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On the limit distribution of the power function induced by a design prior
by
Gubbiotti, Stefania
, De Santis, Fulvio
in
Asymptotic properties
/ Bayesian analysis
/ Clinical trials
/ Design parameters
/ Electric power distribution
/ Expected values
/ Hypotheses
/ Probability distribution
/ Random variables
/ Size determination
/ Success
2024
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On the limit distribution of the power function induced by a design prior
by
Gubbiotti, Stefania
, De Santis, Fulvio
in
Asymptotic properties
/ Bayesian analysis
/ Clinical trials
/ Design parameters
/ Electric power distribution
/ Expected values
/ Hypotheses
/ Probability distribution
/ Random variables
/ Size determination
/ Success
2024
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On the limit distribution of the power function induced by a design prior
by
Gubbiotti, Stefania
, De Santis, Fulvio
in
Asymptotic properties
/ Bayesian analysis
/ Clinical trials
/ Design parameters
/ Electric power distribution
/ Expected values
/ Hypotheses
/ Probability distribution
/ Random variables
/ Size determination
/ Success
2024
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On the limit distribution of the power function induced by a design prior
Journal Article
On the limit distribution of the power function induced by a design prior
2024
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Overview
The hybrid frequentist-Bayesian approach to sample size determination is based on the expectation of the power function of a test with respect to a design prior for the unknown parameter value. In clinical trials this quantity is often called probability of success (PoS). Determination of the limiting value of PoS as the number of observations tends to infinity, that is crucial for well defined sample size criteria, has been considered in previous articles. Here, we focus on the asymptotic behavior of the whole distribution of the power function induced by the design prior. Under mild conditions, we provide asymptotic results for the three most common classes of hypotheses on a scalar parameter. The impact of the design parameters choice on the distribution of the power function and on its limit is discussed.
Publisher
Springer Nature B.V
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