Synopsis
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
"synopsis" may belong to another edition of this title.
Review
"...impressive and elegantly written...maintains a high level of mathematical rigour and depth...lucid, self–contained and well–organized..." ( Zentralblatt Math, Vol. 1026, 2004)
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, March 2004)
"The book is a systematic and economical account of the development of the subject by one of its foremost contributors. (Short Book Reviews, 2003)
"This book will help to advance the subject and be a valuable resource for practitioners and theorists. (Statistics in Transition, November 2003)
"This book is essential to any basic library on small estimation. Both theoretical researchers and practitioners in this subject will certainly appreciate the themes treated in Rao′s book. (Journal of Official Statistics, 2003)
"...a textbook on small area estimation, probably the only one presently available on this topic...easy to read and each chapter is illustrated by practical examples." (Mathematical Reviews, 2003j)
...an authoritative and comprehensive account of methods for producing small area estimates by using not conventional direct estimates, but indirect, model–dependent estimates... (Quarterly of Applied Mathematics, Vol. LXI, No. 3, September 2003)
"...impressive and elegantly written...maintains a high level of mathematical rigour and depth...lucid, self–contained and well–organized..." ( Zentralblatt Math, Vol. 1026, 2004)
This pioneering work, in which Rao provides a comprehensive and up–to–date treatment of small area estimation, will become a classic... (Journal of the American Statistical Association, March 2004)
"The book is a systematic and economical account of the development of the subject by one of its foremost contributors. (Short Book Reviews, 2003)
"This book will help to advance the subject and be a valuable resource for practitioners and theorists. (Statistics in Transition, November 2003)
"This book is essential to any basic library on small estimation. Both theoretical researchers and practitioners in this subject will certainly appreciate the themes treated in Rao′s book. (Journal of Official Statistics, 2003)
"...a textbook on small area estimation, probably the only one presently available on this topic...easy to read and each chapter is illustrated by practical examples." (Mathematical Reviews, 2003j)
...an authoritative and comprehensive account of methods for producing small area estimates by using not conventional direct estimates, but indirect, model–dependent estimates... (Quarterly of Applied Mathematics, Vol. LXI, No. 3, September 2003)
From the Back Cover
A much–needed guide to reliable small area statistics
The term "small area" denotes any subpopulation for which direct estimates of adequate precision cannot be produced. In recent years, the demand for reliable small area estimates has greatly increased worldwide due to, among other things, their growing use in formulating policies and programs and the allocation of government funds; regional planning; small business decisions; and similar applications.
Small Area Estimation provides a comprehensive account of the methods and theory of small area estimation, 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.
The clear, detailed coverage includes:
- Basic terminology related to small area estimation
- Survey design issues and traditional methods employing indirect estimates based on implicit linking models
- Linear mixed models and generalized linear mixed models
- Empirical Best Linear Unbiased Prediction (EBLUP), Empirical Bayes (EB) and Hierarchical Bayes (HB) Estimation
- Model diagnostics
- Various extensions including binary response and count data through generalized linear mixed models and time series data through linear mixed models that combine cross–sectional and time series features
- Important applications of SAE including several in U.S. federal programs
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