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.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Zusammenfassung:	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.
ISSN:	0006-341X 1541-0420
DOI:	10.2307/2533122