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On the number of D-optimal designs
The main result of the paper is the theorem: For \(n=18\), there are precisely three essentially different matrices with elements \(\pm 1\) having the maximum determinant. Only one of these is of the circulant type, but all are of the skew type. This means that there are three \(D\)-optimal designs for \(n=18\).
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Let \(g(n)\) (resp. \(\gamma(n)\)) be the maximum absolute value of the determinant of all \(n\times n\) matrices whose entries are from \(\{1,-1\}\) (resp. \(\{1,-1,i,-i\})\). The following theorems are proved: (1) \(g(2m)\geq 2^m(\gamma(m))^2\), with equality iff there exists a matrix of the form \((\begin{smallmatrix} A & B\\ -B & A\end{smallmatrix})
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In article the problem of construction exact D-optimal designs of experiments for linear multiple regression in a case when variance of errors of observations depend on a point in which is made is investigated.
Valery P. Kirlitsa
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Being Uncertain in Chromatographic Calibration—Some Unobvious Details in Experimental Design
This is an introductory tutorial and review about the uncertainty problem in chromatographic calibration. It emphasizes some unobvious, but important details influencing errors in the calibration curve estimation, uncertainty in prediction, as well as ...
Łukasz Komsta +2 more
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D-optimal saturated designs for main effects and interactions in 2k-factorial experiments
In a [Formula: see text]-factorial experiment with limited resources, when practitioners can identify the non-negligible effects and interactions beforehand, it is common to run an experiment with a saturated design that ensures the unbiased estimation ...
Francois K. Domagni +2 more
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A D-optimal design of order 102
The author describes a computer search to construct a \(D\)-optimal design of order 102.
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D-optimal designs for multinomial logistic models [PDF]
We consider optimal designs for general multinomial logistic models, which cover baseline-category, cumulative, adjacent-categories, and continuation-ratio logit models, with proportional odds, non-proportional odds, or partial proportional odds assumption.
Bu, Xianwei, Majumdar, Dibyen, Yang, Jie
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Delineamentos experimentais eficientes para estudos de cinética química
In this paper we show how to obtain efficient designs of experiments for fitting Michaelis-Menten and Hill equations useful in chemical studies. The search of exact D-optimal designs by using local and pseudo-Bayesian approaches is considered.
Iuri E. P. Ferreira +2 more
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ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
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Neubauer, Michael G. +2 more
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