Homogeneous Imputation under Two Phase Probability Proportional to Size Sampling

Bayesian Inference under Cluster Sampling with Probability Proportional to Size

Cluster sampling is common in survey practice, and the corresponding inference has been predominantly design-based. We develop a Bayesian framework for cluster sampling and account for the design effect in the outcome modeling. We consider a two-stage cluster sampling design where the clusters are first selected with probability proportional to cluster size, and then units are randomly sampled ...

On a Scheme of Sampling of Two Units With Inclusion Probability Proportional to Size

Abstract: This paper introduces an unequal probability sampling without replacement scheme with inclusion probability proportional to size. This new scheme possesses some desirable properties with regard to πi and πij , and provides a non-negative variance estimator of the Horvitz and Thompson estimator, when the values of the auxiliary variable fulfill some restrictions. On comparing the sugge...

Jackknife Variance Estimation for Two Samples after Imputation under Two-Phase Sampling

We propose a jackknife variance estimator for the population average from two, two-phase samples after imputation. The jackknife method has long been used to estimate and reduce bias, but has now become a valuable tool for variance estimation. We apply two different sampling methods, (simple random sampling and stratified random sampling) to derive jackknife variance estimators for the twosampl...

Linearization Variance Estimation and Allocation for Two-phase Sampling under Mass Imputation

We consider two-phase sampling in which values of a variable of interest are observed only in the second-phase sub-sample. Values for the first-phase units not sampled in the second-phase are mass imputed, using values from an administrative file when available and regression imputation otherwise. Such two-phase sampling methods are often used in annual business surveys to reduce survey costs a...

Optimal Calibration Estimators under Two-phase Sampling