Title: Robust designs for toxicological test
Authors: Sergio Pozuelo Campos - University of Castilla-La Mancha (Spain) [presenting]
Mariano Amo-Salas - University of Castilla-La Mancha (Spain)
Victor Casero-Alonso - University of Castilla-La Mancha (Spain)
Abstract: Toxicological tests are widely used to study toxicity in aquatic environments. Reproduction is a possible endpoint of this type of experiment and in this case, the response variable is counts. There exists literature about the suitable probability distribution that should be considered for analysing these data. In the theory of optimal experimental design, the assumption of this probability distribution is essential and when this assumption is not adequate, there may be a loss of efficiency in the design obtained. The main objective is to propose robust designs when there is uncertainty about the probability distribution of the response variable. The results have been applied to toxicological tests based on Ceriodaphnia Dubia and Lemna Minor, in addition to testing the properties of the designs obtained a simulation study is performed.