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Family Resources Survey 2000-01

Estimation methodology

The 2000-01 FRS publication presents tabulations where the percentages refer to sample estimates grossed up to apply to the whole population.

Grossing up is the term usually given to the process of applying factors to sample data so that they yield estimates for the overall population. The simplest grossing system would be a single factor, the uniform grossing factor, which could be calculated as the number of households in the population divided by the number in the achieved sample. However, surveys are normally grossed by a more complex set of grossing factors, which attempt to correct for differential non-response at the same time as they scale up sample estimates.

The system used to calculate grossing factors for the FRS divides the sample into different groups and the grossing factors are the ratio of population estimates to sample counts for those groups. The groups are designed to reflect differences in response rates among different types of households. They have also been chosen with the aims of DWP analyses in mind. The population estimates are based on control variables, with values derived from external data sources.

The control variables and their sources are listed below. The FRS grossing system controls for variables at both household level and benefit unit level. A grossed count of the number of owner occupying households would thus tie in with the DLTR figure, whilst the grossed number of single men under 35 would be consistent with the Office for National Statistics estimate. Some adjustments have been made to the original control total data sources so that definitions match those in the FRS. e.g. an adjustment has been made to the demographic data to exclude people not resident in private households.

Control variables used to generate grossing factors

Variable

Groupings

Source of data

Age/sex/marital status

Single men: <35, 35-59, 60+

Single women: <35, 35-64, 65+

Couples: <65, 65+

Office for National Statistics, Government Actuaries Department

Lone parents

Male, female

DWP estimates

Families

No. of couples with children

DWP estimates

Tenure type

LA renters, private renters, owner occupiers

DTLR estimates

Council Tax Band

A, B, C-D, E-H

DTLR estimates

Region

London, other

DTLR estimates

In order to reconcile control variables at different levels and estimate their joint population, software provided by the French national statistics institute INSEE has been used. This software works by iterating towards a solution and options within it that give the solution which minimises the range of grossing factors have been used. This should maximise the potential precision of grossed estimates; if a few cases are associated with very small or very large grossing factors, grossed estimates will have relatively wide confidence intervals.

Careful consideration has been given to the combination of control totals and the way age ranges, Council Tax bands and so on, have been grouped together. The aim has been to strike a balance so that the grossing system will provide, where possible, accurate estimates in different dimensions without significantly increasing variances.

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