Sampath S. Sampling Theory and Methods

CRC Press / Narosa Publishing, 2001. — 189 p.This book is an outcome of nearly two decades of my teaching experience both at the graduate and postgraduate level in Loyola College (Autonomous), Chennai 600 034, during which I came across numerous books and research articles on "Sample Surveys".
I have made an attempt to present the theoretical aspects of "Sample Surveys" in a lucid form for the benefit of both undergraduate and post graduate students of Statistics.
The first chapter of the book introduces to the reader basic concepts of Sampling Theory which are essential to understand the later chapters. Some numerical examples are also presented to help the readers to have clear understanding of the concepts. Simple random sampling design is dealt with in detail in the second chapter. Several solved examples which consider various competing estimators for the population total are also included in the same chapter. The third is devoted to systematic sampling schemes. Various systematic sampling schemes like, linear, circular, balanced, modified systematic sampling and their performances under different superpopulation models are also discussed. In the fourth chapter several unequal probability sampling-estimating strategies are presented. Probability Proportional to Size Sampling With and Without Replacement are considered with appropriate estimators. In addition to them Midzuno sampling scheme and Random group Method are also included. Stratified sampling, allocation problems and related issues are presented with full details in the fifth chapter. Many interesting solved problems are also added. In the sixth and seventh chapters the use of auxiliary information in ratio and regression estimation are discussed. Results related to the properties of ratio and regression estimators under super-population models are also given. Cluster sampling and multistage sampling are presented in the eighth chapter. The results presented in under two stage sampling are general in nature. In the ninth chapter, non-sampling errors, randomised response techniques and related topics are discussed. Some recent developments in sample surveys namely, Estimation of distribution functions, Adaptive sampling schemes, randomised response methods for quantitative data are presented in the tenth chapter.
Many solved theoretical problems are incorporated into almost all the chapters which will help the readers acquire necessary skills to solve problems of theoretical nature on their own.Preliminaries.
Equal Probability Sampling.
Systematic Sampling Schemes.
Unequal Probability Sampling.
Stratified Sampling.
Use of Auxiliary Information.
Regression Estimation.
Multistage Sampling.
Non-sampling Errors.
Recent Developments.