1970
DOI: 10.1080/00401706.1970.10488730
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On Practical Use of the Concept of D-Optimality

Abstract: The purpose of this article is to review the possibility of practical use of the concept of D-optimality in response surface design. Second order quasi-D-optimum designs on a cube have been built and their high efficiency proved. Using the computer, a number of different second order response surface designs, previously built, have been compared. It has been proved that the D-optimum concept, being more general than the rotatable one, can be used as the theoretical basis for building and comparing response sur… Show more

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Cited by 28 publications
(7 citation statements)
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“…Hence, by maximizing the determinant of the Fisher information matrix, we obtain the smallest volume for the Wald-type joint confidence region and thus the highest join precision of the model parameter estimators (Han & Ng, 2013). For more details, see Nalimov, Golikov, and Mikeshina (1970) and Montgomery (2013 (5)), the MLE is a/α, and follows a normal distribution, N a/α, Var(a/α) , asymptotically. The asymptotic variance can be obtained by using the Deltamethod (Meeker & Escobar, 1998), pages 619-620), i.e.,…”
Section: Fisher Information Matrix and Optimization Criteriamentioning
confidence: 98%
“…Hence, by maximizing the determinant of the Fisher information matrix, we obtain the smallest volume for the Wald-type joint confidence region and thus the highest join precision of the model parameter estimators (Han & Ng, 2013). For more details, see Nalimov, Golikov, and Mikeshina (1970) and Montgomery (2013 (5)), the MLE is a/α, and follows a normal distribution, N a/α, Var(a/α) , asymptotically. The asymptotic variance can be obtained by using the Deltamethod (Meeker & Escobar, 1998), pages 619-620), i.e.,…”
Section: Fisher Information Matrix and Optimization Criteriamentioning
confidence: 98%
“…In fact, the only exception, at least in the USSR and in Russia, is the ancient classic edition on the theory of experimental design [7]. But the tools offered are focused on research and noncomputerized operations for the formation of management decisions.…”
Section: Forerunners and The Applicability Of Their Developmentsmentioning
confidence: 99%
“…Correspondingly, a decision was made considering the research in the field of factor planning, random planning, etc. [6], [7] to form the considered algorithm as a three-stage that includes the following procedural steps [8]:…”
Section: Decomposition Of the Algorithmmentioning
confidence: 99%
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“…Box, citado por NALIMOV et alii (8), mostrou que é possível construir delineamentos que sejam, ao mesmo tempo, ortogonais e rotacionais. Contudo, segundo o autor citado, é impossível manter as duas propriedades, simultaneamente, para delineamentos de segunda e terceira ordem.…”
Section: Introductionunclassified