Abstract #302095

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JSM 2003 Abstract #302095
Activity Number: 363
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods
Abstract - #302095
Title: Monte Carlo Study on the Successive Difference Replication Method for Nonlinear Statistics
Author(s): Amang S. Sukasih*+ and Don Sig Jang
Companies: Mathematica Policy Research and Mathematica Policy Research, Inc.
Address: 2524 Glengyle Dr. #166, Vienna, VA, 22181-5510,
Keywords: complex survey ; systematic sample ; variance bias ; relative efficiency ; finite population simulation
Abstract:

Replication methods for variance estimation with complex survey data have been widely used in practice. The Successive Difference Replication Method (SDRM) is one among these methods. The SDRM variance estimator was developed by Robert E. Fay using the general replication method (1984) based on the variance of a systematic sample studied by Wolter (1985). Theoretical development of the SDRM (Fay and Train 1995) was described in terms of estimation of totals (a linear estimator). Our work focuses on the use of SDRM for nonlinear statistics such as the weighted means/proportions, coefficients of correlation and regression, and medians. The SDRM variance estimates are evaluated against the variance estimates computed through the Taylor Series method and the Jackknife method using Monte Carlo simulation under several different types of population.

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