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# Rotate Lambda and eta jointly
# ARGUMENTS: lambda: list of loadings samples
# eta: list of factor samples
jointRot = function(lambda, eta){
vari = lapply(lambda, varimax)
loads = lapply(vari, `[[`, 1)
rots = lapply(vari, `[[`, 2)
rotfact = mapply(`%*%`, eta, rots, SIMPLIFY = FALSE)
norms = sapply(loads, norm, "2")
piv = loads[order(norms)][[round(length(lambda)/2)]]
matches = lapply(loads, msfOUT, piv)
lamout = mapply(aplr, loads, matches, SIMPLIFY = FALSE)
etaout = mapply(aplr, rotfact, matches, SIMPLIFY = FALSE)
return(list(lambda = lamout, eta = etaout))
}
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