Empirical Likelihood Inference for the Rao‐Hartley‐Cochran Sampling Design. (22nd December 2015)

• Record Type: Journal Article
• Authors: Berger, Yves G.
• Is Part Of: Scandinavian journal of statistics. Volume 43:Number 3(2016:Sep.)
• Page Start: 721
• Page End: 735
• Publication Date: 2015-12-22
• Subjects: auxiliary information -- confidence intervals -- design‐based approach -- estimating equations -- regression estimator; Statistics -- Periodicals; 310
• DOI: 10.1111/sjos.12200
• Languages: English
• ISSNs: 0303-6898

Abstract

Abstract: The Hartley‐Rao‐Cochran sampling design is an unequal probability sampling design which can be used to select samples from finite populations. We propose to adjust the empirical likelihood approach for the Hartley‐Rao‐Cochran sampling design. The approach proposed intrinsically incorporates sampling weights, auxiliary information and allows for large sampling fractions. It can be used to construct confidence intervals. In a simulation study, we show that the coverage may be better for the empirical likelihood confidence interval than for standard confidence intervals based on variance estimates. The approach proposed is simple to implement and less computer intensive than bootstrap. The confidence interval proposed does not rely on re‐sampling, linearization, variance estimation, design‐effects or joint inclusion probabilities.