Abstract #300375

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JSM 2003 Abstract #300375
Activity Number: 453
Type: Contributed
Date/Time: Thursday, August 7, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Government Statistics
Abstract - #300375
Title: Regression Estimators for the 2001 Canadian Census
Author(s): Darryl Janes*+ and Michael Bankier
Companies: Statistics Canada and Statistics Canada
Address: 35 Benlark Rd., Ottawa, ON, K2J 2L5, Canada
Keywords: auxiliary variables ; calibration estimation
Abstract:

In the 2001 Canadian Census of Population, calibration or regression estimation was used to calculate a single set of household-level weights to be used for all Census estimates based on a 1 in 5 national sample of more than two million households. Because many auxiliary variables were available, only a subset of them could be used. Otherwise, some of the weights would have been smaller than one or even negative. A forward selection procedure was used to discard auxiliary variables which caused weights to be smaller than one or which caused a large condition number for the calibration weight matrix being inverted. Also, two calibration adjustments were done to achieve close agreement between auxiliary population counts and estimates for small areas. Prior to 2001, the projection Generalized Regression Estimator was used and the weights were required to be greater than zero. For the 2001 Census, a switch was made to a pseudo-optimal regression estimator which kept more auxiliary variables while, at the same time, required that the weights be one or more.

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