Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/mainfunctions.R

A function that converts a balanced covering star `St(n, mu, t, t_0)`

of `PG(n-1,2)`

to its corresponding balanced `((t-t_0)-1)`

-spread of `PG((n-t_0)-1,2)`

.

1 | ```
star_to_spread(star)
``` |

`star` |
A balanced covering star of |

Finds a balanced `((t-t_0)-1)`

-spread of `PG((n-t_0)-1,2)`

embedded in `PG(n-1,2)`

as conformable with the geometry of a balanced covering star `St(n, mu, t, t_0)`

of `PG(n-1,2)`

. The star should be formatted as a 3-dimensional array with `star[i,j,k]`

indicating whether or not the `i`

th basic factor is present in the `j`

th effect of the `k`

th flat of `star`

. See Spencer et al. (2019) for details.

A balanced `((t-t_0)-1)`

-spread of `PG((n-t_0)-1,2)`

Neil Spencer, Pritam Ranjan, Franklin Mendivil

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]

`is.spread`

for checking if the input is a balanced spread.

`checkSpreadIsomorphism`

for checking the isomorphism of balanced spreads.

`checkStarIsomorphism`

for checking the isomorphism of balanced covering stars.

1 2 3 4 5 6 7 8 9 | ```
## Example 1: checking whether "starn8t5a" is a proper star
data(starn8t5a)
star_to_spread(starn8t5a)
## Example 2: checking whether "starn5t3a" is a proper star
data(starn5t3a)
star_to_spread(starn5t3a)
``` |

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