Chi-squared tests in dual frame surveys

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Yan Lu^Note 1

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Abstract

In order to obtain better coverage of the population of interest and cost less, a number of surveys employ dual frame structure, in which independent samples are taken from two overlapping sampling frames. This research considers chi-squared tests in dual frame surveys when categorical data is encountered. We extend generalized Wald’s test (Wald 1943), Rao-Scott first-order and second-order corrected tests (Rao and Scott 1981) from a single survey to a dual frame survey and derive the asymptotic distributions. Simulation studies show that both Rao-Scott type corrected tests work well and thus are recommended for use in dual frame surveys. An example is given to illustrate the usage of the developed tests.

Key Words

Asymptotic properties; Chi-squared tests; Dual frame surveys; First-order corrected test; Second-order corrected test; Simulations.

Table of content

• 1. Introduction
• 2. Background
• 3. Chi-squared tests in dual frame surveys
• 4. Simulations
• 5. Application
• 6. Conclusions
• Acknowledgements
• References

Notes