Sampling [electronic resource].

9.2 Estimation in Random Sampling with Replacement.

Sampling; Contents; Preface; Preface to the Second Edition; Preface to the First Edition; 1 Introduction; 1.1 Basic Ideas of Sampling and Estimation; 1.2 Sampling Units; 1.3 Sampling and Nonsampling Errors; 1.4 Models in Sampling; 1.5 Adaptive and Nonadaptive Designs; 1.6 Some Sampling History; PART I BASIC SAMPLING; 2 Simple Random Sampling; 2.1 Selecting a Simple Random Sample; 2.2 Estimating the Population Mean; 2.3 Estimating the Population Total; 2.4 Some Underlying Ideas; 2.5 Random Sampling with Replacement; 2.6 Derivations for Random Sampling; 2.7 Model-Based Approach to Sampling.

2.8 Computing NotesEntering Data in R; Sample Estimates; Simulation; Further Comments on the Use of Simulation; Exercises; 3 Confidence Intervals; 3.1 Confidence Interval for the Population Mean or Total; 3.2 Finite-Population Central Limit Theorem; 3.3 Sampling Distributions; 3.4 Computing Notes; Confidence Interval Computation; Simulations Illustrating the Approximate Normality of a Sampling Distribution with Small n and N; Daily Precipitation Data; Exercises; 4 Sample Size; 4.1 Sample Size for Estimating a Population Mean; 4.2 Sample Size for Estimating a Population Total.

4.3 Sample Size for Relative PrecisionExercises; 5 Estimating Proportions, Ratios, and Subpopulation Means; 5.1 Estimating a Population Proportion; 5.2 Confidence Interval for a Proportion; 5.3 Sample Size for Estimating a Proportion; 5.4 Sample Size for Estimating Several Proportions Simultaneously; 5.5 Estimating a Ratio; 5.6 Estimating a Mean, Total, or Proportion of a Subpopulation; Estimating a Subpopulation Mean; Estimating a Proportion for a Subpopulation; Estimating a Subpopulation Total; Exercises; 6 Unequal Probability Sampling.

6.1 Sampling with Replacement: The Hansen-Hurwitz Estimator6.2 Any Design: The Horvitz-Thompson Estimator; 6.3 Generalized Unequal-Probability Estimator; 6.4 Small Population Example; 6.5 Derivations and Comments; 6.6 Computing Notes; Writing an R Function to Simulate a Sampling Strategy; Comparing Sampling Strategies; Exercises; PART II MAKING THE BEST USE OF SURVEY DATA; 7 Auxiliary Data and Ratio Estimation; 7.1 Ratio Estimator; 7.2 Small Population Illustrating Bias; 7.3 Derivations and Approximations for the Ratio Estimator.

7.4 Finite-Population Central Limit Theorem for the Ratio Estimator7.5 Ratio Estimation with Unequal Probability Designs; 7.6 Models in Ratio Estimation; Types of Estimators for a Ratio; 7.7 Design Implications of Ratio Models; 7.8 Computing Notes; Exercises; 8 Regression Estimation; 8.1 Linear Regression Estimator; 8.2 Regression Estimation with Unequal Probability Designs; 8.3 Regression Model; 8.4 Multiple Regression Models; 8.5 Design Implications of Regression Models; Exercises; 9 The Sufficient Statistic in Sampling; 9.1 The Set of Distinct, Labeled Observations.

Praise for the Second Edition"This book has never had a competitor. It is the only book that takes a broad approach to sampling ... any good personal statistics library should include a copy of this book." & mdash;Technometrics"Well-written ... an excellent book on an important subject. Highly recommended." & mdash;Choice"An ideal reference for scientific researchers and other professionals who use sampling." & mdash;Zentralblatt MathFeatures new developments in the field combined with all aspects of obtaining, interpreting, and using sample dataSampling provides an up-to-date treatment of bo.