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Title: A multivariate permutation test for the analysis of paired samples: the mixed data scenario Authors:  Riccardo Ceccato - Università degli Studi di Padova (Italy) [presenting]
Rosa Arboretti - University of Padova (Italy)
Elena Barzizza - Università degli studi di Padova (Italy)
Nicolo Biasetton - Università degli Studi di Padova (Italy)
Marta Disegna - University of Padova (Italy)
Luca Pegoraro - University of Padova (Italy)
Luigi Salmaso - University of Padova (Italy)
Abstract: The comparison of two populations can be quite challenging under multivariate scenarios, especially when the number of variables is much larger than the sample size. The Nonparametric Combination (NPC) methodology represents a suitable, flexible and quite powerful solution to such problems, allowing us to implicitly take into account existing correlations in a multivariate outcome. Additionally, the NPC can be adopted to deal with several complex scenarios involving multiple data types. We focus on a particularly challenging task, in which paired samples need to be compared and both numeric and ordinal variables are available, and propose an appropriate NPC-based solution. A simulation study is conducted to evaluate the performance of our proposal.