An efficient approach for statistical matching of survey data through calibration, optimal transport and balanced sampling

Statistical matching aims to integrate two statistical sources. These sources can be two samples or a sample and the entire population. If two samples have been selected from the same population and information has been collected on different variables of interest, then it is interesting to match the two surveys to analyze, for example, contingency tables or covariances. In this paper, we propose an efficient method for matching two samples that may each contain a weighting scheme. The method matches the records from the two sources. Several variants are proposed in order to create a directly usable file integrating data from both information sources.