Abstract
In this paper we propose a modification of the Loughin–Noble permutation test of significance of factorial effects for unreplicated orthogonal factorial designs, Loughin and Noble (Technometrics 39(2):180–190, 1997), when orthogonal factorial designs are replaced by D-optimal saturated designs. We also propose a new permutation mechanism that uses nonisomorphic D-optimal designs instead of permutations to generate the reference distribution. The results of a simulation study are also presented in order to evaluate the behaviour of the proposed method both under H 0 and in power.
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Fontana, R., Salmaso, L. (2014). Nonparametric Testing of Saturated D-optimal Designs. In: Melas, V., Mignani, S., Monari, P., Salmaso, L. (eds) Topics in Statistical Simulation. Springer Proceedings in Mathematics & Statistics, vol 114. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2104-1_18
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DOI: https://doi.org/10.1007/978-1-4939-2104-1_18
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