alpha-spending function according to O’Brien and Fleming
| 09:51 Dec 6, 2015 |
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| English to Latvian translations [PRO] Medical - Medical (general) / clinical trial, statistics | |||||||
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| Alpha spending functions that approximate O’Brien-Fleming |
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Reference comments
357 days |
| Reference: Alpha spending functions that approximate O’Brien-Fleming Reference information: 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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