Abstract
For multivariate observations with seemingly unrelated variables product-type designs often turn out to be optimal which are generated by their univariate optimal counterparts. This is, in particular, the case when all variables contain an intercept term. If these intercepts are missing, the product-type designs may lose their optimality when the correlation between the components becomes stronger.
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References
Atkinson AC, Donev AN, Tobias RD (2007) Optimum experimental design, with SAS. Oxford University Press, Oxford
Fedorov VV (1972) Theory of optimal experiments. Academic Press, New York
Kiefer J (1974) General equivalence theory for optimum designs (approximate theory). Ann Appl Stat 2:849–879
Kurotschka VG, Schwabe R (1996) The reduction of design problems for multivariate experiments to univariate possibilities and their limitations. In: Brunner E, Denker M (eds) Research developments in probability and statistics. VSP, Utrecht, pp 193–204
Schwabe R (1996) Optimum designs for multi-factor models. Springer, New York
Soumaya M (2013) Optimal designs for multivariate linear models. Dissertation, Otto-von-Guericke University Magdeburg, Faculty of Mathematics
Soumaya M, Schwabe R (2011) D-optimal design for a seemingly unrelated linear model. In: Melas V, Nachtmann G, Rasch D (eds) Optimal design of experiments – theory and application. University of Natural Resources and Life Sciences, Vienna, pp 170–174.
Zellner A (1962) An efficient method of estimating seemingly unrelated regression equations and tests for aggregation bias. J Am Stat Assoc 57:348–368
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Soumaya, M., Schwabe, R. (2015). On the Impact of Correlation on the Optimality of Product-Type Designs in SUR Models. In: Steland, A., Rafajłowicz, E., Szajowski, K. (eds) Stochastic Models, Statistics and Their Applications. Springer Proceedings in Mathematics & Statistics, vol 122. Springer, Cham. https://doi.org/10.1007/978-3-319-13881-7_18
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DOI: https://doi.org/10.1007/978-3-319-13881-7_18
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