Variance estimation for a low-income proportion

Berger, Yves G. and Skinner, Chris J. (2003) Variance estimation for a low-income proportion. Southampton, GB, University of Southampton, 21pp. (S3RI Methodology Working Papers, M03/03).


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Proportions below a given fraction of a quantile of an income distribution are often estimated from survey data in poverty comparisons. We consider the estimation of the variance of such a proportion, estimated from Family Expenditure Survey data. We show how a linearization method of variance estimation may be applied to this proportion, allowing for the effects of both a complex sampling design and weighting by a raking method to population controls. We show that, for 1998-99 data, the estimated variances are always increased when allowance is made for the design and raking weights, the principal effect arising from the design. We also study the properties of a simplified variance estimator and discuss extensions to a wider class of poverty measures.

Item Type: Monograph (Working Paper)
Subjects: H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 7792
Date Deposited: 07 Jun 2004
Last Modified: 28 Mar 2014 15:26
Standard error estimation for distributional measures from complex surveys
Funded by: ESRC (R000223397)
1 November 2000 to 31 October 2001

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