Optimal designs for thermal spraying
Dette, H. and Hoyden, L. and Kuhnt, S. and Schorning, K.
JOURNAL OF THE ROYAL STATISTICAL SOCIETY. SERIES C: APPLIED STATISTICS
Volume: 66 Pages: 53-72
We consider the problem of designing additional experiments to update statistical models for latent day specific effects. The problem appears in thermal spraying, where particles are sprayed on surfaces to obtain a coating. The relationships between in-flight properties of the particles and the controllable variables are modelled by generalized linear models. However, there are also non-controllable variables, which may vary from day to day and are modelled by day-specific additive effects. Existing generalized linear models for properties of the particles in flight must be updated on a limited number of additional experiments on a different day. We develop robust D-optimal designs to collect additional data for an update of the day effects, which are efficient for the estimation of the parameters in all models under consideration. The results are applied to the thermal spraying process and a comparison of the statistical analysis based on a reference design as well as on a selected Bayesian D-optimal design is performed. © 2016 Royal Statistical Society