Compositional7.0 package

Estimation of the value of $\alpha$ in the folded model

$\alpha$-generalised correlations between two compositional datasets

Tuning of the $\alpha$-generalised correlations between two compositio...

Energy test of equality of distributions using the $\alpha$-transforma...

The $\alpha$-IT transformation

Aitchison's test for two mean vectors and/or covariance matrices

The $\alpha$-IT-distance

Contour plot of the $\alpha$ multivariate normal in $S^2$

The $\alpha$-kernel regression with compositional response data

Cross validation for the $\alpha$-kernel regression with compositional...

The $\alpha$-k-NN regression for compositional response data

Cross validation for the $\alpha$-k-NN regression with compositional r...

All pairwise additive log-ratio transformations

The $\alpha$-k-NN regression with compositional predictor variables

LASSO with compositional predictors using the $alpha$-transformation

Principal coordinate analysis using the $\alpha$-distance

Gaussian mixture models for compositional data using the $\alpha$-tran...

Naive Bayes classifiers for compositional data using the $\alpha$-tran...

Principal component analysis using the $\alpha$-transformation

Multivariate or univariate regression with compositional data in the c...

Projection pursuit regression with compositional predictor variables u...

Estimation of the value of $\alpha$ via the alfa profile log-likelihoo...

The $\alpha$-transformation

Regularised and flexible discriminant analysis for compositional data ...

Regression with compositional data using the $\alpha$-transformation

Ridge regression with compositional data in the covariates side using ...

Fast estimation of the value of $\alpha$

The $\alpha$-distance

Inverse of the $\alpha$-transformation

Cross validation for the $\alpha$-k-NN regression with compositional p...

Cross-validation for LASSO with compositional predictors using the $al...

Cross-validation for the naive Bayes classifiers for compositional dat...

The k-nearest neighbours using the $\alpha$-distance

Tuning the number of PCs in the PCR with compositional data using the ...

Tuning of the projection pursuit regression with compositional predict...

Cross validation for the regularised and flexible discriminant analysi...

Tuning the value of $\alpha$ in the $\alpha$-regression

Ridge regression plot

Cross validation for the ridge regression with compositional data as p...

MLE of the folded model for a given value of $\alpha$

The additive log-ratio transformation and its inverse

The $\alpha$-SCLS model for compositional responses and predictors

The $\alpha$-TFLR model for compositional responses and predictors

The Box-Cox transformation applied to ratios of components

MLE of distributions defined in the (0, 1) interval

Beta regression

Mixture model selection with the $\alpha$-transformation using BIC

Mixture model selection via BIC

Contour plot of the t distribution in $S^2$

Naive Bayes classifiers for compositional data

Column-wise MLE of some univariate distributions

Estimating location and scatter parameters for compositional data

Multivariate kernel density estimation for compositional data

Contour plot of the kernel density estimate in $S^2$

The k-NN algorithm for compositional data

Projection pursuit regression for compositional data

Multivariate regression with compositional data

Hypothesis testing for two or more compositional mean vectors

Tuning of the k-NN algorithm for compositional data

Contour plot of the normal distribution in $S^2$

Compositional Data Analysis

Tuning of the projection pursuit regression for compositional data

Cross-validation for the $alpha$-SCLS model

Cross-validation for the $alpha$-TFLR model

Cross validation for some compositional regression models

Cross-validation for the naive Bayes classifiers for compositional dat...

Cross-validation for the Dirichlet discriminant analysis

Cross-validation for the LASSO log-ratio regression with compositional...

Cross-validation for the LASSO Kullback-Leibler divergence based regre...

