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Constructing c-Optimal Designs for Polynomial Regression without an Intercept

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Abstract

In this paper, we consider the problem of constructing c-optimal designs for polynomial regression without an intercept. The special case of c = f '(z) (i.e., the vector of derivatives of the regression functions at some point z is selected as vector c) is considered. The analytical results available in the literature are briefly reviewed. An effective numerical method for finding f '(z)-optimal designs in cases in which an analytical solution cannot be constructed is proposed.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-01-00096-a.

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    V. B. Melas & P. V. Shpilev

Authors
  1. V. B. Melas
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  2. P. V. Shpilev
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Correspondence to V. B. Melas or P. V. Shpilev.

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Translated by A. Ivanov

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Melas, V.B., Shpilev, P.V. Constructing c-Optimal Designs for Polynomial Regression without an Intercept. Vestnik St.Petersb. Univ.Math. 53, 223–231 (2020). https://doi.org/10.1134/S1063454120020120

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  • DOI: https://doi.org/10.1134/S1063454120020120

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