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Dec 6, 2015 09:51
8 yrs ago
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English term

alpha-spending function according to O’Brien and Fleming

English to Latvian Medical Medical (general) clinical trial, statistics
The study uses a group-sequential design using an alpha-spending function according to O’Brien and Fleming

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Reference comments

357 days
Reference:

Alpha spending functions that approximate O’Brien-Fleming

Alpha spending functions that approximate O’Brien-Fleming or Pocock Boundaries are as follows:

O’Brien−Fleming:α1(t∗)=2−2Φ(Zα/2/t∗−−√),
Pocock:α2(t∗)=αln(1+(e−1)t∗),
where Φ denotes the standard normal cumulative distribution function. To solve for the boundary values zc(k), we need to obtain the joint distribution of Z{(1), Z(2),…, Z(k)}. In most cases, this distribution is asymptotically multivariate normal, and the covariance matrix Σ is simple when the test statistics involve the same parameter at each interim analysis.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4024106/
The use of alpha spending functions has become a powerful tool in designing group sequential trials since 1990

The O'Brien-Fleming Alpha Spending Function
Description
Stipulates alpha spending according to the O'Brien-Fleming spending function in the Lan-Demets boundary construction method. Its intended purpose is in constructing calls to GrpSeqBnds and PwrGSD.
https://rdrr.io/rforge/PwrGSD/man/Ch3-ObrienFleming.html
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