Maximum Likelihood Estimation for Sample Surveys

In recent years, likelihood methods are increasingly being used to analyze survey data in various disciplines, including the medical, biological, environmental, and social sciences. This book presents an overview of likelihood methods for the analysis of survey data obtained using methods that may r...

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Main Authors Chambers, Raymond L., Steel, David G., Wang, Suojin, Welsh, Alan
Format eBook
LanguageEnglish
Published Milton Chapman and Hall/CRC 2012
CRC Press LLC
CRC Press
Edition1
SeriesMonographs on statistics and applied probability
Subjects
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Abstract In recent years, likelihood methods are increasingly being used to analyze survey data in various disciplines, including the medical, biological, environmental, and social sciences. This book presents an overview of likelihood methods for the analysis of survey data obtained using methods that may result in the sample differing from the population, providing all necessary background material on likelihood inference. The book provides coverage of a range of data types, including multilevel data. Illustrated by numerous worked examples using tractable models, it also addresses advanced topics such as combining data, non-response, and informative sampling.
AbstractList In recent years, likelihood methods are increasingly being used to analyze survey data in various disciplines, including the medical, biological, environmental, and social sciences. This book presents an overview of likelihood methods for the analysis of survey data obtained using methods that may result in the sample differing from the population, providing all necessary background material on likelihood inference. The book provides coverage of a range of data types, including multilevel data. Illustrated by numerous worked examples using tractable models, it also addresses advanced topics such as combining data, non-response, and informative sampling.
Sample surveys provide data used by researchers in a large range of disciplines to analyze important relationships using well-established and widely used likelihood methods. The methods used to select samples often result in the sample differing in important ways from the target population and standard application of likelihood methods can lead to biased and inefficient estimates. Maximum Likelihood Estimation for Sample Surveyspresents an overview of likelihood methods for the analysis of sample survey data that account for the selection methods used, and includes all necessary background material on likelihood inference. It covers a range of data types, including multilevel data, and is illustrated by many worked examples using tractable and widely used models. It also discusses more advanced topics, such as combining data, non-response, and informative sampling. The book presents and develops a likelihood approach for fitting models to sample survey data. It explores and explains how the approach works in tractable though widely used models for which we can make considerable analytic progress. For less tractable models numerical methods are ultimately needed to compute the score and information functions and to compute the maximum likelihood estimates of the model parameters. For these models, the book shows what has to be done conceptually to develop analyses to the point that numerical methods can be applied. Designed for statisticians who are interested in the general theory of statistics, Maximum Likelihood Estimation for Sample Surveysis also aimed at statisticians focused on fitting models to sample survey data, as well as researchers who study relationships among variables and whose sources of data include surveys.
Author Welsh, Alan
Wang, Suojin
Chambers, Raymond L.
Steel, David G.
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Keywords Size Biased Sampling
Cutoff Sampling
Maximum Pseudolikelihood
Score Function
Inclusion Probabilities
Sample Inclusion Probabilities
Maximum Likelihood
zTi
Approximate Maximum Likelihood Estimate
Maximum Pseudo-likelihood
Unit Nonresponse
Minimal Sufficient Statistic
Survey Variable
Maximum Pseudo-likelihood Estimate
Conditional Expectation
Missing Information Principle
PSUs
Item Nonresponse
Maximum Sample Likelihood
Finite Population Parameters
Sample Survey Data
CCS
Auxiliary Variable
Pseudolikelihood Estimate
Saddlepoint Approximation
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Snippet In recent years, likelihood methods are increasingly being used to analyze survey data in various disciplines, including the medical, biological,...
Sample surveys provide data used by researchers in a large range of disciplines to analyze important relationships using well-established and widely used...
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SubjectTerms Sampling (Statistics)
Statistical methods
Surveys
TableOfContents Front Cover -- Dedication -- Contents -- Preface -- 1. Introduction -- 2. Maximum likelihood theory for sample surveys -- 3. Alternative likelihood-based methods for sample survey data -- 4. Populations with independent units -- 5. Regression models -- 6. Clustered populations -- 7. Informative nonresponse -- 8. Maximum likelihood in other complicated situations -- Notation
Title Maximum Likelihood Estimation for Sample Surveys
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