Author | Fedorov, Valerii V. author |
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Title | Model-Oriented Design of Experiments [electronic resource] / by Valerii V. Fedorov, Peter Hackl |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0703-0 |
Descript | VIII, 132 p. online resource |
1 Some Facts From Regression Analysis -- 1.1 The Linear Model -- 1.2 More about the Information Matrix -- 1.3 Generalized Versions of the Linear Regression Model -- 1.4 Nonlinear Models -- 2 Convex Design Theory -- 2.1 Optimality Criteria -- 2.2 Some Properties of Optimality Criteria -- 2.3 Continuous Optimal Designs -- 2.4 The Sensitivity Function and Equivalence Theorems -- 2.5 Some Examples -- 2.6 Complements -- 3 Numerical Techniques -- 3.1 First Order Algorithm:D-criterion -- 3.2 First Order Algorithm: The General Case -- 3.3 Finite Sample Size -- 4 Optimal Design under Constraints -- 4.1 Cost Constraints -- 4.2 Constraints for Auxiliary Criteria -- 4.3 Directly Constrained Design Measures -- 5 Special Cases and Applications -- 5.1 Designs for Time-Dependent Models -- 5.2 Regression Models with Random Parameters -- 5.3 Mixed Models and Correlated Observations -- 5.4 Design for โContaminatedโ Models -- 5.5 Model Discrimination -- 5.6 Nonlinear Regression -- 5.7 Design in Functional. Spaces -- A Some Results from Matrix Algebra -- B List of Symbols -- References