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Author: H. O. Hartley
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
A new estimation theory for sample surveys is proposed. The basic feature of the theory is a special parametrization of finite populations based on the assumption that a character attached to the units is measured on a known scale with a finite set of scale points. In the class of estimators which do not functionally depend on the 'identification labels' preattached to the units, the following results are proved: (1) For simple or stratified simple random sampling without replacement, the customary estimators are unbiased minimum variance. (2) For simple random sampling with replacement, the sample mean based only on the distinct units in the sample is the maximum likelihood estimator of the population mean. (3) If a concomitant variable with known population mean is also observed, an approximation to the maximum likelihood estimator of the population mean is closely related to the customary regression estimator. (4) If prior information in the form a prior distribution is available, 'Bayes estimators' can be derived using the complete likelihood. (Author).
Author: H. O. Hartley
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
A new estimation theory for sample surveys is proposed. The basic feature of the theory is a special parametrization of finite populations based on the assumption that a character attached to the units is measured on a known scale with a finite set of scale points. In the class of estimators which do not functionally depend on the 'identification labels' preattached to the units, the following results are proved: (1) For simple or stratified simple random sampling without replacement, the customary estimators are unbiased minimum variance. (2) For simple random sampling with replacement, the sample mean based only on the distinct units in the sample is the maximum likelihood estimator of the population mean. (3) If a concomitant variable with known population mean is also observed, an approximation to the maximum likelihood estimator of the population mean is closely related to the customary regression estimator. (4) If prior information in the form a prior distribution is available, 'Bayes estimators' can be derived using the complete likelihood. (Author).
Author: Yves Tille
Publisher: John Wiley & Sons
ISBN: 0470682051
Category : Mathematics
Languages : en
Pages : 447
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Book Description
A much-needed reference on survey sampling and its applications that presents the latest advances in the field Seeking to show that sampling theory is a living discipline with a very broad scope, this book examines the modern development of the theory of survey sampling and the foundations of survey sampling. It offers readers a critical approach to the subject and discusses putting theory into practice. It also explores the treatment of non-sampling errors featuring a range of topics from the problems of coverage to the treatment of non-response. In addition, the book includes real examples, applications, and a large set of exercises with solutions. Sampling and Estimation from Finite Populations begins with a look at the history of survey sampling. It then offers chapters on: population, sample, and estimation; simple and systematic designs; stratification; sampling with unequal probabilities; balanced sampling; cluster and two-stage sampling; and other topics on sampling, such as spatial sampling, coordination in repeated surveys, and multiple survey frames. The book also includes sections on: post-stratification and calibration on marginal totals; calibration estimation; estimation of complex parameters; variance estimation by linearization; and much more. Provides an up-to-date review of the theory of sampling Discusses the foundation of inference in survey sampling, in particular, the model-based and design-based frameworks Reviews the problems of application of the theory into practice Also deals with the treatment of non sampling errors Sampling and Estimation from Finite Populations is an excellent book for methodologists and researchers in survey agencies and advanced undergraduate and graduate students in social science, statistics, and survey courses.
Author: Raymond L. Chambers
Publisher: CRC Press
ISBN: 1420011359
Category : Mathematics
Languages : en
Pages : 374
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Book Description
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
Author: H. O. Hartley
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
The paper is a sequel to an earlier one (AD-698 468) on the same topic. The first paper was predominantly concerned with simple random sampling (with or without replacement) from a finite population. In the present paper one is concerned with examining the relation of the findings to the more complex sampling procedures such as unequal probability sampling as well as stratified and multistage sampling.
Author: M. Thompson
Publisher: CRC Press
ISBN: 9780412317804
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Following the chronological development of sample surveys, this book provides an analysis of the mathematical and statistical theory of the subject. The text begins with the mathematics of randomized sampling designs as well as a general treatment of estimation of population totals through the Horvits-Thompson estimator and its variants. The book then examines approximations and limit theorems for the distribution of the estimators and design-based estimation of other population quantities. It concludes with chapters concerning inference from surveys. Theory of Sample Surveys will assist in a range of applications, including: auditing quality monitoring market research wildlife surveys mining exploration agriculture and business surveys population health studies This book acts as an exceptional resource for survey methodologists in government organizations as well as lecturers and graduate students in statistics and biostatistics.
