Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Alias Component Permutation Matrices (ACPM) for the $3^n$ Parallel Fractional Factorial Design

  • Um, Jung-Koog (Korea Institute for Defense Analyses, CPO Box 3089)
  • Published : 1980.06.01
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Abstract

A parallel flats faraction for the $3^n$ factorial experiment is symbolically written as $At = C(r\timesf)$ where $A(r\timesn)$ is of rank r. The A-matrix partitions the nonnegligible effects into $(3^{n-r}-1)/2+1$ alias sets. The $U_i$ effects in the i-th alias set are related pairwise by elements from $S_3$, the symmetric group on three symbols. For each alias set the f flats produce an $f \times u_i$ alias componet permutation matrices (ACPM) with elements from $S_3$. All the information concerning the relationships among levels of the effects is contained in the ACPM.

Keywords

References

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