Compositional:Compositional Data Analysis
Regression, classification, contour plots, hypothesis testing and fitting of distributions for compositional data are
some of the functions included. We further include functions
for percentages (or proportions). The standard textbook for
such data is John Aitchison's (1986) "The statistical analysis
of compositional data". Relevant papers include: a) Tsagris
M.T., Preston S. and Wood A.T.A. (2011). "A data-based power
transformation for compositional data". Fourth International
International Workshop on Compositional Data Analysis.
<doi:10.48550/arXiv.1106.1451> b) Tsagris M. (2014). "The k-NN
algorithm for compositional data: a revised approach with and
without zero values present". Journal of Data Science, 12(3):
519--534. <doi:10.6339/JDS.201407_12(3).0008>. c) Tsagris M.
(2015). "A novel, divergence based, regression for
compositional data". Proceedings of the 28th Panhellenic
Statistics Conference, 15-18 April 2015, Athens, Greece,
430--444. <doi:10.48550/arXiv.1511.07600>. d) Tsagris M.
(2015). "Regression analysis with compositional data containing
zero values". Chilean Journal of Statistics, 6(2): 47--57.
<https://soche.cl/chjs/volumes/06/02/Tsagris(2015).pdf>. e)
Tsagris M., Preston S. and Wood A.T.A. (2016). "Improved
supervised classification for compositional data using the
alpha-transformation". Journal of Classification, 33(2):
243--261. <doi:10.1007/s00357-016-9207-5>. f) Tsagris M.,
Preston S. and Wood A.T.A. (2017). "Nonparametric hypothesis
testing for equality of means on the simplex". Journal of
Statistical Computation and Simulation, 87(2): 406--422.
<doi:10.1080/00949655.2016.1216554>. g) Tsagris M. and Stewart
C. (2018). "A Dirichlet regression model for compositional data
with zeros". Lobachevskii Journal of Mathematics, 39(3):
398--412. <doi:10.1134/S1995080218030198>. h) Alenazi A.
(2019). "Regression for compositional data with compositional
data as predictor variables with or without zero values".
Journal of Data Science, 17(1): 219--238.
<doi:10.6339/JDS.201901_17(1).0010>. i) Tsagris M. and Stewart
C. (2020). "A folded model for compositional data analysis".
Australian and New Zealand Journal of Statistics, 62(2):
249--277. <doi:10.1111/anzs.12289>. j) Alenazi A.A. (2022).
"f-divergence regression models for compositional data".
Pakistan Journal of Statistics and Operation Research, 18(4):
867--882. <doi:10.18187/pjsor.v18i4.3969>. k) Tsagris M. and
Stewart C. (2022). "A Review of Flexible Transformations for
Modeling Compositional Data". In Advances and Innovations in
Statistics and Data Science, pp. 225--234.
<doi:10.1007/978-3-031-08329-7_10>. l) Alenazi A. (2023). "A
review of compositional data analysis and recent advances".
Communications in Statistics--Theory and Methods, 52(16):
5535--5567. <doi:10.1080/03610926.2021.2014890>. m) Tsagris M.,
Alenazi A. and Stewart C. (2023). "Flexible non-parametric
regression models for compositional response data with zeros".
Statistics and Computing, 33(106).
<doi:10.1007/s11222-023-10277-5>. n) Tsagris. M. (2025).
"Constrained least squares simplicial-simplicial regression".
Statistics and Computing, 35(27).
<doi:10.1007/s11222-024-10560-z>. o) Sevinc V. and Tsagris. M.
(2024). "Energy Based Equality of Distributions Testing for
Compositional Data". <doi:10.48550/arXiv.2412.05199>.