Author: Carl-Erik Särndal
Publisher: John Wiley & Sons
ISBN: 0470011343
Category : Mathematics
Languages : en
Pages : 212
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Book Description
Around the world a multitude of surveys are conducted every day, on a variety of subjects, and consequently surveys have become an accepted part of modern life. However, in recent years survey estimates have been increasingly affected by rising trends in nonresponse, with loss of accuracy as an undesirable result. Whilst it is possible to reduce nonresponse to some degree, it cannot be completely eliminated. Estimation techniques that account systematically for nonresponse and at the same time succeed in delivering acceptable accuracy are much needed. Estimation in Surveys with Nonresponse provides an overview of these techniques, presenting the view of nonresponse as a normal (albeit undesirable) feature of a sample survey, one whose potentially harmful effects are to be minimised. Builds in the nonresponse feature of survey data collection as an integral part of the theory, both for point estimation and for variance estimation. Promotes weighting through calibration as a new and powerful technique for surveys with nonresponse. Highlights the analysis of nonresponse bias in estimates and methods to minimize this bias. Includes computational tools to help identify the best variables for calibration. Discusses the use of imputation as a complement to weighting by calibration. Contains guidelines for dealing with frame imperfections and coverage errors. Features worked examples throughout the text, using real data. The accessible style of Estimation in Surveys with Nonresponse will make this an invaluable tool for survey methodologists in national statistics agencies and private survey agencies. Researchers, teachers, and students of statistics, social sciences and economics will benefit from the clear presentation and numerous examples.
Author: Paul Knottnerus
Publisher: Springer Science & Business Media
ISBN: 0387217649
Category : Mathematics
Languages : en
Pages : 425
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Book Description
This book describes a novel approach to the theory of sampling from finite populations. The new unifying approach is based on the sampling autocorrelation coefficient. The author derives a general set of sampling equations that describe the estimators, their variances as well as the corresponding variance estimators. This volume will be useful for survey practitioners faced with complex surveys.
Author: Changbao Wu
Publisher: Springer Nature
ISBN: 3030442462
Category : Social Science
Languages : en
Pages : 371
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Book Description
The three parts of this book on survey methodology combine an introduction to basic sampling theory, engaging presentation of topics that reflect current research trends, and informed discussion of the problems commonly encountered in survey practice. These related aspects of survey methodology rarely appear together under a single connected roof, making this book a unique combination of materials for teaching, research and practice in survey sampling. Basic knowledge of probability theory and statistical inference is assumed, but no prior exposure to survey sampling is required. The first part focuses on the design-based approach to finite population sampling. It contains a rigorous coverage of basic sampling designs, related estimation theory, model-based prediction approach, and model-assisted estimation methods. The second part stems from original research conducted by the authors as well as important methodological advances in the field during the past three decades. Topics include calibration weighting methods, regression analysis and survey weighted estimating equation (EE) theory, longitudinal surveys and generalized estimating equations (GEE) analysis, variance estimation and resampling techniques, empirical likelihood methods for complex surveys, handling missing data and non-response, and Bayesian inference for survey data. The third part provides guidance and tools on practical aspects of large-scale surveys, such as training and quality control, frame construction, choices of survey designs, strategies for reducing non-response, and weight calculation. These procedures are illustrated through real-world surveys. Several specialized topics are also discussed in detail, including household surveys, telephone and web surveys, natural resource inventory surveys, adaptive and network surveys, dual-frame and multiple frame surveys, and analysis of non-probability survey samples. This book is a self-contained introduction to survey sampling that provides a strong theoretical base with coverage of current research trends and pragmatic guidance and tools for conducting surveys.
Author: Arijit Chaudhuri
Publisher: CRC Press
ISBN: 1420028634
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Since publication of the first edition in 1992, the field of survey sampling has grown considerably. This new edition of Survey Sampling: Theory and Methods has been updated to include the latest research and the newest methods. The authors have undertaken the daunting task of surveying the sampling literature of the past decade to provide an outst
Author: Kirk Wolter
Publisher: Springer Science & Business Media
ISBN: 9780387406220
Category : Education
Languages : en
Pages : 504
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Book Description
Now available in paperback, this book is organized in a way that emphasizes both the theory and applications of the various variance estimating techniques. Results are often presented in the form of theorems; proofs are deleted when trivial or when a reference is readily available. It applies to large, complex surveys; and to provide an easy reference for the survey researcher who is faced with the problem of estimating variances for real survey data.
