SOAs (version 1.4)

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

Description

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

Usage

guide_SOAs(s = 2, el = 3, m = NULL, n = NULL, ...)

Value

The function returns a data frame, each row of which contains a possibility; if no SOAs exist, the data.frame has zero rows. There is example code for constructing the SOA. Code details must be adjusted by the user (see the documentation of the respective functions). #'

Arguments

s

required (default: 2); prime or prime power on which the SOA is based

el

required (default: 3); the power to which s is to be taken, i.e. the SOA will have columns with s^el levels

m

the number of columns needed (optional)

n

the maximum number of runs that are acceptable (optional);
should be a multiple of s^el; must not be smaller than m+1, if m is specified

...

currently unused

Author

Ulrike Groemping

Details

The function provides the possible creation variants of an SOA that has m columns in s^el levels in up to n runs. It is permitted to specify m OR n only; in that case the function provides constructions with the smallest n or the largest m, respectively.
If both m and n are omitted, the function returns the smallest possible (O)SOA constructions for s^el levels that can be obtained without providing an OA.

References

For full detail, see SOAs-package.

Groemping (2023a)
He, Cheng and Tang (2018)
Li, Liu and Yang (2021)
Shi and Tang (2020)
Zhou and Tang (2019)

See Also

guide_SOAs_from_OA

Examples

## guide_SOAs
## There is a Zhou and Tang type SOA with 4-level columns in 8 runs
guide_SOAs(2, 2, n=8)
## There are no SOAs with 8-level columns in 8 runs
guide_SOAs(2, 3, n=8)
## What SOAs based on s=2 in s^3 levels with 7 columns
## can be construct without providing an OA?
guide_SOAs(2, 3, m=7)
## pick the Shi and Tang family 3 design
myST_3plus <- SOAs_8level(n=32, m=7, constr='ShiTang_alphabeta')
## Note that the design has orthogonal columns and strength 3+,
## i.e., very good balance properties.