Projection properties of plackett and burrnan designs

Dennis K.J. Lin; Norman R. Draper

doi:10.1080/00401706.1992.10484953

Projection properties of plackett and burrnan designs

Dennis K.J. Lin, Norman R. Draper

Statistics

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133 Scopus citations

Abstract

The projection properties of the 2q, mpf ractional factorials are well known and have been used effectively in a number of published examples of experimental investigations. The Plackett and Burman designs also have interesting projective properties, knowledge of which allows the experimenter to follow up an initial Plackett and Burman design with runs that increase the initial resolution for the factors that appear to matter and thus permit efficient separation of effects of interest. Projections of designs into 2-5 dimensions are discussed, and the 12-run case is given in detail. A numerical example illustrates the practical uses of these projections.

Original language	English (US)
Pages (from-to)	423-428
Number of pages	6
Journal	Technometrics
Volume	34
Issue number	4
DOIs	https://doi.org/10.1080/00401706.1992.10484953
State	Published - Nov 1992

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1080/00401706.1992.10484953

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title = "Projection properties of plackett and burrnan designs",

abstract = "The projection properties of the 2q, mpf ractional factorials are well known and have been used effectively in a number of published examples of experimental investigations. The Plackett and Burman designs also have interesting projective properties, knowledge of which allows the experimenter to follow up an initial Plackett and Burman design with runs that increase the initial resolution for the factors that appear to matter and thus permit efficient separation of effects of interest. Projections of designs into 2-5 dimensions are discussed, and the 12-run case is given in detail. A numerical example illustrates the practical uses of these projections.",

author = "Lin, {Dennis K.J.} and Draper, {Norman R.}",

note = "Funding Information: N. R. Draper gratefully acknowledges partial support from the National Science Foundation under Grant DMS-8900426 and from the Wisconsin Alumni Research Foundation through the Graduate School, University of Wisconsin. D. K. J. Lin was partially supported by a Faculty Research Fellowship through the College of Business Administration, University of Tennessee. We are very grateful to the editor, the associate editor, and the referees for a number of pertinent and thoughtful comments.",

year = "1992",

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doi = "10.1080/00401706.1992.10484953",

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AU - Lin, Dennis K.J.

AU - Draper, Norman R.

N1 - Funding Information: N. R. Draper gratefully acknowledges partial support from the National Science Foundation under Grant DMS-8900426 and from the Wisconsin Alumni Research Foundation through the Graduate School, University of Wisconsin. D. K. J. Lin was partially supported by a Faculty Research Fellowship through the College of Business Administration, University of Tennessee. We are very grateful to the editor, the associate editor, and the referees for a number of pertinent and thoughtful comments.

PY - 1992/11

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N2 - The projection properties of the 2q, mpf ractional factorials are well known and have been used effectively in a number of published examples of experimental investigations. The Plackett and Burman designs also have interesting projective properties, knowledge of which allows the experimenter to follow up an initial Plackett and Burman design with runs that increase the initial resolution for the factors that appear to matter and thus permit efficient separation of effects of interest. Projections of designs into 2-5 dimensions are discussed, and the 12-run case is given in detail. A numerical example illustrates the practical uses of these projections.

AB - The projection properties of the 2q, mpf ractional factorials are well known and have been used effectively in a number of published examples of experimental investigations. The Plackett and Burman designs also have interesting projective properties, knowledge of which allows the experimenter to follow up an initial Plackett and Burman design with runs that increase the initial resolution for the factors that appear to matter and thus permit efficient separation of effects of interest. Projections of designs into 2-5 dimensions are discussed, and the 12-run case is given in detail. A numerical example illustrates the practical uses of these projections.

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Projection properties of plackett and burrnan designs

Abstract

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