obliqueR {lazy.fa}

R Documentation

Planar Oblique Rotation with grid search of optimal rho.

Description

Planar Oblique Rotation with grid search of optimal rho.

Usage

obliqueR(
  func,
  A,
  ...,
  sim = 1,
  method = "nlm",
  SQUAREM = 3,
  init = "pca",
  minr = 0,
  maxr = 0.7,
  npoint = 0,
  by = 0.1,
  print = 0
)

Arguments

A	The factor loadings matrix
...	additional parameters to func such as kappa or gamma parameter.
sim	= 0 to use successive method
SQUAREM	1 or 3 to use SQUAREM
init	= Initial rotation method: "pc", "varimax", or "promax"
minr	The lower bound of rho
maxr	The upper bound of rho
npoint	# of discrete points for rho in [minr,maxr] or 0
by	The by parameter for rho=seq(minr,maxr,by) npoint has precedence.
print	= 1 to print the result
funuc	The criterion function to be minimized.

Details

For each rho in [minr,maxr], define the factor correlation matrix R as R=(1-ρ)I - ρ 1 1' and use planarR function to find the rotation matrix T, and accordingly
invtW=P %*% diag(sqrt(Lambda)) %*% Tk %*% diag(1/sqrt(Delta)) %*% t(Q)
so that B=A %*% invtW has a simple structure mesured by function "func"..
The value of rho which minimizes the criterion function calculated by "func" will be chosen as the best value of rho.

Examples

seed=1701
set.seed(seed)

n=20; ndim=5

A=gendatafa_A( n, ndim, pc=1 )$loadings
res=obliqueR( critOBR, A, sim=1, print=1, minr=0, maxr=0.8, by=0.1 )

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