parimal Mukhopadhyay and published by Alpha Science International, Limited. This book was released on 1998 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic exposition of the problems and procedures in producing statistics for small areas (districts, subdivisions, municipal areas; batches of industrial products) which have been lying scattered over different journals over the last three decades. The motivations of the different procedures have been explained, the promising results have been emphasized and the new research areas are indicated. The manner of exposition has been tried to be made lucid. The book will generate further interest in the area and would be helpful to the researchers and the survey statisticians working in this field.