The target of this paper is to provide a compact review of the Optimal Experimental Design, the continuous case. Therefore we are referring to the general nonlinear problem in comparison to the linear one.

March 20, 2015 Type Package Title Population (and Individual) Optimal Experimental Design Version 0.2.0 Depends ggplot2 Imports MASS, mvtnorm, nlme, dplyr, codetools Suggests testthat, Hmisc Description Optimal experimental designs for both population and individual studies based on nonlinear mixed-effect models. Often this is based on a computation of the Fisher Information Matrix (FIM). This ...

Models of a psychological process can be difficult to discriminate experimentally because it is not easy to determine the values of the critical design variables (e.g., presentation schedule, stimulus structure) that will be most informative in differentiating them. Recent developments in sampling-based search methods in statistics make it possible to determine these values and thereby identify...

We consider the problem of estimating a modeling parameter μ using a weighted least squares criterion Jd(y, μ) = ∑n i=1 1 3⁄4(ti) ( y(ti) − f(ti, μ) )2 for given data y by introducing an abstract framework involving generalized measurement procedures characterized by probability measures. We take an optimal design perspective, the general premise (illustrated via examples) being that in any dat...

Process models that are affected by uncertainties need a robust mechanism to account for them in the model based design of experiments (DOE). The aim of this study is to design a set of experiments to estimate the parameters of multiscale kinetic models for the catalytic decomposition of ammonia. Along with uncertainties in the model, the problem is challenging due to constraints on experimenta...

http://dx.doi.org/10.1016/j.commatsci.2016.11.041 0927-0256/ 2016 Elsevier B.V. All rights reserved. ⇑ Corresponding authors at: Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77843, USA (R. Dehghannasiri, E.R. Dougherty), Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA (T. Lookman). E-mail addresses: [email protected]...

In this article we investigate the optimal design problem for some wavelet regression models. Wavelets are very flexible in modeling complex relations, and optimal designs are appealing as a means of increasing the experimental precision. In contrast to the designs for the Haar wavelet regression model (Herzberg and Traves 1994; Oyet and Wiens 2000), the I-optimal designs we construct are diffe...

centralizing and using proper transportation facilities cut down costs and traffic. hub facilities concentrate on flows to cause economic advantage of scale and multimodal transportation helps use the advantage of another transporter. a distinctive feature of this paper is proposing a new mathematical formulation for a three-stage p-hub location routing problem with simultaneous pick-ups and de...

Mathematical models are central in systems biology and provide new ways to understand the function of biological systems, helping in the generation of novel and testable hypotheses, and supporting a rational framework for possible ways of intervention, like in e.g. genetic engineering, drug development or treatment of diseases. Since the amount and quality of experimental 'omics' data continue ...

The construction of optimal experimental designs for regression models requires knowledge of the information matrix of a single observation. The latter can be found if the elemental information matrices corresponding to the distribution of the response are known. We present tables of elemental information matrices for distributions that are often used in statistical work. The tables contain mat...