Robust functional ANOVA with application to additive manufacturing

In this paper, we propose a new robust non-parametric functional analysis of variance method (RoFANOVA) that reduces the weights of outlying curves on the functional analysis of variance. It is implemented through a permutation test based on a test statistic obtained via a functional M-estimator. The performance of the RoFANOVA is demonstrated through an extensive Monte Carlo simulation study, where it is compared with some alternatives already presented in the literature, and a motivating real-case study related to the analysis of spatter ejections in an additive manufacturing process. The RoFANOVA method is implemented in the R package rofanova, available online on CRAN.