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arXiv · 2009.08853

A note on optimal designs for estimating the slope of a polynomial regression

Holger Dette·Viatcheslav B. Melas·Petr Shpilev
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Abstract

In this note we consider the optimal design problem for estimating the slope of a polynomial regression with no intercept at a given point, say z. In contrast to previous work, which considers symmetric design spaces we investigate the model on the interval $[0, a]$ and characterize those values of $z$, where an explicit solution of the optimal design is possible.

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Holger Dette, Viatcheslav B. Melas, Petr Shpilev. 2020-09-18. A note on optimal designs for estimating the slope of a polynomial regression. https://arxiv.org/abs/2009.08853

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