Theory of Optimal ExperimentsAcademic Press, 1972 - 292 pages Regression analysis and optimality criteria for regression experiments. Continuous optimal designs (statistical methods). Properties and methods of construction for optimal discrete designs. Sequential methods of designing experiments for refining and determining estimates of the parameters. Design of experiments in the case of simultaneous observation of several random quantities. Discriminating experiments. Generalized criteria of optimality. |
Table des matières
Contents | 9 |
Chapter 6Discriminating Experiments | 10 |
3 | 23 |
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Expressions et termes fréquents
accuracy allocation analogous analytic form assume asymptotic optimality best linear estimate computation condition consider continuous D-optimal designs control variables converges convex convex set Corollary corresponding covariance matrix criteria of optimality definition depends design &(N design ẽ design minimizing design of experiments determinant dimension discrete designs discrete optimal dispersion matrix Du(N efficiency function equal equation estimator Ô example factor space follows formula given hypotheses inequality information matrix investigated iterative method iterative procedure Lemma linear combination linear-optimal designs loss function mathematical matrix M(e measurements methods minimax N₁ necessary nondegenerate design number of observations number of points number of unknown obtain polynomial positive-definite matrix positive-semidefinite matrix possible Proof properties quadratic form quantity region region X regression analysis response surface satisfied Section sequential design sought parameters spectrum sufficient theorem is proved tion Tr D(e unknown parameters y₁