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August 1999 Some theoretical results for fractional factorial split-plot designs
D. R. Bingham, R. R. Sitter
Ann. Statist. 27(4): 1240-1255 (August 1999). DOI: 10.1214/aos/1017938924

Abstract

Fractional factorial (FF) designs are commonly used in industrial ex-periments to identify factors affecting a process. When it is expensive or difficult to change the levels of some of the factors, fractional factorial split-plot (FFSP) designs represent a practical design option. Though FFSP de-sign matrices correspond to FF design matrices, the randomization struc-ture of the FFSP design is different. In this paper, we discuss the impact of randomization restrictions on the choice of FFSP designs and develop theoretical results. Some of these results are very closely related to those available for FF designs while others are more specific to FFSP designs and are more useful in practice. We pay particular attention to the min-imum aberration criterion (MA) and emphasize the differences between FFSP and FF designs.

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D. R. Bingham. R. R. Sitter. "Some theoretical results for fractional factorial split-plot designs." Ann. Statist. 27 (4) 1240 - 1255, August 1999. https://doi.org/10.1214/aos/1017938924

Information

Published: August 1999
First available in Project Euclid: 4 April 2002

zbMATH: 0957.62065
MathSciNet: MR1740112
Digital Object Identifier: 10.1214/aos/1017938924

Subjects:
Primary: 62K15
Secondary: 05B20

Keywords: Defining contrast subgroup , Hadamard matrix , maximum resolution , minimum aberration , randomization restriction

Rights: Copyright © 1999 Institute of Mathematical Statistics

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Vol.27 • No. 4 • August 1999
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