# spreadn6t2b: Data: A cyclic 1-spread of PG(5,2) In IsoCheck: Isomorphism Check for Multi-Stage Factorial Designs with Randomization Restrictions

## Description

A balanced 1-spread of PG(5,2) obtained via cyclic construction

## Usage

 `1` ```data(spreadn6t2b) ```

## Format

The spread is formatted as a 3-dimensional array, where the `[i,j,k]`-th element indicates whether or not the `i`th basic factor is present in the `j`th effect of the `k`th flat of the spread.

## Details

The spread consists of 21 subspaces f_1, f_2, ..., f_{21} given by
f_1=(EF,BCD,BCDEF), f_2 = (A,ACF,CF), f_3 = (B,ABCDE,ACDE), f_4 = (DF,F,D), f_5=(E,BC,BCE), f_6=(ABC,ABEF,CEF), f_7=(AEF,ABDF,BDE), f_8=(AB,BDEF,ADEF), f_9=(BDF,ABCDEF,ACE), f_{10}=(DEF,BCF,BCDE), f_{11}=(ABCE,ACEF,BF), f_{12}=(BEF,AE,ABF), f_{13}=(ADF,AC,CDF), f_{14}=(ABCDF,ABE,CDEF), f_{15}=(AF,ACDF,CD), f_{16}=(C,AD,ACD), f_{17}=(ABDE,CE,ABCD), f_{18}=(ABDEF,CDE,ABCF), f_{19}=(ACDEF,BD,ABCEF), f_{20}=(BCEF,DE,BCDF), and f_{21}=(BE,ADE,ABD).

## Note

In R, the data must be loaded using the `data` function.

## Author(s)

Neil Spencer, Pritam Ranjan, Franklin Mendivil

## 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

`checkSpreadIsomorphism` for checking the isomorphism of balanced spreads.
`checkStarIsomorphism` for checking the isomorphism of balanced covering stars.

IsoCheck documentation built on March 25, 2020, 5:09 p.m.