This paper develops a unified framework for deriving optimal designs for hypothesis testing in the presence of several heteroscedastic groups. In particular, the obtained optimal designs are generalized Neyman allocations involving only two experimental groups. In order to account for the ordering among the treatments, particularly relevant in the clinical context for ethical reasons, we provide the optimal design for testing under constraints reflecting their effectiveness. The advantages of the suggested allocations are illustrated both theoretically and through several numerical examples, also compared with other designs proposed in the literature, showing a substantial gain in terms of both power and ethics.

Baldi Antognini, A., Frieri, R., Novelli, M., Zagoraiou, M. (2021). Optimal designs for testing the efficacy of heterogeneous experimental groups. ELECTRONIC JOURNAL OF STATISTICS, 15(1), 3217-3248 [10.1214/21-EJS1864].

Optimal designs for testing the efficacy of heterogeneous experimental groups

Baldi Antognini, Alessandro
;
Frieri, Rosamarie;Novelli, Marco;Zagoraiou, Maroussa
2021

Abstract

This paper develops a unified framework for deriving optimal designs for hypothesis testing in the presence of several heteroscedastic groups. In particular, the obtained optimal designs are generalized Neyman allocations involving only two experimental groups. In order to account for the ordering among the treatments, particularly relevant in the clinical context for ethical reasons, we provide the optimal design for testing under constraints reflecting their effectiveness. The advantages of the suggested allocations are illustrated both theoretically and through several numerical examples, also compared with other designs proposed in the literature, showing a substantial gain in terms of both power and ethics.
2021
Baldi Antognini, A., Frieri, R., Novelli, M., Zagoraiou, M. (2021). Optimal designs for testing the efficacy of heterogeneous experimental groups. ELECTRONIC JOURNAL OF STATISTICS, 15(1), 3217-3248 [10.1214/21-EJS1864].
Baldi Antognini, Alessandro; Frieri, Rosamarie; Novelli, Marco; Zagoraiou, Maroussa
File in questo prodotto:
File Dimensione Formato  
21-EJS1864.pdf

accesso aperto

Tipo: Versione (PDF) editoriale
Licenza: Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione 609.78 kB
Formato Adobe PDF
609.78 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/826516
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact