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SOAs (version 1.4-1)

Creation of Stratum Orthogonal Arrays

Description

Creates stratum orthogonal arrays (also known as strong orthogonal arrays). These are arrays with more levels per column than the typical orthogonal array, and whose low order projections behave like orthogonal arrays, when collapsing levels to coarser strata. Details are described in Groemping (2022) "A unifying implementation of stratum (aka strong) orthogonal arrays" .

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Install

install.packages('SOAs')

Monthly Downloads

256

Version

1.4-1

License

GPL (>= 2)

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Repository

https://github.com/bertcarnell/SOAs

Maintainer

Ulrike Groemping

Last Published

September 3rd, 2025

Functions in SOAs (1.4-1)

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

Function to create 8-level SOAs according to Shi and Tang 2020

SOAs2plus_regular

function to create SOAs of strength 2+ from regular s-level designs

Function to create an OSOA in s^2 or s^3 levels and s^k runs from a basic number of levels s and a power k

Function to create OSOAs of strengths 2, 3, or 4 from an OA

function to create SOAs of strength t with the GOA construction by He and Tang.

function to create a strength 3 OSOA with 8-level columns or a strength 3- OSOA with 4-level columns from a Hadamard matrix

functions to evaluate stratification properties of (O)SOAs and GSOAs

Creation of Stratum (aka Strong) Orthogonal Arrays

contr.FFbHelmert

Full-factorial-based real-valued contrasts for s^el levels

createSaturated

Function to create a regular saturated strength 2 array

Function for fast calculation of stratification pattern according to Tian and Xu 2023

Utility function for inspecting available SOAs for which the user need not provide an OA

Initial recursive construction of X, Y, and Z

A complex-valued contrast function for s^el levels based on powers of the s-th root of the unity

A contrast function based on regular factorials for number of levels a prime or prime power

function to optimize the phi_p value of an array by level permutation

Functions to evaluate space filling of an array

create_DfromABC

Create object D from an ABC object

Create ABC object

work horse function for SOAs

unexported functions to support fast calculation of the stratification pattern with fastSP and fastSP.k

Utility functions for SOAs

guide_SOAs_from_OA

Utility function for inspecting SOAs obtainable from an OA

bound for number of columns for LiuLiu OSOAs

functions to evaluate low order projection properties of (O)SOAs

initialize recursive construction of A,B,C

optimize GWLP optimal oa for maximin criterion phi_p

Another utility for array creation (Shi and Tang)

Utilities for array creation

Functions for Galois field calculations

Function to create maximin distance level expanded arrays

function to create a strength 3 OSOA with 8-level columns from a Hadamard matrix

Function to create an OSOA from an OA

Create the expansions

Utility functions from DoE.base

NeighbourcalcUniversal

Function to do level permutations according to Weng's algorithm

Auxiliary function for optimized creation of OSOAs (function OSOAs) using the Li et al. algorithm for arbitrary initial OA

NeighbourcalcUniversal_random

Function to do level permutations according to Weng's algorithm without using a stored list of all permutations

Strong Orthogonal Arrays of Strength t using the method of Liu and Liu