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  • Simultaneous confidence intervals that are compatible with closted testing in adaptive designs

    Rights statement: C 2013 Biometrika Trust. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

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Simultaneous confidence intervals that are compatible with closed testing in adaptive designs

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Simultaneous confidence intervals that are compatible with closed testing in adaptive designs. / Magirr, Dominic; Jaki, Thomas; Posch, Martin et al.
In: Biometrika, Vol. 100, No. 4, 2013, p. 985-996.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Magirr, D, Jaki, T, Posch, M & Klingelmueller, F 2013, 'Simultaneous confidence intervals that are compatible with closed testing in adaptive designs', Biometrika, vol. 100, no. 4, pp. 985-996. https://doi.org/10.1093/biomet/ast035

APA

Magirr, D., Jaki, T., Posch, M., & Klingelmueller, F. (2013). Simultaneous confidence intervals that are compatible with closed testing in adaptive designs. Biometrika, 100(4), 985-996. https://doi.org/10.1093/biomet/ast035

Vancouver

Magirr D, Jaki T, Posch M, Klingelmueller F. Simultaneous confidence intervals that are compatible with closed testing in adaptive designs. Biometrika. 2013;100(4):985-996. Epub 2013 Oct 5. doi: 10.1093/biomet/ast035

Author

Magirr, Dominic ; Jaki, Thomas ; Posch, Martin et al. / Simultaneous confidence intervals that are compatible with closed testing in adaptive designs. In: Biometrika. 2013 ; Vol. 100, No. 4. pp. 985-996.

Bibtex

@article{96c2b9c5568d481aa6aaf05ff7c7295f,
title = "Simultaneous confidence intervals that are compatible with closed testing in adaptive designs",
abstract = "We describe a general method for finding a confidence region for a parameter vector that is compatible with the decisions of a two-stage closed test procedure in an adaptive experiment. The closed test procedure is characterized by the fact that rejection or nonrejection of a null hypothesis may depend on the decisions for other hypotheses and the compatible confidence region will, in general, have a complex, nonrectangular shape. We find the smallest cross-product of simultaneous confidence intervals containing the region and provide computational shortcuts for calculating the lower bounds on parameters corresponding to the rejected null hypotheses. We illustrate the method with an adaptive phase II/III clinical trial.",
keywords = "Closed testing principle, Combination test, Conditional error, Multiple comparisons, Simultaneous inference",
author = "Dominic Magirr and Thomas Jaki and Martin Posch and Florian Klingelmueller",
note = "C 2013 Biometrika Trust. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.",
year = "2013",
doi = "10.1093/biomet/ast035",
language = "English",
volume = "100",
pages = "985--996",
journal = "Biometrika",
issn = "0006-3444",
publisher = "Oxford University Press",
number = "4",

}

RIS

TY - JOUR

T1 - Simultaneous confidence intervals that are compatible with closed testing in adaptive designs

AU - Magirr, Dominic

AU - Jaki, Thomas

AU - Posch, Martin

AU - Klingelmueller, Florian

N1 - C 2013 Biometrika Trust. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

PY - 2013

Y1 - 2013

N2 - We describe a general method for finding a confidence region for a parameter vector that is compatible with the decisions of a two-stage closed test procedure in an adaptive experiment. The closed test procedure is characterized by the fact that rejection or nonrejection of a null hypothesis may depend on the decisions for other hypotheses and the compatible confidence region will, in general, have a complex, nonrectangular shape. We find the smallest cross-product of simultaneous confidence intervals containing the region and provide computational shortcuts for calculating the lower bounds on parameters corresponding to the rejected null hypotheses. We illustrate the method with an adaptive phase II/III clinical trial.

AB - We describe a general method for finding a confidence region for a parameter vector that is compatible with the decisions of a two-stage closed test procedure in an adaptive experiment. The closed test procedure is characterized by the fact that rejection or nonrejection of a null hypothesis may depend on the decisions for other hypotheses and the compatible confidence region will, in general, have a complex, nonrectangular shape. We find the smallest cross-product of simultaneous confidence intervals containing the region and provide computational shortcuts for calculating the lower bounds on parameters corresponding to the rejected null hypotheses. We illustrate the method with an adaptive phase II/III clinical trial.

KW - Closed testing principle

KW - Combination test

KW - Conditional error

KW - Multiple comparisons

KW - Simultaneous inference

U2 - 10.1093/biomet/ast035

DO - 10.1093/biomet/ast035

M3 - Journal article

VL - 100

SP - 985

EP - 996

JO - Biometrika

JF - Biometrika

SN - 0006-3444

IS - 4

ER -