Statistical disclosure control for data privacy using sequence of generalised linear models

Abstract

When releasing data for public use, statistical agencies seek to reduce the risk of disclosure, while preserving the utility of the release data. Common approaches such as adding random noises, top coding variables and swapping data values will distort the relationships in the original data. To achieve the aforementioned properties, we consider the synthetic data approach in this paper where we release multiply imputed partially synthetic data sets comprising original data values, and with values at high disclosure risk being replaced by synthetic values. To generate such synthetic data, we introduce a new variant of factored regression model proposed by Lee and Mitra in 2016. In addition, we take a step forward to propose a new algorithm in identifying the original data that need to be replaced with synthetic data. By using our proposed methods, data privacy can be preserved since it is difficult to identify the individual under the scenario that the released synthetic data are not entirely similar with the original data. Besides, valid inference about the data can be made using simple combining rules, which take the uncertainty due to the presence of synthetic values. To evaluate the performance of our proposed methods in term of the risk of disclosure and the utility of the released synthetic data, we conduct an experiment on a dataset taken from 1987 National Indonesia Contraceptive Prevalence.