Abstract #300890

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JSM 2003 Abstract #300890
Activity Number: 290
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #300890
Title: Estimating Finite Population Totals Using Transformations
Author(s): Alan H. Dorfman*+ and Raymond L. Chambers
Companies: Bureau of Labor Statistics and University of Southampton
Address: 2 Massachusetts Ave., NE, Washington, DC, 20212-0001,
Keywords: simple random sampling ; stratified sampling ; jackknife variance estimation ; robust estimation ; smearing
Abstract:

It can happen, especially in economic surveys, that we are interested in estimating the population mean or total of a variable Y, based on a sample, when a linear model makes sense, not for Y itself, but for a transformation (strictly monotonic function) of Y. We mainly focus on the important case where the transformation is logarithmic. Currently available methods based on the lognormal distribution are reviewed, and two new methods introduced, one based on the idea of "smearing" (Duan 1983.), which do not require the lognormal assumption. Theoretical biases and variances are given, with suggestions for sample design and variance estimation, and a practical measure suggested to reduce sensitivity to deviant points. Estimators are evaluated and compared in an extensive empirical study on four economic populations.

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