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Measuring the Evolution of Complex Indicators Theory and Application to the Poverty Rate in France

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  • Fabien Dell

    (Crest)

  • Xavier d'Haultfoeuille

    (Crest)

Abstract

This paper addresses the issue of measuring and testing evolutions of complex indicators inthe framework of survey sampling. This involves the computation of variances of complex statistics,but also of covariances. Indeed, rotating designs may bring important positive correlationsbetween indicators. These correlations are often neglected in testing temporal stability, leading toconclusions deemed to be too conservative. We obtain variances and covariances by adapting thefunctional delta method to survey sampling. The theory is then applied to the evolution of thepoverty rate in France.

Suggested Citation

  • Fabien Dell & Xavier d'Haultfoeuille, 2006. "Measuring the Evolution of Complex Indicators Theory and Application to the Poverty Rate in France," Working Papers 2006-11, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:2006-11
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    1. Yves Berger, 2004. "A Simple Variance Estimator for Unequal Probability Sampling without Replacement," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(3), pages 305-315.
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