Construction of optimal fractional Order-of-Addition designs via block designs

Jianbin Chen; Rahul Mukerjee; Dennis K.J. Lin

doi:10.1016/j.spl.2020.108728

Construction of optimal fractional Order-of-Addition designs via block designs

Jianbin Chen^*, Rahul Mukerjee, Dennis K.J. Lin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(≥2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.

Original language	English
Article number	108728
Journal	Statistics and Probability Letters
Volume	161
DOIs	https://doi.org/10.1016/j.spl.2020.108728
Publication status	Published - Jun 2020
Externally published	Yes

Keywords

Balanced incomplete block design
Fractional OofA design
Optimality
Pairwise order model
Systematic combinatorial construction

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10.1016/j.spl.2020.108728

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title = "Construction of optimal fractional Order-of-Addition designs via block designs",

abstract = "Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(≥2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.",

keywords = "Balanced incomplete block design, Fractional OofA design, Optimality, Pairwise order model, Systematic combinatorial construction",

author = "Jianbin Chen and Rahul Mukerjee and Lin, {Dennis K.J.}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = jun,

doi = "10.1016/j.spl.2020.108728",

language = "English",

volume = "161",

journal = "Statistics and Probability Letters",

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TY - JOUR

T1 - Construction of optimal fractional Order-of-Addition designs via block designs

AU - Chen, Jianbin

AU - Mukerjee, Rahul

AU - Lin, Dennis K.J.

PY - 2020/6

Y1 - 2020/6

N2 - Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(≥2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.

AB - Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(≥2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.

KW - Balanced incomplete block design

KW - Fractional OofA design

KW - Optimality

KW - Pairwise order model

KW - Systematic combinatorial construction

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U2 - 10.1016/j.spl.2020.108728

DO - 10.1016/j.spl.2020.108728

M3 - Article

AN - SCOPUS:85079837831

SN - 0167-7152

VL - 161

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

M1 - 108728

ER -

Construction of optimal fractional Order-of-Addition designs via block designs

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Keywords

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