Variance estimation of DEE and regression estimator when a first-phase cluster sample is restratified

ABSTRACT

We consider a variance estimation when a stratified single stage cluster sample is selected in the first phase and a stratified simple random element sample is selected in the second phase. We propose explicit formulas of (asymptotically), we propose explicit formulas of (asymptotically) unbiased variance estimators for the double expansion estimator and regression estimator. We perform a small simulation study to investigate the performance of the proposed variance estimators. In our simulation study, the proposed variance estimator showed better or comparable performance to the Jackknife variance estimator. We also extend the results to a two-phase sampling design in which a stratified pps with replacement cluster sample is selected in the first phase.

KEYWORDS:

• Double expansion estimator
• Economic activity status for disabled survey
• Regression estimator
• Re-weighted expansion estimator
• Two-phase sampling

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 62D05
• Secondary 62-07

Funding

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2013R1A1A2006363).