Advanced Sampling Theory with Applications

Abstract

With whose grace.. ' TABLE OF CONTENTS PREFACE 1 BASIC CONCEPTS AND MATHEMATICAL NOTATION 8.8 Stratum boundaries for multi-variate populations 8.9 Optimum allocation in multi-variate stratified sampling 8.10 Stratification using two-phase sampling 8.11 Post-stratified sampling 8.11 .1 Conditional post-stratification 8.11.2 Unconditional post-stratification 8.12 Estimation of proportion using stratified random samp ling Exercises Practical problems 9 NON-OVERLAPPING, OVERLAPPING, POST, AND ADAPTIVE CLUSTER SAMPLING 9.0 Introduction 9.1 Non-overlapping clusters of equal size 9.2 Optimum value of non-overlapping cluster size 9.3 Estimation of proportion using non-overlapping cluster sampling 9.4 Non-overlapping clusters of different sizes 9.5 Selection of non-overlapping clusters with unequal probability sampling 9.6 Optimal and robust strategies for non-overlapping cluster sampling 9.7 Overlapping cluster sampling 9.7. I Population size is known 9.7.2 Population size is unknown 9.8 Post-cluster sampling I7 9.9 Adaptive cluster sampling Exercises Practical problems

Sequential Data Weighting Procedures for Combined Ratio Estimators in Complex Sample Surveys

“…Post-stratification is stratification after selection of the sample in Cochran (1977: 135). Post-stratification studies continued by Guy (1979), Holt and Smith (1979), Bethlehem and Kersten (1985), Bethlehem and Keller (1987), Little (1993), Singh (2003), Lu and Gelman (2003), Cervantes and Brick (2009) and many other studies. The idea behind the poststratification is to divide population into homogenous strata according to the information gathered from the sample population (Bethlehem and Kersten 1985).…”

“…The ratio estimator uses auxiliary variable information to produce efficient estimates. Cochran (1940) was the first to show the contribution of known auxiliary information in improving the efficiency of the estimator of the population mean Y in survey sampling (Singh 2003). The quantity that is to be estimated from a sample design is the ratio of two variables both of which vary from unit to unit.…”

A Family of Estimators for Estimating Population Variance Using Auxiliary Information in Sample Survey

“…To exhibit the performance of the suggested class of estimators in comparison to other estimators, we consider a natural population from [Singh (2003), p.1111-1112]. The description of population is given below : y Amount (in $000) of real estate farm loans in different states during 1997, :…”

A Class of Estimators for Population Median in Two Occasion Rotation Sampling

“…Hence to decide about the optimum value of µ (fraction of sample to be drawn afresh on current occasion) so that M y may be estimated with maximum precision, we minimize M ( T d ) opt. in equation (19) with respect to µ. The optimum value of µ so obtained is one of the two roots given by…”