Partially replicated two-level fractionally factorial designs.

*(English)*Zbl 1059.62083Summary: In a two-level factorial experiment, the authors consider designs with partial duplication which permit estimation of the constant term, all main effects and some specified two-factor interactions, assuming that the other effects are negligible. They construct parallel-flats designs with two identical parallel flats that meet prior specifications; they also consider classes of 3-flat and 4-flat designs. They show that the designs obtained can have a very simple covariance structure and high D-efficiency. They give an algorithm from which they generate a series of practical designs with run sizes 12, 16, 24, and 32.

##### MSC:

62K15 | Factorial statistical designs |

62K05 | Optimal statistical designs |

62Q05 | Statistical tables |

62K10 | Statistical block designs |

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\textit{C.-T. Liao} and \textit{F.-S. Chai}, Can. J. Stat. 32, No. 4, 421--438 (2004; Zbl 1059.62083)

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##### References:

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