makeOrthProjectors: Construct Orthogonal Projector Matrices
In kcha193/infoDecompuTE: Information Decomposition of Two-Phase Experiments

Description Usage Arguments Details Value Author(s) Examples

Construct a list of orthogonal projector matrices corresponding to all strata of the experiment.

1	makeOrthProjectors(BlkDesList)

BlkDesList

a list of block design matrices generated by makeBlkDesMat.

The strata decomposition is performed within this function. The first step is to convert the list of block design matrices generated by makeBlkDesMat to projection matrices using projMat. The second step is to use these projection matrices to project the raw data vector from one stratum to next stratum of the experiment; the resulting matrix corresponds to each stratum is the orthogonal projector matrix of the given stratum.

A list containing matrices.

Kevin Chang

design1 <- local({ 
  Ani = as.factor(LETTERS[c(1,2,3,4,
                            5,6,7,8)])
  Trt = as.factor(letters[c(1,1,1,1,
                            2,2,2,2)])
  data.frame(Ani, Trt, stringsAsFactors = TRUE )
})

blk.str = "Ani"
    
rT = terms(as.formula(paste("~", blk.str, sep = "")), keep.order = TRUE) 
blkTerm = attr(rT,"term.labels")
     
Z = makeBlkDesMat(design1, blkTerm)
Pb = makeOrthProjectors(Z)