Created
March 31, 2018 17:00
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Compositional Data Transformations
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| #compositional analysis | |
| library(compositions) | |
| x<-c(.1,.5,.4) | |
| V<-t(ilrBase(x)) | |
| D<-rbind(c(1,0,-1),c(0,1,-1)) | |
| x_alr<-D%*%log(x) | |
| x_ilr<-V%*%log(x) | |
| x_alr | |
| alr(x) | |
| x_ilr | |
| ilr(x,t(V)) | |
| #matrix to convert ilr to alr directly | |
| A<-D%*%t(V) | |
| #is A invertible? | |
| det(A) #should be nonzero | |
| x_alr2<-A%*%x_ilr |
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