Balanced Asymmetrical Nearly Orthogonal Designs for First and Second Order Effect Estimation

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Abstract

A method for constructing asymmetrical (mixed-level) designs, satisfying the balancing and interaction estimability requirements with a number of runs as small as possible, is proposed in this paper. The method, based on a heuristic procedure, uses a new optimality criterion formulated here. The proposed method demonstrates efficiency in terms of searching time and optimality of the attained designs. A complete collection of such asymmetrical designs with two- and three-level factors is available. A technological application is also presented.
Lingua originaleEnglish
pagine (da-a)373-386
Numero di pagine14
RivistaJournal of Applied Statistics
Volume33
Stato di pubblicazionePublished - 2006

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Orthogonal Design
First-order
Estimability
Optimality Criteria
Balancing
Optimality
Heuristics
Requirements
Interaction
Demonstrate
Design
Order effects

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cita questo

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title = "Balanced Asymmetrical Nearly Orthogonal Designs for First and Second Order Effect Estimation",
abstract = "A method for constructing asymmetrical (mixed-level) designs, satisfying the balancing and interaction estimability requirements with a number of runs as small as possible, is proposed in this paper. The method, based on a heuristic procedure, uses a new optimality criterion formulated here. The proposed method demonstrates efficiency in terms of searching time and optimality of the attained designs. A complete collection of such asymmetrical designs with two- and three-level factors is available. A technological application is also presented.",
author = "Alberto Lombardo and Stefano Barone",
year = "2006",
language = "English",
volume = "33",
pages = "373--386",
journal = "Journal of Applied Statistics",
issn = "0266-4763",
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AU - Lombardo, Alberto

AU - Barone, Stefano

PY - 2006

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N2 - A method for constructing asymmetrical (mixed-level) designs, satisfying the balancing and interaction estimability requirements with a number of runs as small as possible, is proposed in this paper. The method, based on a heuristic procedure, uses a new optimality criterion formulated here. The proposed method demonstrates efficiency in terms of searching time and optimality of the attained designs. A complete collection of such asymmetrical designs with two- and three-level factors is available. A technological application is also presented.

AB - A method for constructing asymmetrical (mixed-level) designs, satisfying the balancing and interaction estimability requirements with a number of runs as small as possible, is proposed in this paper. The method, based on a heuristic procedure, uses a new optimality criterion formulated here. The proposed method demonstrates efficiency in terms of searching time and optimality of the attained designs. A complete collection of such asymmetrical designs with two- and three-level factors is available. A technological application is also presented.

UR - http://hdl.handle.net/10447/30027

M3 - Article

VL - 33

SP - 373

EP - 386

JO - Journal of Applied Statistics

JF - Journal of Applied Statistics

SN - 0266-4763

ER -