hotel2T2

A matrix containing the Euclidean data of the first group.

A matrix containing the Euclidean data of the second group.

The significance level, set to 0.05 by default.

If R is 1 no bootstrap calibration is performed and the classical p-value via the F distribution is returned. If R is greater than 1, the bootstrap p-value is returned.

A boolean variable which is taken into consideration only when bootstrap calibration is performed. IF TRUE the histogram of the bootstrap test statistic values is plotted.

graph

Hotelling's test for testing the equality of two Euclidean population mean vectors.

 Multivariate analysis of variance 

 Equality of the covariance matrices 

Hotelling's multivariate version of the 2 sample t-test for Euclidean data

Regression, classification, contour plots, hypothesis testing and fitting of distributions for compositional data are some of the functions included.
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.
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.
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.
d) Tsagris M. (2015). Regression analysis with compositional data containing zero values. Chilean Journal of Statistics, 6(2):47--57.
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) Tsagris M., Alenazi A. and Stewart C. (2021). Non-parametric regression models for compositional data. <arXiv:2002.05137>.
k) Alenazi A. (2021). Alenazi, A. (2021). A review of compositional data analysis and recent advances. Communications in Statistics-Theory and Methods (Accepted for publication). <doi:10.1080/03610926.2021.2014890>.
We further include functions for percentages (or proportions).

Michail Tsagris

Compositional

Compositional Data Analysis

Giorgos Athineou

Abdulaziz Alenazi

Christos Adam

Hotelling's multivariate version of the 2 sample t-test for Euclidean data function

Hotelling's multivariate version of the 2 sample t-test for Euclidean data — Hotelling's multivariate version of the 2 sample t-test for Euclidean data

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Hotelling's multivariate version of the 2 sample t-test for Euclidean data: Hotelling's multivariate version of the 2 sample t-test for Euclidean data

Description

Usage

Arguments

Value

Details

References

See Also

Examples