D-optimal and D-efficient equivalent-estimation second-order split-plot designs

H Macharia, PP Goos

Research output: Contribution to journalArticleAcademicpeer-review

24 Citations (Scopus)


Many industrial experiments use split-plot designs as a cost-efficient method of reducing the number of independent settings of hard-to-change factors. Generally, model estimation for split-plot designs requires the use of generalized least squares, but in some cases, ordinary least squares estimates work as well. These equivalent-estimation designs do not require estimation of the variance components in the split-plot model. Alternatively, D-optimal designs provide efficient estimation of the fixed effects of the statistical model. The relationship between these designs for a second-order response surface model is explored, and an algorithm is proposed for generating D-efficient equivalent-estimation split-plot designs.
Original languageEnglish
Pages (from-to)358-372
Number of pages15
JournalJournal of Quality Technology
Issue number4
Publication statusPublished - 2010


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