MV-Optimality Standardized through the Coefficient of Variation
2007 - J. López-Fidalgo, M. J. Rivas-López
Journal of statistical planning and inference 137, 2666-2680 (2007).
authors IMACI
Many of the usual criteria for optimal experimental designs do not take into account the different scale of the variance of the parameters. Dette [1997. Designing experiments with respect to “standardized” optimality criteria. J. Roy. Statist. Soc. Ser. B Stat. Methodol. 59(1), 97–110] provided a standardization based on the efficiencies for estimating each of the parameters. This approach provides designs with similar efficiencies for all of the parameters. In this paper a new way of standardization through the coefficient of variation is given. This type of standardization is useful when one of the parameters is expected to be very small. Locally standardized through the coefficient of variation MV-optimal designs are computed for linear regression and binary response models.