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Communications in Statistics - Simulation and Computation Volume 37, 2008 - Issue 6
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Linear Models

Double Sampling Designs in Multivariate Linear Models with Missing Variables

Noam Cohen Department of Statistical Methodology, Central Bureau of Statistics, Jerusalem, IsraelCorrespondence[email protected]
,
Ori Davidov Department of Statistics, University of Haifa, Haifa, Israel
&
Yoel Haitovsky Department of Statistics, Hebrew University, Jerusalem, Israel
Pages 1156-1166 | Received 04 Jul 2007, Accepted 31 Dec 2007, Published online: 22 May 2008
 
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Abstract

We provide a method for finding the optimal double sampling plan for estimating the mean value of a continuous outcome. It is assumed that the fallible and true outcome data are related by a multivariate linear regression model where only some of the explanatory variables are sampled. Conditions under which double sampling is preferred over standard sampling plans are determined. An application of the method to a well-known data set on air pollution is presented.

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