faosorios / nonnormality

Addressing non-normality in multivariate analysis

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Addressing non-normality in multivariate analysis

R MVT fastmatrix fMultivar sn plot3D DOI

Supplementary material to Addressing non-normality in multivariate analysis using the t-distribution by Felipe Osorio, Manuel Galea, Claudio Henriquez and Reinaldo Arellano-Valle (AStA Advances in Statistical Analysis, DOI: 10.1007/s10182-022-00468-2).

Code written by: Felipe Osorio

Correspondence author: Felipe Osorio, Email: felipe.osorios@usm.cl

Code tested on:

  • R under development (2018-02-21 r74285), running Linux Mint 18.3 (64 bits)
  • R version 3.3.0, running OS X 10.13.4 (64 bits)
  • R version 3.4.3, running Windows 10 (64 bits)

Attached packages: MVT 0.3, fastmatrix 0.3-8196, fMultivar 4021.83, sn 2.1.0, plot3D 1.4

CONTENTS:

  • case_studies/Ex1_WindSpeed.R: R commands for the analysis of wind speed dataset (analyzed at Sections 5.2.1 from manuscript).
  • case_studies/Ex2_PSG.R: R commands for the analysis of transient sleep disorder dataset (analyzed at Sections 5.2.2 from manuscript).
  • code/boots.R: R functions for bootstrap and Negentropy.
  • code/envelope.R: computation of QQ-plot with simulation envelopes.
  • code/stats.R: R functions to obtain summary statistics.
  • code/student.influence.R: R functions to compute the conformal curvature under the t-perturbation.
  • app_B/App_B.R and mardia.R: R commands to construct the Mardia's skewness coefficient plot.
  • README.md: this file.

DATASETS:

  • PSG: clinical trial on transient sleep disorder dataset.
  • WindSpeed: Wind speed in the Pacific North-West of the United States collected at three meteorological towers approximately located on a line and ordered from west to east: Goodnoe Hills (gh), Kennewick (kw), and Vansycle (vs).

PSG and WindSpeed now are provided by MVT package.

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Addressing non-normality in multivariate analysis


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