Variance Estimation for a Low-Income Proportion
Berger, Yves G. and Skinner, Chris J. (2003) Variance Estimation for a Low-Income Proportion. Southampton, UK, Southampton Statistical Sciences Research Institute, 21pp. (S3RI Methodology Working Papers, (M03/03) ).
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 (UNSPECIFIED)|
|Subjects:||H Social Sciences > HA Statistics|
|Divisions:||University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
|Date Deposited:||07 Jun 2004|
|Last Modified:||27 Mar 2013 11:58|
|Contributors:||Berger, Yves G. (Author)
Skinner, Chris J. (Author)
|Publisher:||Southampton Statistical Sciences Research Institute|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Actions (login required)