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Three Parallel Flats Designs for Two‐level Factorial Experiments
Author(s) -
Chai F.S.,
Liao C.T.
Publication year - 2001
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/1467-842x.00159
Subject(s) - mathematics , factorial experiment , factorial , estimator , fractional factorial design , class (philosophy) , plackett–burman design , simple (philosophy) , statistics , mathematical analysis , response surface methodology , computer science , philosophy , epistemology , artificial intelligence
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.