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Partially replicated two-level fractionally factorial designs. (English) Zbl 1059.62083
Summary: 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.

62K15 Factorial statistical designs
62K05 Optimal statistical designs
62Q05 Statistical tables
62K10 Statistical block designs
Full Text: DOI
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