D-optimal designs for the Mitscherlich non-linear regression function
Statistics Theory
2021-04-06 v1 Applications
Statistics Theory
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.
Keywords
Cite
@article{arxiv.2104.01573,
title = {D-optimal designs for the Mitscherlich non-linear regression function},
author = {Maliheh Heidari and Md Abu Manju and Pieta C. IJzerman-Boon and Edwin R. van den Heuvel},
journal= {arXiv preprint arXiv:2104.01573},
year = {2021}
}
Comments
23 pages, 2 tables