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Detecting active effects in unreplicated designs

Author

Listed:
  • P. Angelopoulos
  • C. Koukouvinos

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.

Suggested Citation

  • P. Angelopoulos & C. Koukouvinos, 2008. "Detecting active effects in unreplicated designs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(3), pages 277-281.
  • Handle: RePEc:taf:japsta:v:35:y:2008:i:3:p:277-281
    DOI: 10.1080/02664760701833008
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    References listed on IDEAS

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    1. Wisnowski, James W. & Montgomery, Douglas C. & Simpson, James R., 2001. "A Comparative analysis of multiple outlier detection procedures in the linear regression model," Computational Statistics & Data Analysis, Elsevier, vol. 36(3), pages 351-382, May.
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