A numeric vector with the number of components, clusters, to be considered, e.g. 1:3.
type
The type of trasformation to be used, either the additive log-ratio ("alr"), the isometric
log-ratio ("ilr") or the pivot coordinate ("pivot") transformation.
veo
Stands for "Variables exceed observations". If TRUE then if the number variablesin the model
exceeds the number of observations, but the model is still fitted.
graph
A boolean variable, TRUE or FALSE specifying whether a graph should be drawn or not.
Value
A plot with the BIC of the best model for each number of components versus the number of components.
A list including:
mod
A message informing the user about the best model.
BIC
The BIC values for every possible model and number of components.
optG
The number of components with the highest BIC.
optmodel
The type of model corresponding to the highest BIC.
Details
The alr or the ilr-transformation is applied to the compositional data first and then mixtures of
multivariate Gaussian distributions are fitted. BIC is used to decide on the optimal model and number
of components.
References
Ryan P. Browne, Aisha ElSherbiny and Paul D. McNicholas (2018). mixture: Mixture Models for Clustering and
Classification. R package version 1.5.
Ryan P. Browne and Paul D. McNicholas (2014). Estimating Common Principal Components in High Dimensions.
Advances in Data Analysis and Classification, 8(2), 217-226.
Aitchison J. (1986). The statistical analysis of compositional data. Chapman & Hall.