Multivariate Parametric Analysis of Interval Data

Brito, Paula; Duarte Silva, A. P.; Dias, José G.

http://hdl.handle.net/10400.14/14476

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Authors

Brito, Paula

Duarte Silva, A. P.

Dias, José G.

Abstract(s)

This work focuses on the study of interval data, i.e., when the variables’ values are intervals of IR, using parametric probabilistic models previously proposed. These models are based on the representation of each observed interval by its MidPoint and LogRange for which multivariate Normal and Skew-Normal distributions are assumed, considering different structures of the variance-covariance matrix. The proposed modelling has been applied to different multivariate methodologies - (M)ANOVA, discriminant analysis, model-based clustering - that are presented and discussed. The R-package MAINT.Data, available on CRAN, implements models and methods for the Gaussian case.

Keywords

Interval data Parametric modelling of interval data Symbolic data

URI

http://hdl.handle.net/10400.14/14476

Citation

BRITO, Paula; DUARTE SILVA, A.P.; DIAS, José G. - Multivariate Parametric Analysis of Interval Data. In SIS 2013 Statistical Conference on Advances in Latent Variables, Methods, Models and Applications, Brescia, Italia, 19-21 June 2013. BRENTARI, E...[et al.] (Eds.) - Advances in Latent Variables: Methods, Models and Applications. [Italia: Italian Statistical Society, 2013]. ISBN 978-88-343-2556-8. 8 p.