The University of Southampton
University of Southampton Institutional Repository

Maximum Likelihood Under Response Biased Sampling

Chambers, Raymond, Dorfman, Alan and Wang, Suojin (2003) Maximum Likelihood Under Response Biased Sampling , Southampton, UK Southampton Statistical Sciences Research Institute 21pp. (S3RI Methodology Working Papers, M03/18).

Record type: Monograph (Project Report)


Informative sampling occurs when the probability of inclusion in sample depends on
the value of the survey response variable. Response or size biased sampling is a
particular case of informative sampling where the inclusion probability is proportional
to the value of this variable. In this paper we describe a general model for response
biased sampling, which we call array sampling, and develop maximum likelihood and
estimating equation theory appropriate to this situation. The Missing Information
Principle (MIP) (Orchard and Woodbury, 1972) yields one (indirect) approach to
likelihood based survey inference (Breckling et al 1994). Some have questioned its
applicability in the case of informative sampling, because of the way it conditions on
the given sample. In this paper we describe a direct approach and show that it and the
MIP-based approach lead to identical results under array sampling. Comparison is
made to the weighted likelihood based approach described in Krieger and
Pfeffermann (1992). Extensions to the theory are also explored.

PDF 8168-01.pdf - Other
Download (128kB)

More information

Published date: 2003


Local EPrints ID: 8168
PURE UUID: afe14be2-b4c4-451d-b87f-9fc8deb71472

Catalogue record

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

Export record


Author: Raymond Chambers
Author: Alan Dorfman
Author: Suojin Wang

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 supports OAI 2.0 with a base URL of

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.