create_v_mat: Create ilr basis matrix (V)

In tystan/deltacomp: Functions to Analyse Compositional Data and Produce Confidence Intervals for Relative Increases and Decreases in the Compositional Components

Create ilr basis matrix (V)

Description

Create ilr basis matrix (V)

Usage

create_v_mat(n_comp)

Arguments

n_comp

the number of compositional variables

Value

A n_comp by n_comp - 1 matrix where each column relates to one ilr variable

The ilr basis made so that the numerator (+ values) for the ith column is in the ith row. All values below the + value in the column are set to -1 (the denominator).

The ilr basis for 3 compositional vars is (2, -1, -1)/sqrt(6), (0, 1, -1)/sqrt(2).

The ilr basis for 4 comp vars is (3, -1, -1, -1)/sqrt(12), (0, 2, -1, -1)/sqrt(6), (0, 0, 1, -1)/sqrt(2).

etc

tystan/deltacomp documentation built on Oct. 26, 2022, 7:24 a.m.