XiaoXuMDLE: Implementation of the Xiao Xu TA algorithm (experimental, for...

In SOAs: Creation of Stratum Orthogonal Arrays

Implementation of the Xiao Xu TA algorithm (experimental, for comparison with MDLEs only)

Description

Implementation of the Xiao Xu TA algorithm (experimental, for comparison with MDLEs only)

Usage

XiaoXuMDLE(
  oa,
  ell,
  noptim.oa = 1,
  nseq = 2000,
  nrounds = 50,
  nsteps = 3000,
  dmethod = "manhattan",
  p = 50
)

createF(Dc, Dp, s, ell, nseq = 2000)

optimize(
  Dc,
  s,
  ell,
  Fhat,
  nrounds = 50,
  nsteps = 3000,
  dmethod = "manhattan",
  p = 50
)

Arguments

oa	matrix or data.frame that contains an ingoing symmetric OA. Levels must be denoted as 0 to s-1 or as 1 to s.
ell	the multiplier for each number of levels
noptim.oa	integer: number of optimization rounds applied to initial oa itself before starting expansion
nseq	tuning parameters for TA algorithm
nrounds	tuning parameters for TA algorithm
nsteps	tuning parameters for TA algorithm
dmethod	distance method for phi_p, "manhattan" (default) or "euclidean"
p	p for phi_p (the larger, the closer to maximin distance)
Dc	matrix
Dp	matrix
s	original number of levels
Fhat	distribution function (created with createF)

Details

The ingoing oa is optimized by function phi_optimize, using noptim.rounds=noptim.oa; this yields the matrix Dp for use in the internal functions DcFromDp and createF.
Function XiaoXuMDLE returns the value that is produced by applying the internal function optimize to the resulting Dc and F.

Value

XiaoXuMDLE returns a matrix with attribute phi_p.

createF returns a distribution function.

optimize returns a matrix with attribute phi_p.

References

For full detail, see SOAs-package.

Xiao and Xu (2018)

Examples

## create 8-level columns from 4-level columns
XiaoXuMDLE(DoE.base::L16.4.5, 2, nrounds = 5, nsteps=50)

SOAs documentation built on Sept. 9, 2025, 5:40 p.m.