Abstract
We discuss the problem of optimal allocation of the design points of an experiment for the case where the trials may fail with non-zero probability. Numerical results for D-optimal designs are given for estimating the coefficients of a polynomial regression. For small sample sizes these designs may deviate substantially from the corresponding designs in the case of certain response. They can be less efficient, but are less affected by failing trials.
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References
Hedayat, A.S. and Majumdar, D. (1984). Redesigning Experiments, pp. 113 - 140 in A.M. Abouammoh, E. El-Neweihi, E. Aly, M.A. Alosh, (Eds.), Developments in Statistics and Its Applications. Proceedings of the First Saudi Symposium on Statistics and Its Applications. Riyadh: King Saud University Library.
Das, A. and Sinha, B.K. (1994). Optimal Allocation of Observations Under Experimental Constraints: Resources Scarcity and External Forces Intervention. Research Report, Indian Statistical Institute, Calcutta.
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© 1995 Springer-Verlag Berlin Heidelberg
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Hackl, P. (1995). Optimal Design for Experiments with Potentially Failing Trials. In: Kitsos, C.P., Müller, W.G. (eds) MODA4 — Advances in Model-Oriented Data Analysis. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12516-8_12
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DOI: https://doi.org/10.1007/978-3-662-12516-8_12
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0864-3
Online ISBN: 978-3-662-12516-8
eBook Packages: Springer Book Archive