The performance of the Martini Index in terms of aggregativity: An application on EU KLEMS data

The study of the properties of index numbers is a crucial point in the analysis of economic aggregates in order to ensure the coherence of the results obtained. In this context, the property of coherence in aggregation appears to be very important when these quantities are divided into sectors and subsectors, to ensure consistency of results at different levels of sectoral aggregation. Index numbers of expenditure ratios satisfy this property by construction; however, they often do not satisfy other properties such as factor reversibility. In this paper, the Martini index was proposed as a viable alternative for calculating Total Factor Productivity (TFP). In the proposed application on EU KLEMS data, the results obtained are very encouraging and confirm the interest in the Martini index.