MAINT.Data: modelling and analysing interval data in R

Pedro Duarte Silva, Paula Brito, Peter Filzmoser, José Dias

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We present the CRAN R package MAINT.Data for the modelling and analysis of multivariate interval data, i.e., where units are described by variables whose values are intervals of IR, representing intrinsic variability. Parametric inference methodologies based on probabilistic models for interval variables have been developed, where each interval is represented by its midpoint and log-range, for
which multivariate Normal and Skew-Normal distributions are assumed. The intrinsic nature of the interval variables leads to special structures of the variance-covariance matrix, which are represented by four different possible configurations. MAINT.Data implements the proposed methodologies
in the S4 object system, introducing a specific data class for representing interval data. It includes functions and methods for modelling and analysing interval data, in particular maximum likelihood estimation, statistical tests for the different configurations, (M)ANOVA and Discriminant Analysis.
For the Gaussian model, Model-based Clustering, robust estimation, outlier detection and Robust Discriminant Analysis are also available.
Original languageEnglish
Article number2021-074
Pages (from-to)336-364
Number of pages29
JournalR Journal
Issue number2
Publication statusPublished - 1 Dec 2021


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