Electronic Journal of Statistics

A noninformative Bayesian approach for selecting a good post-stratification

Patrick Zimmerman and Glen Meeden

Full-text: Open access

Abstract

In the standard design approach to survey sampling prior information is often used to stratify the population of interest. A good choice of the strata can yield significant improvement in the resulting estimator. However, if there are several possible ways to stratify the population, it might not be clear which is best. Here we assume that before the sample is taken a limited number of possible stratifications have been defined. We will propose an objective Bayesian approach that allows one to consider these several different possible stratifications simultaneously. Given the sample the posterior distribution will assign more weight to the good stratifications and less to the others. Empirical results suggest that the resulting estimator will typically be almost as good as the estimator based on the best stratification and better than the estimator which does not use stratification. It will also have a sensible estimate of precision.

Article information

Source
Electron. J. Statist., Volume 12, Number 2 (2018), 2515-2536.

Dates
Received: March 2018
First available in Project Euclid: 27 July 2018

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1532678418

Digital Object Identifier
doi:10.1214/18-EJS1461

Subjects
Primary: 62D05: Sampling theory, sample surveys
Secondary: 62F15: Bayesian inference

Keywords
Finite population sampling stratification prior information stepwise Bayes

Rights
Creative Commons Attribution 4.0 International License.

Citation

Zimmerman, Patrick; Meeden, Glen. A noninformative Bayesian approach for selecting a good post-stratification. Electron. J. Statist. 12 (2018), no. 2, 2515--2536. doi:10.1214/18-EJS1461. https://projecteuclid.org/euclid.ejs/1532678418


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