Some new three-level orthogonal main effects plans robust to model uncertainty

Pi Wen Tsai, Steven G. Gilmour, Roger Mead

Research output: Contribution to journalArticle

8 Citations (Scopus)


In this paper, we list some new orthogonal main effects plans for three-level designs for 4, 5 and 6 factors in 18 runs and compare them with designs obtained from the existing L 18, orthogonal array. We show that these new designs have better projection properties and can provide better parameter estimates for a range of possible models. Additionally, we study designs in other smaller run-sizes when there are insufficient resources to perform an 18-run experiment. Plans for three-level designs for 4, 5 and 6 factors in 13 to 17 runs are given. We show that the best designs here are efficient and deserve strong consideration in many practical situations.

Original languageEnglish
Pages (from-to)1075-1084
Number of pages10
JournalStatistica Sinica
Issue number4
Publication statusPublished - 2004 Oct
Externally publishedYes



  • Factor screening
  • Fold-over designs
  • Fractional replicate
  • Orthogonal array
  • Projection

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

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