Assessing the Precision of Compositional Data in a Stratified Double Stage Cluster Sample: Application to the Swiss Earnings Structure Survey
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Precision of released figures is not only an important quality feature of official statistics,
it is also essential for a good understanding of the data. In this paper we show a case
study of how precision could be conveyed if the multivariate nature of data has to be
taken into account. In the official release of the Swiss earnings structure survey, the total
salary is broken down into several wage components. We follow Aitchison's approach
for the analysis of compositional data, which is based on logratios of components. We
first present diferent multivariate analyses of the compositional data whereby the wage
components are broken down by economic activity classes. Then we propose a number
of ways to assess precision
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