A Computationally Simpler Algorithm for the UMVUE of a Normal Mean Following a Group Sequential Trial

When using data collected in a group sequential clinical trial, the sample mean is no longer the uniform minimum variance unbiased estimator (UMVUE) of the mean of a normal distribution. Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in th...

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Veröffentlicht in:Biometrics 1997-03, Vol.53 (1), p.365-369
Hauptverfasser: Emerson, Scott S., Kittelson, John M.
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description When using data collected in a group sequential clinical trial, the sample mean is no longer the uniform minimum variance unbiased estimator (UMVUE) of the mean of a normal distribution. Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in this setting. This algorithm, although computationally expensive, used only the basic software necessary for deriving group sequential boundaries. In this paper, we present an improved algorithm that results in greatly decreased computation times.
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subjects Algorithms
Analysis of Variance
Analytical estimating
Biometrics
Biometry
Clinical trials
Clinical Trials as Topic - statistics & numerical data
Estimators
Humans
Numerical integration
Point estimators
Sample size
Shorter Communications
Software
Statistical variance
Unbiased estimators
title A Computationally Simpler Algorithm for the UMVUE of a Normal Mean Following a Group Sequential Trial
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