IsoCheck (version 0.1.0)

is.spread: Boolean check for a proper Spread

Description

Checks whether or not the input is a proper balanced (t-1)-spread of PG(n-1,2).

Usage

is.spread(spr, printstatements = TRUE)

Arguments

spr

A balanced spread of PG(n-1,2) stored as a three dimensional binary array (see Details and Examples of checkSpreadEquivalence).

printstatements

A Boolean indicating whether or not to print possible reasons for not being a spread if the input is not a spread.

Value

A Boolean indicating whether or not the input is a spread.

Details

Checks whether or not the input is a proper balanced (t-1)-spread of PG(n-1,2). The spread should be formatted as a 3-dimensional array with spr[i,j,k] indicating whether or not the ith basic factor is present in the jth effect of the kth flat of spr. See Spencer et al. (2019) for details.

References

Spencer, N.A., Ranjan, P., and Mendivil, F., (2019), "Isomorphism Check for \(2^n\) Factorial Designs with Randomization Restrictions", Journal of Statistical Theory and Practice, 13(60),1-24 [https://doi.org/10.1007/s42519-019-0064-5]

See Also

is.star for checking if the input is a balanced covering star. checkSpreadIsomorphism for checking the isomorphism of balanced spreads. checkStarIsomorphism for checking the isomorphism of balanced covering stars.

Examples

# NOT RUN {
## Example 1: checking whether "spreadn4t2a" is a proper spread
data(spreadn4t2a)
is.spread(spreadn4t2a)



## Example 2: checking whether "starn5t3a" is a proper spread
data(starn5t3a)
is.spread(starn5t3a)
# }