Construction of optimal designs to increase the power of the multiresponse lack of fit test

M. Cooray Wijesinha; AndréI I. Khuri

doi:10.1016/0378-3758(87)90067-X

Construction of optimal designs to increase the power of the multiresponse lack of fit test

M. Cooray Wijesinha, AndréI I. Khuri

Penn State York

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

5 Scopus citations

Abstract

Two design criteria are introduced to improve the power of the multivariate lack of fit test for a linear multiresponse model. These criteria are extensions of the Λ₁ and Λ₂-optimality criteria discussed by Jones and Mitchell (1978) for the single-response case. A procedure is presented for the generation of an optimal design based on the Λ₂-criterion.

Original language	English (US)
Pages (from-to)	179-192
Number of pages	14
Journal	Journal of Statistical Planning and Inference
Volume	16
Issue number	C
DOIs	https://doi.org/10.1016/0378-3758(87)90067-X
State	Published - 1987

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/0378-3758(87)90067-X

Cite this

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title = "Construction of optimal designs to increase the power of the multiresponse lack of fit test",

abstract = "Two design criteria are introduced to improve the power of the multivariate lack of fit test for a linear multiresponse model. These criteria are extensions of the Λ1 and Λ2-optimality criteria discussed by Jones and Mitchell (1978) for the single-response case. A procedure is presented for the generation of an optimal design based on the Λ2-criterion.",

author = "{Cooray Wijesinha}, M. and Khuri, {Andr{\'e}I I.}",

note = "Funding Information: The author would like to thank the Editor and two referees for their helpful suggestions which improved the presentation of this paper. This research was partially supported by the Office of Naval Research under Grant No. N00014-86-K-0059. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1987",

doi = "10.1016/0378-3758(87)90067-X",

language = "English (US)",

volume = "16",

pages = "179--192",

journal = "Journal of Statistical Planning and Inference",

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T1 - Construction of optimal designs to increase the power of the multiresponse lack of fit test

AU - Cooray Wijesinha, M.

AU - Khuri, AndréI I.

N1 - Funding Information: The author would like to thank the Editor and two referees for their helpful suggestions which improved the presentation of this paper. This research was partially supported by the Office of Naval Research under Grant No. N00014-86-K-0059. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1987

Y1 - 1987

N2 - Two design criteria are introduced to improve the power of the multivariate lack of fit test for a linear multiresponse model. These criteria are extensions of the Λ1 and Λ2-optimality criteria discussed by Jones and Mitchell (1978) for the single-response case. A procedure is presented for the generation of an optimal design based on the Λ2-criterion.

AB - Two design criteria are introduced to improve the power of the multivariate lack of fit test for a linear multiresponse model. These criteria are extensions of the Λ1 and Λ2-optimality criteria discussed by Jones and Mitchell (1978) for the single-response case. A procedure is presented for the generation of an optimal design based on the Λ2-criterion.

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U2 - 10.1016/0378-3758(87)90067-X

DO - 10.1016/0378-3758(87)90067-X

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AN - SCOPUS:0001010152

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EP - 192

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - C

ER -

Construction of optimal designs to increase the power of the multiresponse lack of fit test

Abstract

All Science Journal Classification (ASJC) codes

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