Transformed Variables in Survey Sampling

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).


[img] PDF
Download (989Kb)


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.

Item Type: Monograph (UNSPECIFIED)
Related URLs:
Subjects: H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 8171
Accepted Date and Publication Date:
Date Deposited: 11 Jul 2004
Last Modified: 31 Mar 2016 11:11

Actions (login required)

View Item View Item

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