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arXiv · 2104.01573

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

Maliheh Heidari·Md Abu Manju·Pieta C. IJzerman-Boon·Edwin R. van den Heuvel
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Abstract

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.

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Maliheh Heidari, Md Abu Manju, Pieta C. IJzerman-Boon, Edwin R. van den Heuvel. 2021-04-04. D-optimal designs for the Mitscherlich non-linear regression function. https://arxiv.org/abs/2104.01573

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