Parthena I. Katsaounis

Bio: Parthena I. Katsaounis is an academic researcher from Ohio State University. The author has contributed to research in topics: Fractional factorial design & Factorial experiment. The author has an hindex of 1, co-authored 1 publications receiving 6 citations.

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

Abstract: The problems of combinatorial and geometric equivalence of symmetric factorial experiments, as well as characterization and ranking of two-level Split-plot and Splitlot 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.

The Design and Analysis of Experiments

Abstract: THE DESIGN AND ANALYSIS OF EXPERIMENTS. By Oscar Kempthorne. New York, John Wiley and Sons, Inc., 1952. 631 pp. $8.50. This book by a teacher of statistics (as well as a consultant for \"experimenters\") is a comprehensive study of the philosophical background for the statistical design of experiment. It is necessary to have some facility with algebraic notation and manipulation to be able to use the volume intelligently. The problems are presented from the theoretical point of view, without such practical examples as would be helpful for those not acquainted with mathematics. The mathematical justification for the techniques is given. As a somewhat advanced treatment of the design and analysis of experiments, this volume will be interesting and helpful for many who approach statistics theoretically as well as practically. With emphasis on the \"why,\" and with description given broadly, the author relates the subject matter to the general theory of statistics and to the general problem of experimental inference. MARGARET J. ROBERTSON

Experiments: Planning, Analysis, and Parameter Design Optimization

Abstract: THE best adjective to describe this work is \"sweep11 ing.\" The range of subject matter is so broad that it can almost be described as containing everything except fuzzy set theory. Included are explicit discussions of the basics of probability (relegated to an appendix); the practice of problem solving; testing hypotheses about statistical parameters; calculating and interpreting confidence limits; tolerance limits and prediction limits; setting up and interpreting control charts; design of experiments; analysis of variance; line and surface fitting; and maximum likelihood procedures. If you can think of something that is not in this list, then it probably means I have overlooked it.

Minimum Aberration Blocking Schemes for Two-Level and Three-Level Fractional Factorial Designs - eScholarship

Abstract: The concept of minimum aberration has been extended to choose blocked fractional factorial designs (FFDs). The minimum aberration criterion ranks blocked FFDs according to their treatment and block wordlength patterns, which are often obtained by counting words in the treatment defining contrast subgroups and alias sets. When the number of factors is large, there are a huge number of words to be counted, causing some difficulties in computation. Based on coding theory, the concept of minimum moment aberration, proposed by Xu (2003) for unblocked FFDs, is extended to blocked FFDs. A method is then proposed for constructing minimum aberration blocked FFDs without using defining contrast subgroups and alias sets. Minimum aberration blocked FFDs for all 32 runs, 64 runs up to 32 factors, and all 81 runs are given with respect to three combined wordlength patterns.