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Goga, Camelia
and Ruiz-Gazen, Anne
(2019)
Improving the estimation of the odds ratio in sampling surveys using auxiliary information.
TSE Working Paper, n. 19-1000, Toulouse
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Abstract
The odds-ratio measure is widely used in Health and Social surveys where the aim is to compare the odds of a certain event between a population at risk and a population not at risk. It can be defined using logistic regression through an estimating equation that allows a generalization to continuous risk variable. Data from surveys need to be analyzed in a proper way by taking into account the survey weights. Because the odds-ratio is a complex parameter, the analyst has to circumvent some difficulties when estimating confidence intervals. The present paper suggests a nonparametric approach that can take advantage of some auxiliary information in order to improve on the precision of the odds-ratio estimator. The approach consists in B-spline modelling which can handle the nonlinear structure of the parameter in a exible way and is easy to implement. The variance estimation issue is solved through a linearization approach and confidence intervals are derived. Two small applications are discussed.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Language: | English |
| Date: | March 2019 |
| Place of Publication: | Toulouse |
| Uncontrolled Keywords: | B-spline functions, estimating equation, influence function, linearization, logistic regression, survey data |
| Subjects: | B- ECONOMIE ET FINANCE |
| Divisions: | TSE-R (Toulouse) |
| Institution: | Université Toulouse 1 Capitole |
| Site: | UT1 |
| Date Deposited: | 27 Mar 2019 09:11 |
| Last Modified: | 18 Mar 2021 14:23 |
| OAI Identifier: | oai:tse-fr.eu:122890 |
| URI: | https://publications.ut-capitole.fr/id/eprint/32268 |
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