Three Parallel Flats Designs for Two-level Factorial Experiments
This paper investigates the properties of the class of three parallel flats designs for two-level factorial experiments. It shows that the designs constructed from this class of designs can have a very simple correlation structure. The correlation of any pair of best linear unbiased estimators of factorial effects is 0, ⅓ or ¼. Furthermore, the designs obtained also have high D-efficiency. Finally, a class of designs is generated with run-size N= 12 to illustrate the use of the theorem.
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Document Type: Research Article
Affiliations: 1: Institute of Statistical Science, Academia Sinica, Taipei, Taiwan, 2: Division of Biometry, Institute of Agronomy, National Taiwan University, Taipei, Taiwan
Publication date: March 1, 2001