Sampling Theory and Methods

Overview

Sampling Theory and Methods presents the theoretical aspects of "Sample Surveys" in a lucid form for the benefit of both undergraduate and post graduate students of Statistics. It assumes very little background in probability theory.

The author presents in detail several sampling schemes, including simple random sampling, unequal probability sampling, and systematic, stratified, cluster, and multistage sampling. In addition to sampling schemes, he also discusses several ...

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Overview

Sampling Theory and Methods presents the theoretical aspects of "Sample Surveys" in a lucid form for the benefit of both undergraduate and post graduate students of Statistics. It assumes very little background in probability theory.

The author presents in detail several sampling schemes, including simple random sampling, unequal probability sampling, and systematic, stratified, cluster, and multistage sampling. In addition to sampling schemes, he also discusses several estimating methods, such as ratio and regression estimators, and covers in detail the use of superpopulation models.Many solved theoretical problems are incorporated into almost all the chapters. This feature helps readers acquire necessary skills to solve theoretical problems on their own.

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Editorial Reviews

Booknews
Intended as a text for undergraduate and graduate students majoring in statistics, this book establishes a background in probability theory and presents several sampling schemes. These include random sampling, unequal probability sampling methods, and systematic, stratified, cluster, and multistage sampling. Several estimating methods are also discussed, including those using ratio and regression estimators. The use of superpopulation models is detailed. And recent developments in the estimation of distribution functions and adaptive sampling schemes are presented. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9781842652145
  • Publisher: Alpha Science International, Limited
  • Publication date: 7/30/2005
  • Edition description: 2ND
  • Edition number: 2
  • Pages: 199

Table of Contents

Chapter 1 Preliminaries
1.1 Basic Definitions 1
1.2 Estimation of Population Total 3
1.3 Problems and Solutions 8
Chapter 2 Equal Probability Sampling
2.1 Simple Random Sampling 10
2.2 Estimation of Total 11
2.3 Problems and Solutions 16
Chapter 3 Systematic Sampling Schemes
3.1 Introduction 29
3.2 Linear Systematic Sampling 29
3.3 Schemes for Populations with Linear Trend 34
3.4 Autocorrelated Populations 39
3.5 Estimation of Variance 42
3.6 Circular Systematic Sampling 43
3.7 Systematic Sampling in Two Dimensions 44
3.8 Problems and Solutions 47
Chapter 4 Unequal Probability Sampling
4.1 PPSWR Sampling Method 55
4.2 PPSWOR Sampling Method 60
4.3 Random Group Method 63
4.4 Midzuno scheme 67
4.5 PPS Systematic Scheme 70
4.6 Problems and Solutions 71
Chapter 5 Stratified Sampling
5.1 Introduction 76
5.2 Sample Size Allocation 79
5.3 Comparision with Other Schemes 86
5.4 Problems and Solutions 89
Chapter 6 Use of Auxiliary Information
6.1 Introduction 97
6.2 Ratio Estimation 97
6.3 Unbiased Ratio Type Estimators 100
6.4 Almost Unbiased Ratio Estimators 102
6.5 Jackknife Ratio Estimator 104
6.6 Bound for Bias 105
6.7 Product Estimation 106
6.8 Two Phase Sampling 108
6.9 Use of Multi-auxiliary Information 113
6.10 Ratio Estimation in Stratified Sampling 115
6.11 Problems and Solutions 117
Chapter 7 Regression Estimation
7.1 Introduction 122
7.2 Difference Estimation 124
7.3 Double Sampling in Difference Estimation 125
7.4 Multivariate Difference Estimator 126
7.5 Inference under Super Population Models 129
7.6 Problems and Solutions 137
Chapter 8 Multistage Sampling
8.1 Introduction 140
8.2 Estimation under Cluster Sampling 140
8.3 Multistage Sampling 143
Chapter 9 Non-sampling Errors
9.1 Incomplete Surveys 152
9.2 Randomised Response Methods 158
9.3 Observational Errors 161
Chapter 10 Recent Developments
10.1 Adaptive Sampling 165
10.2 Estimation of Distribution Functions 171
10.3 Randomised Response Methods for Quantitative Data 174
References 179
Index 183
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