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Analysis of Orthogonal Saturated Designs

In: Screening

Author

Listed:
  • Daniel T. Voss

    (Wright State University, Department of Mathematics and Statistics)

  • Weizhen Wang

    (Wright State University, Department of Mathematics and Statistics)

Abstract

This chapter provides a review of special methods for analyzing data from screening experiments conducted using regular fractional factorial designs. The methods considered are robust to the presence of multiple nonzero effects. Of special interest are methods that try to adapt effectively to the unknown number of nonzero effects. Emphasis is on the development of adaptive methods of analysis of orthogonal saturated designs that rigorously control Type I error rates of tests or confidence levels of confidence intervals under standard linear model assumptions. The robust, adaptive method of Lenth (1989) is used to illustrate the basic problem. Then nonadaptive and adaptive robust methods of testing and confidence interval estimation known to control error rates are introduced and illustrated. Although the focus is on Type I error rates and orthogonal saturated designs, Type II error rates, nonorthogonal designs, and supersaturated designs are also discussed briefly.

Suggested Citation

  • Daniel T. Voss & Weizhen Wang, 2006. "Analysis of Orthogonal Saturated Designs," Springer Books, in: Angela Dean & Susan Lewis (ed.), Screening, chapter 12, pages 268-286, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-28014-1_12
    DOI: 10.1007/0-387-28014-6_12
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