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Theory Of Sample Surveys - Arjun K. Gupta

Theory Of Sample Surveys


Published: 15th May 2011
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Sample surveys is the most important branch of statistics. Without sample surveys there is no data, and without data there is no statistics. This book is the culmination of the lecture notes developed by the authors. The approach is theoretical in the sense that it gives mathematical proofs of the results in sample surveys. Intended as a textbook for a one-semester course for undergraduate seniors or first-year graduate students, a prerequisite basic knowledge of algebra, calculus, and statistical theory is required to master the techniques described in this book.

Prefacep. vii
Simple Random Samplingp. 1
Introductionp. 1
Simple Random Sampling without Replacementp. 1
Simple Random Sampling with Replacementp. 5
Procedures for Selection of Simple Random Samplesp. 8
Determination of Sample Sizep. 12
Estimation of a Proportionp. 14
Sampling With Varying Probabilities of Selectionp. 23
Introductionp. 23
Sampling with Varying Probabilities of Selection and with Replacementp. 23
Comparison with SRSWRp. 25
Sampling with Varying Probabilities of Selection and without Replacementp. 26
Midzuno Scheme of Samplingp. 31
pps Sampling with Replacementp. 32
pps Sampling without Replacementp. 32
Selection Procedures for pps Samplingp. 33
Stratified samplingp. 41
Stratified Samplingp. 41
Estimation in Stratified Samplingp. 41
Optimum Allocationp. 43
Proportional Allocationp. 47
Comparison of Stratified Sampling with SRSWORp. 47
Estimation of Gain in Efficiency from Stratified Samplep. 49
Estimation of a Proportion in Stratified Samplingp. 51
Systematic Samplingp. 61
Systematic Samplingp. 61
Estimation in Systematic Samplingp. 62
Comparison with SRSWORp. 63
Comparison with Stratified Samplingp. 66
Comparison of Systematic Sampling for Population with Linear Trendsp. 67
Estimation of Sampling Variancep. 70
Systematic Sampling when N ≠ nkp. 70
Circular Systematic Samplingp. 73
Ratio Method of Estimationp. 77
Ratio Method of Estimationp. 77
Bias of Ratio Estimatorp. 78
Approximate Variance of Ratio Estimatorp. 80
Comparison with SRSWORp. 82
Estimation of a Ratiop. 83
Conditions under which Ratio Estimator is the Bestp. 84
Ratio Estimation in Stratified Samplingp. 85
Unbiased Ratio Type Estimatorp. 90
Unbiased Ratio Estimatorp. 91
Product Estimatorp. 91
Multivariate Ratio Estimatorp. 93
Egression Method of Estimationp. 99
Regression Method of Estimationp. 99
Bias and Variance of the Regression Estimatorp. 100
Regression Estimator of the Population Totalp. 102
Comparison with SRSWOR and Ratio Estimatorp. 102
Regression Estimation in Stratified Samplingp. 103
Multivariate Regression Estimatorp. 107
Cluster Samplingp. 111
Cluster Samplingp. 111
Estimation in Case of Equal Clustersp. 111
Efficiency of Cluster Samplingp. 115
Estimation of Efficiencyp. 116
Optimum Size of Cluster Samplingp. 118
Estimation of a Proportionp. 120
Estimation in Case of Unequal Clustersp. 121
pps with Replacementp. 125
Sub-Sampling Two-Stage and Three-Stage Samplingp. 133
Sub-samplingp. 133
Two-stage Sampling - Equal First-stage Unitsp. 133
Comparison of Two-stage Sampling with One-stage Sam-plingp. 139
Optimum Values of n and mp. 141
Two-stage Sampling-unequal First-stage Unitsp. 143
Three-stage Samplingp. 155
Optimum Values of n, m, and p in Three-stage Samplingp. 161
Double Samplingp. 167
Double Samplingp. 167
Double Sampling for Ratio Estimationp. 168
Double Sampling for Difference Estimationp. 172
Double Sampling for Regression Estimationp. 173
Double Sampling for pps Estimationp. 175
Double Sampling for Unbiased Ratio Estimationp. 179
Successive Samplingp. 184
Non-Sampling Errorsp. 191
Non-sampling Errorsp. 191
Sources of Non-sampling Errorsp. 192
Observational Errorsp. 192
Estimation of the Variancep. 197
Optimum Value of the Number of Enumeratorsp. 201
Problem of Non-responsep. 203
Table of Random Numbersp. 211
Referencesp. 213
Indexp. 223
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ISBN: 9789814322478
ISBN-10: 9814322474
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 236
Published: 15th May 2011
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 23.5 x 15.88  x 2.54
Weight (kg): 0.56