Hybrid classical-Bayesian approaches for sample size calculations are used to formally integrate prior beliefs or uncertainty about unknown parameters involved in the traditional power. In this paper, we consider a hybrid procedure that exploits different prior distributions according to the role played by the unknown quantities. The approach is applied to obtain the optimal sample sizes of comparative studies based on Poisson data by using the rate ratio as the measure of interest. A numerical example is provided, allowing the comparison between classical and hybrid methods.

A Flexible Hybrid Method for Sample Size Calculations in Comparative Poisson Trials / Gentile, Susanna; Sambucini, Valeria. - (2025), pp. 83-89. (Intervento presentato al convegno 52nd Scientific Meeting of the Italian Statistical Society tenutosi a Bari, Italy) [10.1007/978-3-031-64447-4].

A Flexible Hybrid Method for Sample Size Calculations in Comparative Poisson Trials

Susanna Gentile
Co-primo
;
Valeria Sambucini
Co-primo
2025

Abstract

Hybrid classical-Bayesian approaches for sample size calculations are used to formally integrate prior beliefs or uncertainty about unknown parameters involved in the traditional power. In this paper, we consider a hybrid procedure that exploits different prior distributions according to the role played by the unknown quantities. The approach is applied to obtain the optimal sample sizes of comparative studies based on Poisson data by using the rate ratio as the measure of interest. A numerical example is provided, allowing the comparison between classical and hybrid methods.
2025
52nd Scientific Meeting of the Italian Statistical Society
gamma prior distributions; hybrid classical-Bayesian approach; Poisson clinical trials; sample size determination
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
A Flexible Hybrid Method for Sample Size Calculations in Comparative Poisson Trials / Gentile, Susanna; Sambucini, Valeria. - (2025), pp. 83-89. (Intervento presentato al convegno 52nd Scientific Meeting of the Italian Statistical Society tenutosi a Bari, Italy) [10.1007/978-3-031-64447-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1734990
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