### Abstract

From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 3^{3} factorial design in 18 runs.

Original language | English |
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Pages (from-to) | 3-9 |

Number of pages | 7 |

Journal | Utilitas Mathematica |

Volume | 70 |

Publication status | Published - 2006 Jul 1 |

### Keywords

- Efficiency
- Optimal design
- Orthogonal array

### ASJC Scopus subject areas

- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Statistical isomorphism of three-level fractional factorial designs'. Together they form a unique fingerprint.

## Cite this

Tsai, P. W., Gilmour, S. G., & Mead, R. (2006). Statistical isomorphism of three-level fractional factorial designs.

*Utilitas Mathematica*,*70*, 3-9.