mHP.btilde: Compute the futility boundary (modified Haybittle-Peto) for...
In bnaras/ASSISTant: Adaptive Subgroup Selection in Group Sequential Trials
Description
Usage
Arguments
Details
References
Description
The futility boundary btilde is computed by
solving (under the alternative)
Usage
1
mHP.btilde(beta, cov.J)
Arguments
beta
the type II error
cov.J
the 3 x 3 covariance matrix
Details
P(\tilde{Z}_J^1≤\tilde{b} or \tilde{Z}_J^2≤\tilde{b}) = εβ
where the superscripts denote the stage and ε is the
fraction of the type I error (α) spent and β
is the type II error. We make use of the joint normal density of
Z_{J} (the overall group) at each of the three stages and the
fact that the \tilde{Z_J} is merely a translation of
Z_J. So here the calculation is based on a mean of zero and
has to be translated during use!
References
Adaptive Choice of Patient Subgroup for Comparing Two
Treatments by Tze Leung Lai and Philip W. Lavori and Olivia
Yueh-Wen Liao. Contemporary Clinical Trials, Vol. 39, No. 2, pp
191-200
(2014). http://www.sciencedirect.com/science/article/pii/S1551714414001311
bnaras/ASSISTant documentation built on Nov. 23, 2019, 6:20 p.m.
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Description Usage Arguments Details References
Description
The futility boundary btilde is computed by solving (under the alternative)
Usage
1 | mHP.btilde(beta, cov.J)
|
Arguments
beta |
the type II error |
cov.J |
the 3 x 3 covariance matrix |
Details
P(\tilde{Z}_J^1≤\tilde{b} or \tilde{Z}_J^2≤\tilde{b}) = εβ
where the superscripts denote the stage and ε is the fraction of the type I error (α) spent and β is the type II error. We make use of the joint normal density of Z_{J} (the overall group) at each of the three stages and the fact that the \tilde{Z_J} is merely a translation of Z_J. So here the calculation is based on a mean of zero and has to be translated during use!
References
Adaptive Choice of Patient Subgroup for Comparing Two Treatments by Tze Leung Lai and Philip W. Lavori and Olivia Yueh-Wen Liao. Contemporary Clinical Trials, Vol. 39, No. 2, pp 191-200 (2014). http://www.sciencedirect.com/science/article/pii/S1551714414001311
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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