The sequential generation of multiresponse d-optimal designs when the variance-covariance matrix is not known

Manel Cooray-Wijesinha; Andre' I. Khuri

doi:10.1080/03610918708812589

The sequential generation of multiresponse d-optimal designs when the variance-covariance matrix is not known

Manel Cooray-Wijesinha, Andre' I. Khuri

Penn State York

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

14 Scopus citations

Abstract

The construction of D-optimal designs for multiresponse experiments was considered by Fedorov (1972, Ch. 5). His algorithm required that the variance-covariance matrix, E, of the responses be known. This is rarely the case in practice. The primary objective of this paper is to develop a sequential procedure for the construction of multiresponse designs when Σ is not known. Several numerical examples are given to illustrate this procedure.

Original language	English (US)
Pages (from-to)	239-259
Number of pages	21
Journal	Communications in Statistics - Simulation and Computation
Volume	16
Issue number	1
DOIs	https://doi.org/10.1080/03610918708812589
State	Published - Jan 1 1987

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modeling and Simulation

Access to Document

10.1080/03610918708812589

Fingerprint Dive into the research topics of 'The sequential generation of multiresponse d-optimal designs when the variance-covariance matrix is not known'. Together they form a unique fingerprint.

Cite this

@article{8e58ac01cea94be2acc75dad4eacbf5a,

title = "The sequential generation of multiresponse d-optimal designs when the variance-covariance matrix is not known",

abstract = "The construction of D-optimal designs for multiresponse experiments was considered by Fedorov (1972, Ch. 5). His algorithm required that the variance-covariance matrix, E, of the responses be known. This is rarely the case in practice. The primary objective of this paper is to develop a sequential procedure for the construction of multiresponse designs when Σ is not known. Several numerical examples are given to illustrate this procedure.",

author = "Manel Cooray-Wijesinha and Khuri, {Andre' I.}",

year = "1987",

month = jan,

day = "1",

doi = "10.1080/03610918708812589",

language = "English (US)",

volume = "16",

pages = "239--259",

journal = "Communications in Statistics Part B: Simulation and Computation",

issn = "0361-0918",

publisher = "Taylor and Francis Ltd.",

number = "1",

}

TY - JOUR

T1 - The sequential generation of multiresponse d-optimal designs when the variance-covariance matrix is not known

AU - Cooray-Wijesinha, Manel

AU - Khuri, Andre' I.

PY - 1987/1/1

Y1 - 1987/1/1

N2 - The construction of D-optimal designs for multiresponse experiments was considered by Fedorov (1972, Ch. 5). His algorithm required that the variance-covariance matrix, E, of the responses be known. This is rarely the case in practice. The primary objective of this paper is to develop a sequential procedure for the construction of multiresponse designs when Σ is not known. Several numerical examples are given to illustrate this procedure.

AB - The construction of D-optimal designs for multiresponse experiments was considered by Fedorov (1972, Ch. 5). His algorithm required that the variance-covariance matrix, E, of the responses be known. This is rarely the case in practice. The primary objective of this paper is to develop a sequential procedure for the construction of multiresponse designs when Σ is not known. Several numerical examples are given to illustrate this procedure.

UR - http://www.scopus.com/inward/record.url?scp=1842553584&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1842553584&partnerID=8YFLogxK

U2 - 10.1080/03610918708812589

DO - 10.1080/03610918708812589

M3 - Article

AN - SCOPUS:1842553584

VL - 16

SP - 239

EP - 259

JO - Communications in Statistics Part B: Simulation and Computation

JF - Communications in Statistics Part B: Simulation and Computation

SN - 0361-0918

IS - 1

ER -