Mean repair costs of dwellings in Scottish unitary authorities: An application of shrinkage. proportions
N. T. Longford and C. Macintyre


The principal aim of the Scottish House Condition Survey is to collect information about the extent of disrepair of the housing stock in Scotland. The survey data, collected in 1996 on over 18,000 dwellings, is used for making inferences about the mean and total repair costs. In this paper, we analyse the subset of 4640 dwellings owned and managed by the local authorities. We explore how the data could be used to estimate the mean repair costs of such dwellings in each of the 32 unitary authorities in Scotland. For the largest authorities, which are represented in the survey by large enough subsamples, straightforward estimation by the sample means is satisfactory. We show that the estimation of the mean repair costs in the smallest authorities is greatly improved by shrinkage. A multivariate extension of the method is applied to estimate the authority-level means within the categories defined by the age and location (urban or rural) of the dwellings.
  In R. Banks et al. (Eds.) Leading Survey and Statistical Computing into the New Millenium. Proceedings of the Third ASC International Conference, Edinburgh, 22-24th September 1999, pp. 347-354, (1999).