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A small block size is easy to attack because of small set of permutations possible.
First, denote ( {boldsymbol{varPi}}_{{boldsymbol{xi}}_i} ) as the set of permutations on ξ i.
where Π is the set of permutations of {1,2,⋯, R}.
If two designs are equivalent the algorithm gives a set of permutations which map one design to the other.
Formally it is the set of permutations (sigma:{1,ldots,N}rightarrow{1,ldots,N}) (invertible maps of this set).
We prove that the generation of a Sudoku is equivalent to that of a fraction of a proper set of permutations.
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We implemented a set of permutation experiments to answer the question in this study.
The analysis is then executed in each set of permutation data.
One then creates a set of permutation correlation maps by randomly reshuffling the assignment of covariates to subjects.
To substantiate our conclusion that there exists little difference between the two groups in the real dataset, we conducted a set of permutation tests.
In practical applications, Pperm is not known and no repeats are performed, i.e. only one set of permutation values is generated for a test statistic.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com