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Equivalence of symmetric factorial designs and characterization and ranking of two-level Split-lot designs

Katsaounis, Parthena I.
http://rave.ohiolink.edu/etdc/view?acc_num=osu1164176825

Abstract Details

2006, Doctor of Philosophy, Ohio State University, Statistics.
The problems of combinatorial and geometric equivalence of symmetric factorial experiments, as well as characterization and ranking of two-level Split-plot and Split-lot designs are considered. Two fractional factorial symmetric designs with qualitative factors are said to be combinatorially equivalent if one can be obtained from the other by reordering the runs, relabeling the factors and relabeling factor levels. If the only permissible relabeling of factors levels is reversal of symbols, geometric equivalence is obtained. Existing criteria for detecting combinatorial and geometric equivalence or non-equivalence of symmetric factorial designs are described and evaluated via computer algorithms. Some new necessary and sufficient criteria for both types of equivalence are presented. All results generalize to designs with factors having different number of levels. A characterization method for two-level Split-plot and Split-lot designs based on nonregular fractional factorial designs is given. As an application, a new ranking method is proposed for general two-level Split-plot and Split-lot designs which suggests that existing ranking criteria overlook some aspects of the designs.
Angela Dean (Advisor)
Statistics
experimental design; factorial design; equivalence; Split-plot design; Split-lot design

Recommended Citations

Citations

  • Katsaounis, P. I. (2006). Equivalence of symmetric factorial designs and characterization and ranking of two-level Split-lot designs [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1164176825

    APA Style (7th edition)

  • Katsaounis, Parthena. Equivalence of symmetric factorial designs and characterization and ranking of two-level Split-lot designs. 2006. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1164176825.

    MLA Style (8th edition)

  • Katsaounis, Parthena. "Equivalence of symmetric factorial designs and characterization and ranking of two-level Split-lot designs." Doctoral dissertation, Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1164176825

    Chicago Manual of Style (17th edition)

osu1164176825
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© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.