The University of Southampton
University of Southampton Institutional Repository

Transformed Variables in Survey Sampling

Record type: Monograph (Project Report)

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 seems appropriate, not for Y itself, but for a strictly monotone transformation of Y. In the present paper, we mainly focus on the important case where the transformation is logarithmic, but some new ideas introduced are not limited to that case. 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 for reducing sensitivity to deviant points is suggested. We evaluate and compare the different estimators we describe in an extensive empirical study based on four economic populations taken from the UK Monthly Wages and Salaries Survey.

PDF 8171-01.pdf - Other
Download (1MB)

Citation

Chambers, Raymond L. and Dorfman, Alan H. (2003) Transformed Variables in Survey Sampling , Southampton, UK Southampton Statistical Sciences Research Institute 41pp. (S3RI Methodology Working Papers, M03/21).

More information

Published date: 2003

Identifiers

Local EPrints ID: 8171
URI: http://eprints.soton.ac.uk/id/eprint/8171
PURE UUID: 84a675a5-85e0-4057-8f49-f0715f5033ef

Catalogue record

Date deposited: 11 Jul 2004
Last modified: 17 Jul 2017 17:13

Export record

Contributors

Author: Raymond L. Chambers
Author: Alan H. Dorfman

University divisions


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×