JSM 2011 Online Program

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Abstract Details

Activity Number: 36
Type: Contributed
Date/Time: Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #302108
Title: Using Successive Difference Replication for Estimating Variances
Author(s): Stephen Ash*+
Companies: U.S. Census Bureau
Address: 5405 8th road south, ARLINGTON, VA, 22204,
Keywords: Successive differences ; successive difference replication ; systematic random sampling
Abstract:

Fay and Train (1995) present a method called successive difference replication that can be used to estimate the variance of an estimated total from a systematic random sample from an ordered list. The estimator uses the general form of a replication variance estimator, where the replicate factors are constructed such that the estimator mimics the successive difference estimator. In the paper, we establish the conditions for successive difference replication to be equivalent to successive difference estimator. We also discuss the impact of using a subset of the replicates as an estimator instead of the full set of replicates that is needed for the successive difference replication estimator to be equivalent to the successive difference estimator.


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