D-optimal designs for the Mitscherlich non-linear regression function

04/04/2021

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by   Maliheh Heidari, et al.

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Mitscherlich's function is a well-known three-parameter non-linear regression function that quantifies the relation between a stimulus or a time variable and a response. Optimal designs for this function have been constructed only for normally distributed responses with homoscedastic variances. In this paper, we construct D-optimal designs for discrete and continuous responses having their distribution function in the exponential family. We also demonstrate the connection with D-optimality for weighted linear regression.