Optimal multipurpose designs for regression models
- 1 January 1976
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 7 (1) , 51-68
- https://doi.org/10.1080/02331887608801276
Abstract
In this paper multipurpose designs are considered. Therefore the criterion is used to choose a design, where Mm(ξ) are the information matrices of a design ξ for several models. With suitable chosen matrices Amj, a S-optimal design is good for the estimation of parameters in several models at the same time or for the discrimination between two models together with the estimation in the accepted model. Results of A. C. ATKINSON and S. M. STIGLER generalized in this way. For S-optimal designs among others an Equivalence Theorem of the KIEFER-WOLFOWITZ typ is proved and computing methods are given. It should be noticed that the regularity of the information matrices is not used.Keywords
This publication has 4 references indexed in Scilit:
- Experimental design in a class of modelsMathematische Operationsforschung und Statistik, 1974
- Planning experiments to detect inadequate regression modelsBiometrika, 1972
- Optimal Experimental Design for Polynomial RegressionJournal of the American Statistical Association, 1971
- The Equivalence of Two Extremum ProblemsCanadian Journal of Mathematics, 1960