Sampling statistics

Discover the latest developments and current practices in survey sampling Survey sampling is an important component of research in many fields, and as the importance of survey sampling continues to grow, sophisticated sampling techniques that are both economical and scientifically reliable are essen...

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Bibliographic Details
Main Author Fuller, Wayne A
Format eBook Book
LanguageEnglish
Published Hoboken, N.J Wiley 2009
WILEY
John Wiley & Sons, Incorporated
Wiley-Blackwell
Edition1
SeriesWiley Series in Survey Methodology
Subjects
Estimation theory
Mathematical statistics
Mathematics
Probability & Statistics
Sampling (Statistics)
Online AccessGet full text
ISBN9780470454602
0470454601
0470523549
9780470523544
DOI10.1002/9780470523551

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Table of Contents:
  • Sampling statistics -- CONTENTS -- PREFACE -- LIST OF TABLES -- LIST OF PRINCIPAL RESULTS -- LIST OF EXAMPLES -- CHAPTER 1: PROBABILITY SAMPLING FROM A FINITE UNIVERSE -- CHAPTER 2: USE OF AUXILIARY INFORMATION IN ESTIMATION -- CHAPTER 3: USE OF AUXILIARY INFORMATION IN DESIGN -- CHAPTER 4: REPLICATION VARIANCE ESTIMATION -- CHAPTER 5: MODELS USED IN CONJUNCTION WITH SAMPLING -- CHAPTER 6: ANALYTIC STUDIES -- REFERENCES -- INDEX
  • 3.3.3 Separate samples with common characteristics -- 3.3.4 Composite estimation -- 3.4 Rejective sampling -- 3.5 References -- 3.6 Exercises -- 4 REPLICATION VARIANCE ESTIMATION -- 4.1 Introduction -- 4.2 Jackknife Variance Estimation -- 4.2.1 Introduction -- 4.2.2 Stratified samples -- 4.2.3 Quantiles -- 4.3 Balanced Half-Samples -- 4.4 Two-Phase Samples -- 4.5 The Bootstrap -- 4.6 References -- 4.7 Exercises -- 5 MODELS USED IN CONJUNCTION WITH SAMPLING -- 5.1 Nonresponse -- 5.1.1 Introduction -- 5.1.2 Response models and weighting -- 5.2 Imputation -- 5.2.1 Introduction -- 5.2.2 Fractional imputation -- 5.2.3 Nearest-neighbor imputation -- 5.2.4 Imputed estimators for domains -- 5.3 Variance Estimation -- 5.4 Outliers and Skewed Populations -- 5.5 Small Area Estimation -- 5.6 Measurement Error -- 5.6.1 Introduction -- 5.6.2 Simple estimators -- 5.6.3 Complex estimators -- 5.7 References -- 5.8 Exercises -- 6 ANALYTIC STUDIES -- 6.1 Introduction -- 6.2 Models and Simple Estimators -- 6.3 Estimation of Regression Coefficients -- 6.3.1 Ordinary least squares and tests for bias -- 6.3.2 Consistent estimators -- 6.4 Instrumental variables -- 6.4.1 Introduction -- 6.4.2 Weighted instrumental variable estimator -- 6.4.3 Instrumental variables for weighted samples -- 6.4.4 Instrumental variable pretest estimators -- 6.5 Nonlinear models -- 6.6 Cluster and multistage samples -- 6.7 Pretest procedures -- 6.8 References -- 6.9 Exercises -- REFERENCES -- Index
  • Intro -- SAMPLING STATISTICS -- CONTENTS -- Preface -- List Of Tables -- List Of Principal Results -- List Of Examples -- 1 PROBABILITY SAMPLING FROM A FINITE UNIVERSE -- 1.1 Introduction -- 1.2 Probability Sampling -- 1.2.1 Basic properties of probability samples -- 1.2.2 Poisson sampling -- 1.2.3 Stratified sampling -- 1.2.4 Systematic sampling -- 1.2.5 Replacement sampling -- 1.2.6 Rejective sampling -- 1.2.7 Cluster samples -- 1.2.8 Two-stage sampling -- 1.3 Limit Properties -- 1.3.1 Sequences of estimators -- 1.3.2 Central limit theorems -- 1.3.3 Functions of means -- 1.3.4 Approximations for complex estimators -- 1.3.5 Quantiles -- 1.4 Methods of Unequal Probability Sample Selection -- 1.5 References -- 1.6 Exercises -- 1.7 Appendix 1 A: Some Order Concepts -- 2 USE OF AUXILIARY INFORMATION IN ESTIMATION -- 2.1 Ratio Estimation -- 2.2 Regression Estimation -- 2.2.1 Simple random sampling under the normal model -- 2.2.2 General populations and complex samples -- 2.2.3 Poststratification -- 2.2.4 Residuals for variance estimation -- 2.3 Models and Regression Estimation -- 2.3.1 Linear models -- 2.3.2 Nonlinear models -- 2.4 Regression and Stratification -- 2.5 Estimation with Conditional Probabilities -- 2.6 Regression for Two-Stage Samples -- 2.7 Calibration -- 2.8 Weight Bounds -- 2.9 Maximum Likelihood and Raking Ratio -- 2.10 References -- 2.11 Exercises -- 2.12 Appendix 2A: Missouri Data -- 3 USE OF AUXILIARY INFORMATION IN DESIGN -- 3.1 Introduction -- 3.1.1 Selection probabilities -- 3.1.2 Strata formation -- 3.1.3 Stratification and variance estimation -- 3.1.4 Controlled two-per-stratum design -- 3.1.5 Design for subpopulations -- 3.2 Multiple-Stage Samples -- 3.2.1 Cluster sampling -- 3.2.2 Two-stage sampling -- 3.3 Multiple-Phase Samples -- 3.3.1 Two-phase samples -- 3.3.2 Three-phase samples