On the distribution of isometric log-ratio transformations under
extra-multinomial count data
On the distribution of isometric log-ratio transformations under
extra-multinomial count data
Compositional data arise when count observations are normalised into proportions adding up to unity. To allow use of standard statistical methods, compositional proportions can be mapped from the simplex into the Euclidean space through the isometric log-ratio (ilr) transformation. When the counts follow a multinomial distribution with fixed class-specific probabilities, …