Table_alr_Dirich_glv: Obtainig a table with the interpretable parameters

In CoDaLoMic: Compositional Models to Longitudinal Microbiome Data

Obtainig a table with the interpretable parameters

Description

This function returns a table with the interpretable parameters of the Dirich-gLV model.

Usage

Table_alr_Dirich_glv(Param.Estimates, especie, names, E)

Arguments

Param.Estimates	Vector with the estimates parameters. It is equal to c(tau,as.vector( pam)) where: pam Matrix. Each row has the parameters of each bacteria. Following our example, pam has the parameters placed as follows: r1 a11 a12 r2 a21 a22 tau Number. Value of the tau parameter in the model
especie	Matrix that contains at row i the bacterial taxa of bacteria i at all time points. The bacteria placed in the last row of this matrix is the one used as reference in the alr transformation that the model applies.
names	Vector with the name of the bacteria in the same order than are present in the especie matrix.
E	Number of bacteria available.

Details

In an example with three bacteria, the regression of this model is defined by

r_{1}\cdot log(x_{1}(t)/x_{3}(t))+log(x_{1}(t)/x_{3}(t))\cdot [a_{11}\cdot log(x_{1}(t)/x_{3}(t))(t)+a_{12}\cdot log(x_{2}(t)/x_{3}(t))]

r_{2}\cdot log(x_{2}(t)/x_{3}(t))+log(x_{2}(t)/x_{3}(t))\cdot [a_{21}\cdot log(x_{1}(t)/x_{3}(t))(t)+a_{22}\cdot log(x_{2}(t)/x_{3}(t))]

Value

Returns a table written in latex format with the matrix pam.

References

Creus-Martí, I. and Moya, A. and Santonja, F. J. (2018). A Statistical Model with a Lotka-Volterra Structure for Microbiota Data. Lucas Jodar, Juan Carlos Cortes and Luis Acedo, Modelling or engineering and human behavior 2018, Instituto Universitario de Matematica Multidisciplinar. ISBN: 978-84-09-07541-6

Examples

pam.ini=rbind(c(0.1,0.2,0.3),c(0.4,0.5,0.6))
paramEstimadosFinal=c(5, as.vector(pam.ini))
E=3
especie=cbind(c(0.2,0.4,0.4),c(0.1,0.1,0.8),c(0.5,0.1,0.4))
names=c("a","b","c")

Table_alr_Dirich_glv(paramEstimadosFinal,especie,names,E)

CoDaLoMic documentation built on April 12, 2025, 2:18 a.m.