Detecting active effects in unreplicated designs

P. Angelopoulos and C. Koukouvinos

Journal of Applied Statistics, 2008, vol. 35, issue 3, pages 277-281

Abstract: Unreplicated factorial designs pose a difficult problem in analysis because there are no degrees of freedom left to estimate the error. Daniel [Technometrics 1 (1959), pp. 311-341] proposed an ingenious graphical method that does not require σ to be estimated. Here we try to put Daniel's method into a formal framework and lift the subjectiveness that carries. A simulation study has been conducted that shows that the proposed method behaves better than Lenth's [Technometrics 31 (1989), pp. 469-473] popular method.

Keywords: unreplicated design; factorial; effect; outliers (search for similar items in EconPapers)

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