JSM 2004 - Toronto

Abstract #301683

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Activity Number: 387
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #301683
Title: Empirical Study on the Second-stage Sample Size
Author(s): Ryan Petska*+ and Yan Liu and Mary K. Batcher and Amy Luo
Companies: Ernst & Young LLP and Ernst & Young LLP and Ernst & Young LLP and Ernst & Young LLP
Address: 1225 Connecticut Ave NW, Washington, DC, 20036,
Keywords: second-stage sample ; model-based approach ; design-based approach
Abstract:

In the two-stage sampling design, how large should the second-stage sample size be? In the design-based approach, the second-stage sample size is incorporated in the variance formula. In the model-based approach, the second-stage sample size is not explicitly expressed but only factored in the variance formula. In the resampling method, the second-stage sample size is not even counted in the variance formula. It is known that as the second-stage sample size increases, the overall variance decreases. But the variance is not quantified by the second-stage sample size. We will investigate the impact of the second-stage sample size to the overall variance in different estimation approaches.

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