Cross-validation for the SCLS model

Cross validation for the TFLR model

Dirichlet discriminant analysis

Density values of a Dirichlet distribution

Density of the Flexible Dirichlet distribution

Density of the folded model normal distribution

Density values of a generalised Dirichlet distribution

Contour plot of the Dirichlet distribution in $S^2$

MLE of the a Dirichlet distribution

MLE of the Dirichlet distribution via Newton-Rapshon

Dirichlet regression

Log-likelihood ratio test for a Dirichlet mean vector

Divergence matrix of compositional data

Simulation of compositional data from Gaussian mixture models

Density values of a mixture of Dirichlet distributions

Projections based test for distributional equality of two groups

Principal coordinate analysis using the Jensen-Shannon divergence

The ESOV-distance

Contour plot of the Flexible Dirichlet distribution in $S^2$

Contour plot of the $\alpha$-folded model in $S^2$

The folded power transformation

The Frechet mean for compositional data

Helper Frechet mean for compositional data

Contour plot of the generalised Dirichlet distribution in $S^2$

Log-contrast regression with compositional predictor variables

Principal component generalised linear models

Tuning the principal components with GLMs

Greenacre's power transformation

Two-sample test of high-dimensional means for compositional data

The Helmert sub-matrix

Log-contrast regression with multiple compositional predictors

ICE plot for the $\alpha$-kernel regression

ICE plot for the $\alpha-k-NN$ regression

ICE plot for univariate kernel regression

ICE plot for projection pursuit regression with compositional predicto...

Kernel regression with a numerical response vector or matrix

Generalised Dirichlet random values simulation

Cross validation for the kernel regression with Euclidean response dat...

Divergence based regression for compositional data with compositional ...

Divergence based regression for compositional data

Helper functions for the Kullback-Leibler regression

Minimized Kullback-Leibler divergence between Dirichlet and logistic n...

Kullback-Leibler divergence and Bhattacharyya distance between two Dir...

Tuning of the divergence based regression for compositional data with ...

LASSO log-ratio regression with compositional response

LASSO Kullback-Leibler divergence based regression

Plot of the LASSO coefficients

Log-contrast GLMS with compositional predictor variables

Log-contrast logistic or Poisson regression with with multiple composi...

Log-contrast quantile regression with compositional predictor variable...

Log-contrast quantile regression with with multiple compositional pred...

ANOVA for the log-contrast GLM versus the uncostrained GLM

ANOVA for the log-contrast regression versus the uncostrained linear r...

Principal component analysis

Generate random folds for cross-validation

Contour plot of the Gaussian mixture model in $S^2$

Gaussian mixture models for compositional data

Contour plot of mixtures of Dirichlet distributions in $S^2$

Multivariate kernel density estimation

Tuning of the bandwidth h of the kernel using the maximum likelihood c...

The multiplicative log-ratio transformation and its inverse

Multivariate linear regression

MLE for the multivariate t distribution

Non linear least squares regression for compositional data

Distance based regression models for proportions

Proportionality correlation coefficient matrix

Perturbation operation

The pivot coordinate transformation and its inverse

Power operation

Projection pursuit regression with compositional predictor variables

Tuning of the projection pursuit regression with compositional predict...

Estimation of the probability left outside the simplex when using the ...

Quasi binomial regression for proportions

Random values generation from some univariate distributions defined on...

Multivariate normal random values simulation on the simplex

Multivariate skew normal random values simulation on the simplex

Multivariate t random values simulation on the simplex

Dirichlet random values simulation

Simulation of compositional data from the Flexible Dirichlet distribut...

Simulation of compositional data from the folded model normal distribu...

Ridge regression plot

Ridge regression

Cross validation for the ridge regression

Simulation of compositional data from Gaussian mixture models

Simulation of compositional data from mixtures of Dirichlet distributi...

Permutation test for the matrix of coefficients in the SCLS model

Permutation linear independence test in the SCLS model

Simplicial constrained linear least squares (SCLS) for compositional r...

The SCLS model with multiple compositional predictors

Simplicial constrained median regression for compositional responses a...

Contour plot of the skew skew-normal distribution in $S^2$

Spatial median regression

Log-likelihood ratio test for a symmetric Dirichlet distribution

Ternary diagram with the coefficients of the simplicial-simplicial reg...

Ternary diagram with confidence region for the matrix of coefficients ...

Ternary diagram with confidence region for the mean

Ternary diagram

Ternary diagram of regression models

Permutation test for the matrix of coefficients in the TFLR model

Permutation linear independence test in the TFLR model

Transformation-free linear regression (TFLR) for compositional respons...

The TFLR model with multiple compositional predictors

Total variability

Unconstrained GLMs with compositional predictor variables

Unconstrained logistic or Poisson regression with multiple composition...

Unconstrained linear regression with compositional predictor variables

Unconstrained linear regression with multiple compositional predictors

Unconstrained quantile regression with compositional predictor variabl...

Unconstrained quantile regression with multiple compositional predicto...

Unit-Weibull regression models for proportions

MLE of the zero adjusted Dirichlet distribution

Zero adjusted Dirichlet regression

Non-parametric zero replacement strategies