Definitive screening designs with extreme numbers of level changes

Yaping Wang; Mingyao Ai

doi:10.1016/j.spl.2017.08.002

Definitive screening designs with extreme numbers of level changes

Yaping Wang
, Mingyao Ai^*

^*Corresponding author for this work

Peking University

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

1 Scopus citations

Abstract

For the newly proposed definitive screening designs, we show that, among all possible run orders, the extreme values of level changes depend only on the number of factors, and the corresponding designs can be characterized through some necessary and sufficient conditions. Systematic designs with minimum or maximum level changes are constructed for practical use.

Original language	English
Pages (from-to)	13-18
Number of pages	6
Journal	Statistics and Probability Letters
Volume	131
DOIs	https://doi.org/10.1016/j.spl.2017.08.002
State	Published - Dec 2017
Externally published	Yes

Keywords

Conference matrices
D-efficiency
Foldover
Level changes
Minimum cost
Time trend

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10.1016/j.spl.2017.08.002

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title = "Definitive screening designs with extreme numbers of level changes",

abstract = "For the newly proposed definitive screening designs, we show that, among all possible run orders, the extreme values of level changes depend only on the number of factors, and the corresponding designs can be characterized through some necessary and sufficient conditions. Systematic designs with minimum or maximum level changes are constructed for practical use.",

keywords = "Conference matrices, D-efficiency, Foldover, Level changes, Minimum cost, Time trend",

author = "Yaping Wang and Mingyao Ai",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

month = dec,

doi = "10.1016/j.spl.2017.08.002",

language = "英语",

volume = "131",

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TY - JOUR

T1 - Definitive screening designs with extreme numbers of level changes

AU - Wang, Yaping

AU - Ai, Mingyao

PY - 2017/12

Y1 - 2017/12

N2 - For the newly proposed definitive screening designs, we show that, among all possible run orders, the extreme values of level changes depend only on the number of factors, and the corresponding designs can be characterized through some necessary and sufficient conditions. Systematic designs with minimum or maximum level changes are constructed for practical use.

AB - For the newly proposed definitive screening designs, we show that, among all possible run orders, the extreme values of level changes depend only on the number of factors, and the corresponding designs can be characterized through some necessary and sufficient conditions. Systematic designs with minimum or maximum level changes are constructed for practical use.

KW - Conference matrices

KW - D-efficiency

KW - Foldover

KW - Level changes

KW - Minimum cost

KW - Time trend

UR - https://www.scopus.com/pages/publications/85028983804

U2 - 10.1016/j.spl.2017.08.002

DO - 10.1016/j.spl.2017.08.002

M3 - 文章

AN - SCOPUS:85028983804

SN - 0167-7152

VL - 131

SP - 13

EP - 18

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

ER -

Definitive screening designs with extreme numbers of level changes

Abstract

Keywords

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