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Summary. The 2001 UK census was a one-number census. An integral part of such a process has been the creation of a transparent census database that has been adjusted for the underenumeration in the 2001 census. The methodology for creating this database is based on a controlled donor imputation system that imputes individuals and households estimated to have been missed in the census. This paper describes this methodology and provides results from a statistical assessment of its performance using data that realistically simulate the census process.