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Article Dans Une Revue Annales de l'ISUP Année : 2019

Improving the Estimation of the Odds Ratio in Sample Surveys using Auxiliary Information

Résumé

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 régression through an estimating équation that allows a generalization to continuons 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 présent paper suggests a nonparametric approach that can take advantage of some auxiliary information in order to improve on the précision of the oddsratio estimator. The approach consists in B-spline modelling which can handle the nonlinear structure of the parameter in a flexible way and is easy to impiement. The variance estimation issue is solved through a linearization approach and confidence intervals are derived. Two small illustrations are discussed.
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Dates et versions

hal-03603905 , version 1 (10-03-2022)

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  • HAL Id : hal-03603905 , version 1

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Camélia Goga, Anne Ruiz-Gazen. Improving the Estimation of the Odds Ratio in Sample Surveys using Auxiliary Information. Annales de l'ISUP, 2019, 63 (2-3), pp.143-154. ⟨hal-03603905⟩
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